arXiv.orgTUM Summer School on HPC Driving AI 2026
Valentin Churavy from our group will give the talk Automatic Differentiation for Scientific Computing at the summer school TUM Summer School on HPC Driving A...
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Scientific Computing and Differential Equations (SciCADE 2026)
Marco Artiano from our group will be at the conference Scientific Computing and Differential Equations (SciCADE 2026) in Edinburgh, UK.
New Paper ‘Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations’ published in the Journal of Computational Physics
The paper Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations of Arpit Babbar, Valentin Churavy, ...
New Preprint ‘Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation’ on arXiv
Jan Giesselmann, Fabio Leotta, Jochen Schütz, and I have published our new preprint Justification and structure- and asymptotic-preserving discretizations of...
New Paper ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ published in the Journal of Computational Physics
The paper Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations of Arpit Babbar and me has been published in the Journal ...
Saurav Samantaray becomes assistant professor at IIT Madras
Saurav Samantaray has been working in our group as a postdoctoral researcher funded by the Mainz Institute of Multiscale Modelling (M3ODEL). Now, he moves on...
Arpit Babbar moves on to a job in industry
Arpit Babbar has been working in our group as a postdoctoral researcher funded by the Mainz Institute of Multiscale Modelling (M3ODEL) and the Alexander von ...
20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026) with several contributions
Louis Petri from our group will be at the 20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026) in Stuttgart, Ger...
New Paper ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ published in the SMAI Journal of Computational Mathematics
The paper The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable of Louis Petri, Gunnar Birke, Christian Engwer, and me has be...
European Geosciences Union (EGU) General Assembly 2026 with several contributions
Marco Artiano from our group will be at the European Geosciences Union (EGU) General Assembly 2026 in Vienna, Austria. Moreover, Hugo Dominguez (Geosciences ...
New Paper ‘Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods of Ferdinand Th...
New Preprint ‘Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity’ on arXiv
Marco Artiano, Saurav Samantaray, and I have published our new preprint Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelas...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving fluxes’ on arXiv
Arpit Babbar, Qifan Chen, and I have published our new preprint Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving...
New Preprint ‘A Positivity-Preserving Relaxation Algorithm’ on arXiv
Thomas Izgin, Chi-Wang Shu, and I have published our new preprint A Positivity-Preserving Relaxation Algorithm on arXiv.
New Preprint ‘Volume Term Adaptivity for Discontinuous Galerkin Schemes’ on arXiv
Daniel Doehring, Jesse Chan, Michael Schlottke-Lakemper, Manuel Torrilhon, Gregor Gassner, and I have published our new preprint Volume Term Adaptivity for D...
International Conference on High Order NOnlinear Numerical Methods for Evolutionary PDE (HONOM) 2026 with several contributions
Marco Artiano and Saurav Samantaray from our group will be at the International Conference on High Order Nonlinear Numerical Methods for Evolutionary PDE (HO...
New Preprint ‘On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems’ on arXiv
Marco Artiano and I have published our new preprint On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperb...
New Preprint ‘Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes’ on arXiv
Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper, Gregor Gassner, and I have published our new preprint Jin-Xin relaxation as a shock-capturing method...
Trixi User and Developer Interaction (TRUDI) 2026 with several contributions
Marco Artiano, Arpit Babbar, Valentin Churavy, and I will be at the Trixi User and Developer Interaction (TRUDI) 2026 in Cologne, Germany.
New paper ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ published in the SMAI Journal of Computational Mathematics
The paper Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions of Jan Giesselmann and me has been published in the SMAI Journal...
New Paper ‘A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays’ published in the Proceedings of the 51st Workshop on Geothermal Reservoir Engineering at Stanford University
The paper A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays of Collin Wittenstein, ...
Collin Wittenstein presents his work at the Stanford Geothermal Workshop 2026
Collin Wittenstein, a graduate student from our group who is currently a visiting student at MIT, will present some of our research at the Stanford Geotherma...
New Preprint ‘An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes’ on arXiv
Gunnar Birke, Christian Engwer, Sandra May, Louis Petri, and I have published our new preprint An Energy-Preserving Domain of Dependence Stabilization for th...
New Preprint ‘Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties’ on arXiv
Louis Petri, Sigrun Ortleb, Gunnar Birke, Christian Engwer, and I have published our new preprint Domain-of-dependence-stabilized cut-cell discretizations of...
New Preprint ‘GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serre-Green-Naghdi Equations in 2D’ on arXiv
Collin Wittenstein, Vincent Marks, Mario Ricchiuto, and I have published our new preprint GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serr...
Arpit Babbar presents our research at the seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM)
Arpit Babbar will present some of our research at the seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM) o...
New Preprint ‘Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations’ on arXiv
David I. Ketcheson and I have published our new preprint Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear...
New Paper ‘DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations’ published in the Journal of Open Source Software
The paper DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations of Joshua Lampert, Collin Witten...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ on arXiv
Arpit Babbar and I have published our new preprint Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations on arXiv.
New paper ‘Relaxation Runge-Kutta methods with First-Same-as-Last Structure’ published in the Journal of Scientific Computing
The paper Relaxation Runge-Kutta methods with First-Same-as-Last Structure of Sebastian Bleecke and me has been published in the Journal of Scientific Comput...
New Preprint ‘Asymptotic-preserving and energy-conserving methods for a hyperbolic approximation of the BBM equation’ on arXiv
Sebastian Bleecke, Abhijit Biswas, Jochen Schütz, David I. Ketcheson and I have published our new preprint Asymptotic-preserving and energy-conserving method...
New paper ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ published in Computational Science and Engineering
The paper Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations of Joshua Lampert and me has been published in Comput...
New Preprint ‘High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization’ on arXiv
David I. Ketcheson and I have published our new preprint High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperb...
New Preprint ‘Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows’ on arXiv
Marco Artiano, Oswald Knoth, Peter Spichtinger, and I have published our new preprint Structure-Preserving High-Order Methods for the Compressible Euler Equa...
Arpit Babbar presents our research at the online seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM)
Arpit Babbar will present some of our research at the online seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR...
Public outreach: Mainzer Wissenschaftsmarkt 2025
The institutes of Mathematics and Computer Science at Johannes Gutenberg University Mainz have joined forces to present their research and activities to the ...
Topics on Geometric Integration for Partial Differential Equations 2025 in Valladolid, Spain
Ángel Durán has organized the workshop Topics on Geometric Integration for Partial Differential Equations in Valladolid, Spain. Together with Cipriano Escala...
Valentin Churavy presents his work at the ML Coupling Workshop in Cambridge, UK
Valentin Churavy has presented some of his work at the ML Coupling Workshop in Cambridge, UK in Cambridge, UK.
Marco Artiano presents our research at the ECCOMAS 8th Young Investigators Conference 2025 in Pescara, Italy
Marco Artiano will present some of our research at the ECCOMAS 8th Young Investigators Conference 2025 in Pescara, Italy.
New Preprint ‘Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods’ on arXiv
Ferdinand Thein and I have published our new preprint Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Di...
Louis Petri presents our research at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2025 in Heidelberg
Louis Petri will present some of our research at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2025 in Heidelberg.
New Paper ‘Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs’ published in SIAM Review
The paper Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs of Cordu...
New Preprint ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ on arXiv
Louis Petri, Gunnar Birke, Christian Engwer, and I have published our new preprint The domain-of-dependence stabilization for cut-cell meshes is fully discre...
New Preprint ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ on arXiv
Jan Giesselmann and I have published our new preprint Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions on arXiv.
New Preprint ‘Real-time rail vehicle localisation using spatially resolved magnetic field measurements’ on arXiv
Niklas Dieckow, Katharina Ostaszewski, Philip Heinisch, Henriette Struckmann, and I have published our new preprint Real-time rail vehicle localisation using...
New Whitepaper ‘Open-Source Software for Structure-Preserving Computational Fluid Dynamics’ published in the ERCOFTAC Bulletin
The whitepaper Open-Source Software for Structure-Preserving Computational Fluid Dynamics of Francesco Capuano, Artur Palha, Francesc Xavier Trias Miquel, an...
New Preprint ‘Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators’ on arXiv
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordström, Sigrun Ortleb, and I have published our new preprint Stability of the Active Flux Metho...
New Preprint ‘Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration’ on arXiv
Daniel Doehring, Manuel Torrilhon, and I have published our new preprint Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Sta...
International Conference on Spectral and High Order Methods (ICOSAHOM 2025) with several contributions
Marco Artiano, Arpit Babbar, and Louis Petri from our group will be at the International Conference on Spectral and High Order Methods (ICOSAHOM 2025) in Mon...
Talk ‘Hyperbolic approximations of partial differential equations’ at the RMU Seminar Solution Concepts in PDEs
I have been invited to give a talk Hyperbolic approximations of partial differential equations at the RMU Seminar Solution Concepts in PDEs in June 2025.
New Paper ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ published in Numerical Methods for Partial Differential Equations
The paper Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form of Mario Ricchiuto and me has been publishe...
New Preprint ‘Automatic differentiation for Lax-Wendroff-type discretizations’ on arXiv
Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper, and I have published our new preprint Automatic differentiation for Lax-Wendroff-type discretizat...
Numerical Methods for Hyperbolic Problems (numhyp25) conference with several contributions
Marco Artiano, Arpit Babbar, Louis Petri, and I will be at the conference Numerical Methods for Hyperbolic Problems (numhyp25) in Darmstadt.
New Paper ‘PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods’ published in the Journal of Open Source Software
The paper PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods of Stefan Kopecz, Joshua Lampert, and me has been publish...
Talk ‘Structure-preserving time integration methods for dispersive wave equations’ at PDETD 2025
I have been invited to give a talk Structure-preserving time integration methods for dispersive wave equations at the workshop Efficient high-order time disc...
New Paper ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ published in the Journal of Scientific Computing
The paper Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation of Abhijit Bis...
New Paper ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ published in ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
The paper Pseudo-Energy-Preserving Explicit Runge-Kutta Methods of Gabriel A. Barrios de León, David I. Ketcheson, and me has been published in ESAIM: Mathem...
Sebastian Bleecke presents our work at the SIAM CSE 2025 conference
Sebastian Bleecke will present some of our work at the SIAM CSE 2025 conference in Forth Worth, Texas, USA.
New Paper ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods of Jan Glaubitz, Andrew R. Winters, M...
Valentin Churavy presents his work at the 5th conference for Research Software Engineering in Germany (deRSE25)
Valentin Churavy will present some of his work at the 5th conference for Research Software Engineering in Germany (deRSE25) in Karlsruhe.
New Paper ‘t8code - modular adaptive mesh refinement in the exascale era’ published in the Journal of Open Source Software
The paper t8code - modular adaptive mesh refinement in the exascale era of Johannes Holke, Johannes Markert, David Knapp, Lukas Dreyer, Sandro Elsweijer, Nik...
Saurav Samantaray joins our group
Saurav Samantaray has joined our group as a postdoc in February 2025. He will work on a joint project with Friederike Schmid (Institute of Physics, Johannes ...
Talk ‘Structure-preserving numerical methods for dispersive wave equations’ at the Rhein-Main-Arbeitskreis ‘Mathematics of Computation’
I will give a talk Structure-preserving numerical methods for dispersive wave equations at the Rhein-Main-Arbeitskreis Mathematics of Computation on Friday, ...
Talk ‘Robust and efficient time integration methods for compressible fluid dynamics’ at the collaborative research center TRR 146: Multiscale Simulation Methods for Soft Matter Systems
I will give a talk Robust and efficient time integration methods for compressible fluid dynamics at the collaborative research center TRR 146: Multiscale Sim...
New Preprint ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ on arXiv
Abhijit Biswas, David I. Ketcheson, Jochen Schütz, and I have published our new preprint Traveling-wave solutions and structure-preserving numerical methods ...
New Paper ‘An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements’ published in the Journal of Open Source Software
The paper An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements of David A. Kopriva, Andrew R. Winters, Michael Schlottke-Lakem...
Arpit Babbar awarded Humboldt Research Fellowship
Arpit Babbar has been awarded a prestigious Humboldt Research Fellowship for postdocs by the Alexander von Humboldt Foundation. He will work on “Discontinuou...
New Paper ‘Structure-preserving numerical methods for Fokker-Planck equations’ published in the Proceedings in Applied Mathematics and Mechanics
The paper Structure-preserving numerical methods for Fokker-Planck equations of Hanna Bartel, Joshua Lampert, and me has been published in the Proceedings in...
New Paper ‘GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups’ published in the Journal of Open Source Software
The paper GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups of Boris J. P. Kaus, Marcel Thielma...
New Paper ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ published in the Journal of Computational Physics
The paper On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws of Andrew R. Winters, Michael Schlottke-Lakemper,...
Arpit Babbar presents his work at the Indo-German Workshop on Hardware-aware Scientific Computing (IGHASC)
Arpit Babbar will present some of his PhD work at the Indo-German Workshop on Hardware-aware Scientific Computing (IGHASC) in Heidelberg.
Mathematics of the Weather 2024 conference with several contributions
Marco Artiano, Arpit Babbar, and I will be at the Mathematics of the Weather 2024 conference in Bad Orb.
Marco Artiano has published his first paper ‘On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Simulations’ in Flow, Turbulence and Combustion
Marco Artiano has published his first paper On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Si...
New Paper ‘Stability of step size control based on a posteriori error estimates’ published in Computational Science and Engineering
The paper Stability of step size control based on a posteriori error estimates of Jan Giesselmann and me has been published in Computational Science and Engi...
Mainzer Mathe-Akadamie 2024
I will teach a course on “Climate Modelling and Simulation” for pupils/students (age 15 to 18 years old) at the Mainzer Mathe-Akademie 2024 (in German).
Stefan Kopecz presents PositiveIntegrators.jl at NUMDIFF-17
Stefan Kopecz from the University of Kassel will present our new Julia package PositiveIntegrators.jl at NUMDIFF-17 in Halle, Germany. His abstract is
New Preprint ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ on arXiv
Mario Ricchiuto and I have published our new preprint Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form...
New Preprint ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ on arXiv
Gabriel A. Barrios de León, David I. Ketcheson, and I have published our new preprint Pseudo-Energy-Preserving Explicit Runge-Kutta Methods on arXiv.
Sebastian Bleecke presents his work at the International Conference on Scientific Computation and Differential Equations (SciCADE)
Sebastian Bleecke will present some of our work at the International Conference on Scientific Computation and Differential Equations (SciCADE) in Singapore i...
New Preprint ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ on arXiv
Jan Glaubitz, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor J. Gassner, and I have published our new preprint Generalized upwind summ...
New Paper ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ published in Communications in Applied Mathematics and Computational Science
The paper Multiderivative time integration methods preserving nonlinear functionals via relaxation of Jochen Schütz and me has been published in Communicatio...
Minisymposium Julia for High-Performance Computing at JuliaCon 2024
I am organizing the minisymposium “Julia for High-Performance Computing” at JuliaCon 2024. The minisymposium will take place on Friday, July 12, from 14:00 t...
New Preprint ‘Structure-Preserving Numerical Methods for Fokker-Planck Equations’ on arXiv
Hanna Bartel, Joshua Lampert, and I have published our new preprint Structure-Preserving Numerical Methods for Fokker-Planck Equations on arXiv.
New Preprint ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ on arXiv
Joshua Lampert and I have published our new preprint Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations on arXiv.
Talk ‘Structure-preserving numerical methods for nonlinear dispersive wave equations’ on 2024-02-15
I was invited to give a talk Structure-preserving numerical methods for nonlinear dispersive wave equations at the Séminaire de Calcul Scientifique et Modéli...
Julia User Group in Mainz (Germany)
We have initiated a new Julia User Group in Mainz (Germany). It provides a platform for everybody interested in Julia - both people new to Julia and people h...
New Preprint ‘Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods’ on arXiv
Thomas Izgin and I have published our new preprint Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Run...
New Preprint ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ on arXiv
Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner, and I have published our new preprint On the robustness of hi...
New Preprint ‘Step size control for explicit relaxation Runge-Kutta methods preserving invariants’ on arXiv
Sebastian Bleecke and I have published our new preprint Step size control for explicit relaxation Runge-Kutta methods preserving invariants on arXiv.
New Preprint ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ on arXiv
Jochen Schütz and I have published our new preprint Multiderivative time integration methods preserving nonlinear functionals via relaxation on arXiv.
Summer school ‘Research Software Engineering with Julia: Basics, Visualization, and Statistics’ in Stuttgart
I was invited to give lectures at the summer school Research Software Engineering with Julia: Basics, Visualization, and Statistics in Stuttgart in the week ...
New Paper ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ published in ACM Transactions on Mathematical Software
The paper Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws of Michael Sch...
Talk ‘Adaptive and structure-preserving numerical methods’ on 2023-09-27
I was invited to give a talk Adaptive and structure-preserving numerical methods at the Computational Mathematics Seminar at Hasselt University (Belgium) on ...
New Paper ‘Resolving Entropy Growth from Iterative Methods’ published in BIT Numerical Mathematics
The paper Resolving Entropy Growth from Iterative Methods of Viktor Linders, Philipp Birken, and me has been published in BIT Numerical Mathematics.
New Paper ‘Functional-preserving predictor-corrector multiderivative schemes’ published in Proceedings in Applied Mathematics and Mechanics
The paper Functional-preserving predictor-corrector multiderivative schemes of Jochen Schütz, Eleni Theodosiou, and me has been published in Proceedings in A...
New Preprint ‘Stability of step size control based on a posteriori error estimates’ on arXiv
Jan Giesselmann and I have published our new preprint Stability of step size control based on a posteriori error estimates on arXiv.
New Paper ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ published in the Journal of Computational Physics
My paper A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators has been publis...
Talk ‘Efficient and robust numerical methods based on adaptivity and structure preservation’ on 2023-07-05
I was invited to give a talk Efficient and robust numerical methods based on adaptivity and structure preservation at the Seminar of Computational and Numeri...
New Preprint ‘Functional-preserving predictor-corrector multiderivative schemes’
Jochen Schütz, Eleni Theodosiou, and I have published our new preprint Functional-preserving predictor-corrector multiderivative schemes.
New Paper ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ published in Communications on Applied Mathematics and Computation
The paper On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics of Andrew R. Winters, Hugo Guillermo Castro, Li...
Tutorial on the Julia programming language and Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic PDEs on 2023-05-24
I will give a tutorial on the Julia programming language and Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic PDEs in Ka...
Talk ‘Structure-preserving numerical methods for dispersive wave equations’ on 2023-05-31
I gave the keynote talk Structure-preserving numerical methods for dispersive wave equations in the section S18: Numerical methods for differential equations...
New Preprint ‘Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs’ on arXiv
Cordula Reisch and I have published our new preprint Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biol...
New Preprint ‘Resolving Entropy Growth from Iterative Methods’ on arXiv
Viktor Linders, Philipp Birken, and I have published our new preprint Resolving Entropy Growth from Iterative Methods on arXiv.
New Preprint ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ on arXiv
I have published my new preprint A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts o...
Talk ‘A Discretization of Elliptic Terms with Improved Convergence Properties Using Summation by Parts Operators’ on 2023-02-28
I submitted the talk A Discretization of Elliptic Terms with Improved Convergence Properties Using Summation by Parts Operators to the SIAM CSE Conference 20...
Minisymposium ‘Research Software Engineering with Julia’ at SIAM CSE 23
Michael Schlottke-Lakemper and I have organized the minisymposium Research Software Engineering with Julia at the SIAM CSE Conference 2023 in Amsterdam (The ...
Talk ‘Structure-preserving time integration methods based on relaxation’ on 2023-02-07
I gave the talk Structure-preserving time integration methods based on relaxation at the Numerical Analysis Seminar at Lund University (Sweden) on Tuesday, 2...
New Paper ‘Computing with B-series’ published in ACM Transactions on Mathematical Software
The paper Computing with B-series of David I. Ketcheson and me has been published in ACM Transactions on Mathematical Software.
New Preprint ‘Bridging HPC Communities through the Julia Programming Language’ on arXiv
Valentin Churavy, William F Godoy, Carsten Bauer, Michael Schlottke-Lakemper, Ludovic Räss, Johannes Blaschke, Mosè Giordano, Erik Schnetter, Samuel Omlin, J...
Talk ‘Robust and efficient high-performance computational fluid dynamics enabled by modern numerical methods and technologies’ on 2022-11-03
I gave the talk Robust and efficient high-performance computational fluid dynamics enabled by modern numerical methods and technologies at the MUSEN center f...
Talk ‘Reproducibility as a service: collaborative scientific computing with Julia’ on 2022-10-27
Michael Schlottke-Lakemper and I gave the talk Reproducibility as a service: collaborative scientific computing with Julia at the MaRDI Workshop for Scientif...
New Preprint ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ on arXiv
Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcin, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani, and I have published our new prepri...
Talk ‘Efficient and Robust Time Integration with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on 2022-08-19
I gave a talk Efficient and Robust Time Integration with Automatic Step Size Control for Compressible Computational Fluid Dynamics at the 92nd annual meeting...
New Paper ‘Issues with positivity-preserving Patankar-type schemes’ published in Applied Numerical Mathematics
The paper Issues with positivity-preserving Patankar-type schemes of Davide Torlo, Philipp Öffner, and me has been published in Applied Numerical Mathematics.
New Paper ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ published in Frontiers in Physics
The paper On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows of Jesse Chan, An...
Talk ‘Efficient and robust step size control for computational fluid dynamics’ on 2022-05-11
I gave a talk Efficient and robust step size control for computational fluid dynamics at the workshop Efficient high-order time discretization methods for PD...
New Paper ‘A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations’ published in Journal of Computational Physics
My paper A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations has been published...
New Preprint ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ on arXiv
Jesse Chan, Andrés M. Rueda-Ramírez, Gregor J. Gassner, Tim Warburton, and I have published our new preprint On the entropy projection and the robustness of ...
New Paper ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ published in Proceedings of the JuliaCon Conferences
The paper Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing of Michael Schlottke-Lakemper, Andrew R. Winters, Erik...
New Preprint ‘A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations’ on arXiv
I have published my new preprint A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations on arXiv.
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization’ published in Journal of Computational Physics
The paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure P...
New Preprint ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ on arXiv
Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R Winters, Florian Hindenlang, Gregor J. Gassner, and I have published our new prepri...
New Preprint ‘Computing with B-series’ on arXiv
David I. Ketcheson and I have published our new preprint Computing with B-series on arXiv.
New Paper ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ published in Communications in Applied Mathematics and Computational Science
The paper Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics of Lisandro Dalcin, Matteo Parsani, Da...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ published in Communications in Applied Mathematics and Computational Science
The paper Positivity-Preserving Adaptive Runge-Kutta Methods of Stephan Nüßlein, David I. Ketcheson, and me has been published in Communications in Applied M...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ published in Partial Differential Equations and Applications
The paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations of Manuel Quezada de Luna, David I. Ketcheson, a...
New Paper ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties’ published in the Journal of Open Source Software
My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
New Preprint ‘A New Stability Approach for Positivity-Preserving Patankar-type Schemes’ on arXiv
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes on arXiv.
New Preprint ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner, and I have published our new preprint Adaptive numerical simula...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ published in Communications on Applied Mathematics and Computation
The paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes of Gregor J. Gassner and...
Talk ‘Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on 2021-07-07
I gave a talk Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics in th...
Optimizing Julia code: Improving the performance of entropy-conservative DG methods in Trixi.jl
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Optimizing Julia code: Improving the performance of adaptive mesh refinement with p4est in Trixi.jl
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New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
New Paper ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations’ published in SIAM Journal on Scientific Computing
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
Talk ‘Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs’ on 2021-04-27
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
New Preprint ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on arXiv
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ published in Journal of Scientific Computing
The paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts of Philippe G. LeFloch and me has been published in J...
New Paper ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions’ published in Journal of Scientific Computing
The paper A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions of Jan Nordström and me has been published in Jo...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ published in Communications in Computational Physics
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ on arXiv
Manuel Quezada de Luna, David I. Ketcheson, and I have published our new paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispe...
New Preprint ‘Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko’
Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Ingo Richter, Martin Rubin, Bruce Tsurutani, and I have publish...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems’ published in SIAM Journal on Numerical Analysis
The paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems of David I. Ketcheson and me has been published in SIAM J...
New Paper ‘NodePy: A package for the analysis of numerical ODE solvers’ published in Journal of Open Source Software
The paper NodePy: A package for the analysis of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael, and me h...
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ published in Journal of Computational Physics
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
New Paper ‘RK-Opt: A package for the design of numerical ODE solvers’ published in Journal of Open Source Software
The paper RK-Opt: A package for the design of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Zachary J Grant, Aron Ahmadia, and me has been pub...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ published in Numerische Mathematik
The paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes of Lajos Lóczi, David I. Ketcheson, and me has been pub...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ on arXiv
Gregor J. Gassner and I have published our new paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form ...
New Paper ‘A conservative fully-discrete numerical method for the regularised shallow water wave equations’ on arXiv
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
Conference Proceedings ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators’ of ICOSAHOM 2018 published
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ on arXiv
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ published in Computers and Mathematics with Applications
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ published in Journal of Scientific Computing
The paper Relaxation Runge-Kutta Methods for Hamiltonian Problems of David I. Ketcheson and me has been published in Journal of Scientific Computing. As usua...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ on arXiv
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Conference Proceedings ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ published
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ on arXiv
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
New Paper ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators’ published in IMA Journal of Numerical Analysis
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ on arXiv
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ published in SIAM Journal on Scientific Computing
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
New Paper ‘A Class of A Stable Summation by Parts Time Integration Schemes’ on arXiv
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes on arXiv.
New Paper ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ on arXiv
Philip Heinisch, Katharina Ostaszewski, and I have published our new paper Towards Green Computing: A Survey of Performance and Energy Efficiency of Differen...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ on arXiv
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
Conference Proceedings ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes’ of HYP2018 published
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ published in Communications on Applied Mathematics and Computation
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ on arXiv
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems on arXiv.
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ on arXiv
Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C Del Rey Fernández, David E Keyes, Matteo Parsani, and I have published our new paper On the robust...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems’ on arXiv
David I. Ketcheson and I have published our new paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems on arXiv.
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ on arXiv
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes’ on arXiv
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ on arXiv
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
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New Paper ‘Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations’ published in the Journal of Computational Physics
The paper Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations of Arpit Babbar, Valentin Churavy, ...
New Preprint ‘Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation’ on arXiv
Jan Giesselmann, Fabio Leotta, Jochen Schütz, and I have published our new preprint Justification and structure- and asymptotic-preserving discretizations of...
New Paper ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ published in the Journal of Computational Physics
The paper Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations of Arpit Babbar and me has been published in the Journal ...
New Paper ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ published in the SMAI Journal of Computational Mathematics
The paper The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable of Louis Petri, Gunnar Birke, Christian Engwer, and me has be...
New Paper ‘Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods of Ferdinand Th...
New Preprint ‘Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity’ on arXiv
Marco Artiano, Saurav Samantaray, and I have published our new preprint Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelas...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving fluxes’ on arXiv
Arpit Babbar, Qifan Chen, and I have published our new preprint Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving...
New Preprint ‘A Positivity-Preserving Relaxation Algorithm’ on arXiv
Thomas Izgin, Chi-Wang Shu, and I have published our new preprint A Positivity-Preserving Relaxation Algorithm on arXiv.
New Preprint ‘Volume Term Adaptivity for Discontinuous Galerkin Schemes’ on arXiv
Daniel Doehring, Jesse Chan, Michael Schlottke-Lakemper, Manuel Torrilhon, Gregor Gassner, and I have published our new preprint Volume Term Adaptivity for D...
New Preprint ‘On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems’ on arXiv
Marco Artiano and I have published our new preprint On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperb...
New Preprint ‘Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes’ on arXiv
Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper, Gregor Gassner, and I have published our new preprint Jin-Xin relaxation as a shock-capturing method...
New paper ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ published in the SMAI Journal of Computational Mathematics
The paper Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions of Jan Giesselmann and me has been published in the SMAI Journal...
New Paper ‘A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays’ published in the Proceedings of the 51st Workshop on Geothermal Reservoir Engineering at Stanford University
The paper A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays of Collin Wittenstein, ...
New Preprint ‘An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes’ on arXiv
Gunnar Birke, Christian Engwer, Sandra May, Louis Petri, and I have published our new preprint An Energy-Preserving Domain of Dependence Stabilization for th...
New Preprint ‘Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties’ on arXiv
Louis Petri, Sigrun Ortleb, Gunnar Birke, Christian Engwer, and I have published our new preprint Domain-of-dependence-stabilized cut-cell discretizations of...
New Preprint ‘GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serre-Green-Naghdi Equations in 2D’ on arXiv
Collin Wittenstein, Vincent Marks, Mario Ricchiuto, and I have published our new preprint GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serr...
New Preprint ‘Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations’ on arXiv
David I. Ketcheson and I have published our new preprint Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear...
New Paper ‘DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations’ published in the Journal of Open Source Software
The paper DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations of Joshua Lampert, Collin Witten...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ on arXiv
Arpit Babbar and I have published our new preprint Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations on arXiv.
New paper ‘Relaxation Runge-Kutta methods with First-Same-as-Last Structure’ published in the Journal of Scientific Computing
The paper Relaxation Runge-Kutta methods with First-Same-as-Last Structure of Sebastian Bleecke and me has been published in the Journal of Scientific Comput...
New Preprint ‘Asymptotic-preserving and energy-conserving methods for a hyperbolic approximation of the BBM equation’ on arXiv
Sebastian Bleecke, Abhijit Biswas, Jochen Schütz, David I. Ketcheson and I have published our new preprint Asymptotic-preserving and energy-conserving method...
New paper ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ published in Computational Science and Engineering
The paper Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations of Joshua Lampert and me has been published in Comput...
New Preprint ‘High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization’ on arXiv
David I. Ketcheson and I have published our new preprint High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperb...
New Preprint ‘Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows’ on arXiv
Marco Artiano, Oswald Knoth, Peter Spichtinger, and I have published our new preprint Structure-Preserving High-Order Methods for the Compressible Euler Equa...
New Preprint ‘Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods’ on arXiv
Ferdinand Thein and I have published our new preprint Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Di...
New Paper ‘Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs’ published in SIAM Review
The paper Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs of Cordu...
New Preprint ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ on arXiv
Louis Petri, Gunnar Birke, Christian Engwer, and I have published our new preprint The domain-of-dependence stabilization for cut-cell meshes is fully discre...
New Preprint ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ on arXiv
Jan Giesselmann and I have published our new preprint Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions on arXiv.
New Preprint ‘Real-time rail vehicle localisation using spatially resolved magnetic field measurements’ on arXiv
Niklas Dieckow, Katharina Ostaszewski, Philip Heinisch, Henriette Struckmann, and I have published our new preprint Real-time rail vehicle localisation using...
New Whitepaper ‘Open-Source Software for Structure-Preserving Computational Fluid Dynamics’ published in the ERCOFTAC Bulletin
The whitepaper Open-Source Software for Structure-Preserving Computational Fluid Dynamics of Francesco Capuano, Artur Palha, Francesc Xavier Trias Miquel, an...
New Preprint ‘Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators’ on arXiv
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordström, Sigrun Ortleb, and I have published our new preprint Stability of the Active Flux Metho...
New Preprint ‘Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration’ on arXiv
Daniel Doehring, Manuel Torrilhon, and I have published our new preprint Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Sta...
New Paper ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ published in Numerical Methods for Partial Differential Equations
The paper Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form of Mario Ricchiuto and me has been publishe...
New Preprint ‘Automatic differentiation for Lax-Wendroff-type discretizations’ on arXiv
Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper, and I have published our new preprint Automatic differentiation for Lax-Wendroff-type discretizat...
New Paper ‘PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods’ published in the Journal of Open Source Software
The paper PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods of Stefan Kopecz, Joshua Lampert, and me has been publish...
New Paper ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ published in the Journal of Scientific Computing
The paper Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation of Abhijit Bis...
New Paper ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ published in ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
The paper Pseudo-Energy-Preserving Explicit Runge-Kutta Methods of Gabriel A. Barrios de León, David I. Ketcheson, and me has been published in ESAIM: Mathem...
New Paper ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods of Jan Glaubitz, Andrew R. Winters, M...
New Paper ‘t8code - modular adaptive mesh refinement in the exascale era’ published in the Journal of Open Source Software
The paper t8code - modular adaptive mesh refinement in the exascale era of Johannes Holke, Johannes Markert, David Knapp, Lukas Dreyer, Sandro Elsweijer, Nik...
New Preprint ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ on arXiv
Abhijit Biswas, David I. Ketcheson, Jochen Schütz, and I have published our new preprint Traveling-wave solutions and structure-preserving numerical methods ...
New Paper ‘An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements’ published in the Journal of Open Source Software
The paper An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements of David A. Kopriva, Andrew R. Winters, Michael Schlottke-Lakem...
New Paper ‘Structure-preserving numerical methods for Fokker-Planck equations’ published in the Proceedings in Applied Mathematics and Mechanics
The paper Structure-preserving numerical methods for Fokker-Planck equations of Hanna Bartel, Joshua Lampert, and me has been published in the Proceedings in...
New Paper ‘GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups’ published in the Journal of Open Source Software
The paper GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups of Boris J. P. Kaus, Marcel Thielma...
New Paper ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ published in the Journal of Computational Physics
The paper On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws of Andrew R. Winters, Michael Schlottke-Lakemper,...
Marco Artiano has published his first paper ‘On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Simulations’ in Flow, Turbulence and Combustion
Marco Artiano has published his first paper On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Si...
New Paper ‘Stability of step size control based on a posteriori error estimates’ published in Computational Science and Engineering
The paper Stability of step size control based on a posteriori error estimates of Jan Giesselmann and me has been published in Computational Science and Engi...
New Preprint ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ on arXiv
Mario Ricchiuto and I have published our new preprint Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form...
New Preprint ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ on arXiv
Gabriel A. Barrios de León, David I. Ketcheson, and I have published our new preprint Pseudo-Energy-Preserving Explicit Runge-Kutta Methods on arXiv.
New Preprint ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ on arXiv
Jan Glaubitz, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor J. Gassner, and I have published our new preprint Generalized upwind summ...
New Paper ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ published in Communications in Applied Mathematics and Computational Science
The paper Multiderivative time integration methods preserving nonlinear functionals via relaxation of Jochen Schütz and me has been published in Communicatio...
New Preprint ‘Structure-Preserving Numerical Methods for Fokker-Planck Equations’ on arXiv
Hanna Bartel, Joshua Lampert, and I have published our new preprint Structure-Preserving Numerical Methods for Fokker-Planck Equations on arXiv.
New Preprint ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ on arXiv
Joshua Lampert and I have published our new preprint Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations on arXiv.
New Preprint ‘Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods’ on arXiv
Thomas Izgin and I have published our new preprint Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Run...
New Preprint ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ on arXiv
Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner, and I have published our new preprint On the robustness of hi...
New Preprint ‘Step size control for explicit relaxation Runge-Kutta methods preserving invariants’ on arXiv
Sebastian Bleecke and I have published our new preprint Step size control for explicit relaxation Runge-Kutta methods preserving invariants on arXiv.
New Preprint ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ on arXiv
Jochen Schütz and I have published our new preprint Multiderivative time integration methods preserving nonlinear functionals via relaxation on arXiv.
New Paper ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ published in ACM Transactions on Mathematical Software
The paper Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws of Michael Sch...
New Paper ‘Resolving Entropy Growth from Iterative Methods’ published in BIT Numerical Mathematics
The paper Resolving Entropy Growth from Iterative Methods of Viktor Linders, Philipp Birken, and me has been published in BIT Numerical Mathematics.
New Paper ‘Functional-preserving predictor-corrector multiderivative schemes’ published in Proceedings in Applied Mathematics and Mechanics
The paper Functional-preserving predictor-corrector multiderivative schemes of Jochen Schütz, Eleni Theodosiou, and me has been published in Proceedings in A...
New Preprint ‘Stability of step size control based on a posteriori error estimates’ on arXiv
Jan Giesselmann and I have published our new preprint Stability of step size control based on a posteriori error estimates on arXiv.
New Paper ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ published in the Journal of Computational Physics
My paper A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators has been publis...
New Preprint ‘Functional-preserving predictor-corrector multiderivative schemes’
Jochen Schütz, Eleni Theodosiou, and I have published our new preprint Functional-preserving predictor-corrector multiderivative schemes.
New Paper ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ published in Communications on Applied Mathematics and Computation
The paper On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics of Andrew R. Winters, Hugo Guillermo Castro, Li...
New Preprint ‘Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs’ on arXiv
Cordula Reisch and I have published our new preprint Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biol...
New Preprint ‘Resolving Entropy Growth from Iterative Methods’ on arXiv
Viktor Linders, Philipp Birken, and I have published our new preprint Resolving Entropy Growth from Iterative Methods on arXiv.
New Preprint ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ on arXiv
I have published my new preprint A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts o...
New Paper ‘Computing with B-series’ published in ACM Transactions on Mathematical Software
The paper Computing with B-series of David I. Ketcheson and me has been published in ACM Transactions on Mathematical Software.
New Preprint ‘Bridging HPC Communities through the Julia Programming Language’ on arXiv
Valentin Churavy, William F Godoy, Carsten Bauer, Michael Schlottke-Lakemper, Ludovic Räss, Johannes Blaschke, Mosè Giordano, Erik Schnetter, Samuel Omlin, J...
New Preprint ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ on arXiv
Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcin, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani, and I have published our new prepri...
New Paper ‘Issues with positivity-preserving Patankar-type schemes’ published in Applied Numerical Mathematics
The paper Issues with positivity-preserving Patankar-type schemes of Davide Torlo, Philipp Öffner, and me has been published in Applied Numerical Mathematics.
New Paper ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ published in Frontiers in Physics
The paper On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows of Jesse Chan, An...
New Paper ‘A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations’ published in Journal of Computational Physics
My paper A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations has been published...
New Preprint ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ on arXiv
Jesse Chan, Andrés M. Rueda-Ramírez, Gregor J. Gassner, Tim Warburton, and I have published our new preprint On the entropy projection and the robustness of ...
New Paper ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ published in Proceedings of the JuliaCon Conferences
The paper Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing of Michael Schlottke-Lakemper, Andrew R. Winters, Erik...
New Preprint ‘A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations’ on arXiv
I have published my new preprint A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations on arXiv.
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization’ published in Journal of Computational Physics
The paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure P...
New Preprint ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ on arXiv
Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R Winters, Florian Hindenlang, Gregor J. Gassner, and I have published our new prepri...
New Preprint ‘Computing with B-series’ on arXiv
David I. Ketcheson and I have published our new preprint Computing with B-series on arXiv.
New Paper ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ published in Communications in Applied Mathematics and Computational Science
The paper Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics of Lisandro Dalcin, Matteo Parsani, Da...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ published in Communications in Applied Mathematics and Computational Science
The paper Positivity-Preserving Adaptive Runge-Kutta Methods of Stephan Nüßlein, David I. Ketcheson, and me has been published in Communications in Applied M...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ published in Partial Differential Equations and Applications
The paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations of Manuel Quezada de Luna, David I. Ketcheson, a...
New Paper ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties’ published in the Journal of Open Source Software
My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
New Preprint ‘A New Stability Approach for Positivity-Preserving Patankar-type Schemes’ on arXiv
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes on arXiv.
New Preprint ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner, and I have published our new preprint Adaptive numerical simula...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ published in Communications on Applied Mathematics and Computation
The paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes of Gregor J. Gassner and...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
New Paper ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations’ published in SIAM Journal on Scientific Computing
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
New Preprint ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on arXiv
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ published in Journal of Scientific Computing
The paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts of Philippe G. LeFloch and me has been published in J...
New Paper ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions’ published in Journal of Scientific Computing
The paper A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions of Jan Nordström and me has been published in Jo...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ published in Communications in Computational Physics
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ on arXiv
Manuel Quezada de Luna, David I. Ketcheson, and I have published our new paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispe...
New Preprint ‘Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko’
Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Ingo Richter, Martin Rubin, Bruce Tsurutani, and I have publish...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems’ published in SIAM Journal on Numerical Analysis
The paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems of David I. Ketcheson and me has been published in SIAM J...
New Paper ‘NodePy: A package for the analysis of numerical ODE solvers’ published in Journal of Open Source Software
The paper NodePy: A package for the analysis of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael, and me h...
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ published in Journal of Computational Physics
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
New Paper ‘RK-Opt: A package for the design of numerical ODE solvers’ published in Journal of Open Source Software
The paper RK-Opt: A package for the design of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Zachary J Grant, Aron Ahmadia, and me has been pub...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ published in Numerische Mathematik
The paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes of Lajos Lóczi, David I. Ketcheson, and me has been pub...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ on arXiv
Gregor J. Gassner and I have published our new paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form ...
New Paper ‘A conservative fully-discrete numerical method for the regularised shallow water wave equations’ on arXiv
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
Conference Proceedings ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators’ of ICOSAHOM 2018 published
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ on arXiv
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ published in Computers and Mathematics with Applications
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ published in Journal of Scientific Computing
The paper Relaxation Runge-Kutta Methods for Hamiltonian Problems of David I. Ketcheson and me has been published in Journal of Scientific Computing. As usua...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ on arXiv
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Conference Proceedings ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ published
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ on arXiv
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
New Paper ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators’ published in IMA Journal of Numerical Analysis
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ on arXiv
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ published in SIAM Journal on Scientific Computing
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
New Paper ‘A Class of A Stable Summation by Parts Time Integration Schemes’ on arXiv
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes on arXiv.
New Paper ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ on arXiv
Philip Heinisch, Katharina Ostaszewski, and I have published our new paper Towards Green Computing: A Survey of Performance and Energy Efficiency of Differen...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ on arXiv
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
Conference Proceedings ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes’ of HYP2018 published
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ published in Communications on Applied Mathematics and Computation
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ on arXiv
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems on arXiv.
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ on arXiv
Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C Del Rey Fernández, David E Keyes, Matteo Parsani, and I have published our new paper On the robust...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems’ on arXiv
David I. Ketcheson and I have published our new paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems on arXiv.
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ on arXiv
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes’ on arXiv
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ on arXiv
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
arXiv
New Preprint ‘Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation’ on arXiv
Jan Giesselmann, Fabio Leotta, Jochen Schütz, and I have published our new preprint Justification and structure- and asymptotic-preserving discretizations of...
New Preprint ‘Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity’ on arXiv
Marco Artiano, Saurav Samantaray, and I have published our new preprint Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelas...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving fluxes’ on arXiv
Arpit Babbar, Qifan Chen, and I have published our new preprint Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving...
New Preprint ‘A Positivity-Preserving Relaxation Algorithm’ on arXiv
Thomas Izgin, Chi-Wang Shu, and I have published our new preprint A Positivity-Preserving Relaxation Algorithm on arXiv.
New Preprint ‘Volume Term Adaptivity for Discontinuous Galerkin Schemes’ on arXiv
Daniel Doehring, Jesse Chan, Michael Schlottke-Lakemper, Manuel Torrilhon, Gregor Gassner, and I have published our new preprint Volume Term Adaptivity for D...
New Preprint ‘On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems’ on arXiv
Marco Artiano and I have published our new preprint On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperb...
New Preprint ‘Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes’ on arXiv
Marco Artiano, Arpit Babbar, Michael Schlottke-Lakemper, Gregor Gassner, and I have published our new preprint Jin-Xin relaxation as a shock-capturing method...
New Preprint ‘An Energy-Preserving Domain of Dependence Stabilization for the Linear Wave Equation on Cut-Cell Meshes’ on arXiv
Gunnar Birke, Christian Engwer, Sandra May, Louis Petri, and I have published our new preprint An Energy-Preserving Domain of Dependence Stabilization for th...
New Preprint ‘Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties’ on arXiv
Louis Petri, Sigrun Ortleb, Gunnar Birke, Christian Engwer, and I have published our new preprint Domain-of-dependence-stabilized cut-cell discretizations of...
New Preprint ‘GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serre-Green-Naghdi Equations in 2D’ on arXiv
Collin Wittenstein, Vincent Marks, Mario Ricchiuto, and I have published our new preprint GPU-Accelerated Energy-Conserving Methods for the Hyperbolized Serr...
New Preprint ‘Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations’ on arXiv
David I. Ketcheson and I have published our new preprint Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear...
New Preprint ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ on arXiv
Arpit Babbar and I have published our new preprint Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations on arXiv.
New Preprint ‘Asymptotic-preserving and energy-conserving methods for a hyperbolic approximation of the BBM equation’ on arXiv
Sebastian Bleecke, Abhijit Biswas, Jochen Schütz, David I. Ketcheson and I have published our new preprint Asymptotic-preserving and energy-conserving method...
New Preprint ‘High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization’ on arXiv
David I. Ketcheson and I have published our new preprint High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperb...
New Preprint ‘Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows’ on arXiv
Marco Artiano, Oswald Knoth, Peter Spichtinger, and I have published our new preprint Structure-Preserving High-Order Methods for the Compressible Euler Equa...
New Preprint ‘Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods’ on arXiv
Ferdinand Thein and I have published our new preprint Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Di...
New Preprint ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ on arXiv
Louis Petri, Gunnar Birke, Christian Engwer, and I have published our new preprint The domain-of-dependence stabilization for cut-cell meshes is fully discre...
New Preprint ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ on arXiv
Jan Giesselmann and I have published our new preprint Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions on arXiv.
New Preprint ‘Real-time rail vehicle localisation using spatially resolved magnetic field measurements’ on arXiv
Niklas Dieckow, Katharina Ostaszewski, Philip Heinisch, Henriette Struckmann, and I have published our new preprint Real-time rail vehicle localisation using...
New Preprint ‘Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators’ on arXiv
Wasilij Barsukow, Christian Klingenberg, Lisa Lechner, Jan Nordström, Sigrun Ortleb, and I have published our new preprint Stability of the Active Flux Metho...
New Preprint ‘Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration’ on arXiv
Daniel Doehring, Manuel Torrilhon, and I have published our new preprint Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Sta...
New Preprint ‘Automatic differentiation for Lax-Wendroff-type discretizations’ on arXiv
Arpit Babbar, Valentin Churavy, Michael Schlottke-Lakemper, and I have published our new preprint Automatic differentiation for Lax-Wendroff-type discretizat...
New Preprint ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ on arXiv
Abhijit Biswas, David I. Ketcheson, Jochen Schütz, and I have published our new preprint Traveling-wave solutions and structure-preserving numerical methods ...
New Preprint ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ on arXiv
Mario Ricchiuto and I have published our new preprint Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form...
New Preprint ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ on arXiv
Gabriel A. Barrios de León, David I. Ketcheson, and I have published our new preprint Pseudo-Energy-Preserving Explicit Runge-Kutta Methods on arXiv.
New Preprint ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ on arXiv
Jan Glaubitz, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor J. Gassner, and I have published our new preprint Generalized upwind summ...
New Preprint ‘Structure-Preserving Numerical Methods for Fokker-Planck Equations’ on arXiv
Hanna Bartel, Joshua Lampert, and I have published our new preprint Structure-Preserving Numerical Methods for Fokker-Planck Equations on arXiv.
New Preprint ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ on arXiv
Joshua Lampert and I have published our new preprint Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations on arXiv.
New Preprint ‘Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Runge-Kutta Methods’ on arXiv
Thomas Izgin and I have published our new preprint Using Bayesian Optimization to Design Time Step Size Controllers with Application to Modified Patankar-Run...
New Preprint ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ on arXiv
Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner, and I have published our new preprint On the robustness of hi...
New Preprint ‘Step size control for explicit relaxation Runge-Kutta methods preserving invariants’ on arXiv
Sebastian Bleecke and I have published our new preprint Step size control for explicit relaxation Runge-Kutta methods preserving invariants on arXiv.
New Preprint ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ on arXiv
Jochen Schütz and I have published our new preprint Multiderivative time integration methods preserving nonlinear functionals via relaxation on arXiv.
New Preprint ‘Stability of step size control based on a posteriori error estimates’ on arXiv
Jan Giesselmann and I have published our new preprint Stability of step size control based on a posteriori error estimates on arXiv.
New Preprint ‘Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biology and numerical methods for ODEs’ on arXiv
Cordula Reisch and I have published our new preprint Modeling still matters: a surprising instance of catastrophic floating point errors in mathematical biol...
New Preprint ‘Resolving Entropy Growth from Iterative Methods’ on arXiv
Viktor Linders, Philipp Birken, and I have published our new preprint Resolving Entropy Growth from Iterative Methods on arXiv.
New Preprint ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ on arXiv
I have published my new preprint A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts o...
New Preprint ‘Bridging HPC Communities through the Julia Programming Language’ on arXiv
Valentin Churavy, William F Godoy, Carsten Bauer, Michael Schlottke-Lakemper, Ludovic Räss, Johannes Blaschke, Mosè Giordano, Erik Schnetter, Samuel Omlin, J...
New Preprint ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ on arXiv
Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcin, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani, and I have published our new prepri...
New Preprint ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ on arXiv
Jesse Chan, Andrés M. Rueda-Ramírez, Gregor J. Gassner, Tim Warburton, and I have published our new preprint On the entropy projection and the robustness of ...
New Preprint ‘A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations’ on arXiv
I have published my new preprint A Note on Numerical Fluxes Conserving Harten’s Entropies for the Compressible Euler Equations on arXiv.
New Preprint ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ on arXiv
Michael Schlottke-Lakemper, Jesse Chan, Andrés M. Rueda-Ramírez, Andrew R Winters, Florian Hindenlang, Gregor J. Gassner, and I have published our new prepri...
New Preprint ‘Computing with B-series’ on arXiv
David I. Ketcheson and I have published our new preprint Computing with B-series on arXiv.
New Preprint ‘A New Stability Approach for Positivity-Preserving Patankar-type Schemes’ on arXiv
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes on arXiv.
New Preprint ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Erik Faulhaber, Jesse Chan, Gregor J. Gassner, and I have published our new preprint Adaptive numerical simula...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ published in Communications on Applied Mathematics and Computation
The paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes of Gregor J. Gassner and...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
New Paper ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations’ published in SIAM Journal on Scientific Computing
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
New Preprint ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on arXiv
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ published in Journal of Scientific Computing
The paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts of Philippe G. LeFloch and me has been published in J...
New Paper ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions’ published in Journal of Scientific Computing
The paper A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions of Jan Nordström and me has been published in Jo...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ published in Communications in Computational Physics
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ on arXiv
Manuel Quezada de Luna, David I. Ketcheson, and I have published our new paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispe...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems’ published in SIAM Journal on Numerical Analysis
The paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems of David I. Ketcheson and me has been published in SIAM J...
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ published in Journal of Computational Physics
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ published in Numerische Mathematik
The paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes of Lajos Lóczi, David I. Ketcheson, and me has been pub...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ on arXiv
Gregor J. Gassner and I have published our new paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form ...
New Paper ‘A conservative fully-discrete numerical method for the regularised shallow water wave equations’ on arXiv
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ on arXiv
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ on arXiv
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ published in Computers and Mathematics with Applications
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ published in Journal of Scientific Computing
The paper Relaxation Runge-Kutta Methods for Hamiltonian Problems of David I. Ketcheson and me has been published in Journal of Scientific Computing. As usua...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ on arXiv
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Conference Proceedings ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ published
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ on arXiv
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
New Paper ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators’ published in IMA Journal of Numerical Analysis
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
New Paper ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations’ on arXiv
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ published in SIAM Journal on Scientific Computing
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
New Paper ‘A Class of A Stable Summation by Parts Time Integration Schemes’ on arXiv
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes on arXiv.
New Paper ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ on arXiv
Philip Heinisch, Katharina Ostaszewski, and I have published our new paper Towards Green Computing: A Survey of Performance and Energy Efficiency of Differen...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ on arXiv
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ published in Communications on Applied Mathematics and Computation
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ on arXiv
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems on arXiv.
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ on arXiv
Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C Del Rey Fernández, David E Keyes, Matteo Parsani, and I have published our new paper On the robust...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems’ on arXiv
David I. Ketcheson and I have published our new paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems on arXiv.
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ on arXiv
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes’ on arXiv
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ on arXiv
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
journal
New Paper ‘Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations’ published in the Journal of Computational Physics
The paper Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations of Arpit Babbar, Valentin Churavy, ...
New Paper ‘Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations’ published in the Journal of Computational Physics
The paper Compact Runge-Kutta flux reconstruction methods for non-conservative hyperbolic equations of Arpit Babbar and me has been published in the Journal ...
New Paper ‘The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable’ published in the SMAI Journal of Computational Mathematics
The paper The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable of Louis Petri, Gunnar Birke, Christian Engwer, and me has be...
New Paper ‘Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Computing radially-symmetric solutions of the ultra-relativistic Euler equations with entropy-stable discontinuous Galerkin methods of Ferdinand Th...
New paper ‘Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions’ published in the SMAI Journal of Computational Mathematics
The paper Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions of Jan Giesselmann and me has been published in the SMAI Journal...
New Paper ‘A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays’ published in the Proceedings of the 51st Workshop on Geothermal Reservoir Engineering at Stanford University
The paper A Full Three-Dimensional GPU-Accelerated Model for Deep Borehole Heat Exchangers (DBHEs) Enabling Simulation of Well Arrays of Collin Wittenstein, ...
New Paper ‘DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations’ published in the Journal of Open Source Software
The paper DispersiveShallowWater.jl: A Julia library of structure-preserving numerical methods for dispersive wave equations of Joshua Lampert, Collin Witten...
New paper ‘Relaxation Runge-Kutta methods with First-Same-as-Last Structure’ published in the Journal of Scientific Computing
The paper Relaxation Runge-Kutta methods with First-Same-as-Last Structure of Sebastian Bleecke and me has been published in the Journal of Scientific Comput...
New paper ‘Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations’ published in Computational Science and Engineering
The paper Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations of Joshua Lampert and me has been published in Comput...
New Paper ‘Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs’ published in SIAM Review
The paper Modeling Still Matters: A Surprising Instance of Catastrophic Floating Point Errors in Mathematical Biology and Numerical Methods for ODEs of Cordu...
New Whitepaper ‘Open-Source Software for Structure-Preserving Computational Fluid Dynamics’ published in the ERCOFTAC Bulletin
The whitepaper Open-Source Software for Structure-Preserving Computational Fluid Dynamics of Francesco Capuano, Artur Palha, Francesc Xavier Trias Miquel, an...
New Paper ‘Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form’ published in Numerical Methods for Partial Differential Equations
The paper Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form of Mario Ricchiuto and me has been publishe...
New Paper ‘PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods’ published in the Journal of Open Source Software
The paper PositiveIntegrators.jl: A Julia library of positivity-preserving time integration methods of Stefan Kopecz, Joshua Lampert, and me has been publish...
New Paper ‘Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation’ published in the Journal of Scientific Computing
The paper Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation of Abhijit Bis...
New Paper ‘Pseudo-Energy-Preserving Explicit Runge-Kutta Methods’ published in ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
The paper Pseudo-Energy-Preserving Explicit Runge-Kutta Methods of Gabriel A. Barrios de León, David I. Ketcheson, and me has been published in ESAIM: Mathem...
New Paper ‘Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods’ published in the Journal of Computational Physics
The paper Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods of Jan Glaubitz, Andrew R. Winters, M...
New Paper ‘t8code - modular adaptive mesh refinement in the exascale era’ published in the Journal of Open Source Software
The paper t8code - modular adaptive mesh refinement in the exascale era of Johannes Holke, Johannes Markert, David Knapp, Lukas Dreyer, Sandro Elsweijer, Nik...
New Paper ‘An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements’ published in the Journal of Open Source Software
The paper An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements of David A. Kopriva, Andrew R. Winters, Michael Schlottke-Lakem...
New Paper ‘Structure-preserving numerical methods for Fokker-Planck equations’ published in the Proceedings in Applied Mathematics and Mechanics
The paper Structure-preserving numerical methods for Fokker-Planck equations of Hanna Bartel, Joshua Lampert, and me has been published in the Proceedings in...
New Paper ‘GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups’ published in the Journal of Open Source Software
The paper GeophysicalModelGenerator.jl: A Julia package to visualise geoscientific data and create numerical model setups of Boris J. P. Kaus, Marcel Thielma...
New Paper ‘On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws’ published in the Journal of Computational Physics
The paper On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws of Andrew R. Winters, Michael Schlottke-Lakemper,...
Marco Artiano has published his first paper ‘On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Simulations’ in Flow, Turbulence and Combustion
Marco Artiano has published his first paper On the Performances of Standard and Kinetic Energy Preserving Time-Integration Methods for Incompressible-Flow Si...
New Paper ‘Stability of step size control based on a posteriori error estimates’ published in Computational Science and Engineering
The paper Stability of step size control based on a posteriori error estimates of Jan Giesselmann and me has been published in Computational Science and Engi...
New Paper ‘Multiderivative time integration methods preserving nonlinear functionals via relaxation’ published in Communications in Applied Mathematics and Computational Science
The paper Multiderivative time integration methods preserving nonlinear functionals via relaxation of Jochen Schütz and me has been published in Communicatio...
New Paper ‘Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws’ published in ACM Transactions on Mathematical Software
The paper Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws of Michael Sch...
New Paper ‘Resolving Entropy Growth from Iterative Methods’ published in BIT Numerical Mathematics
The paper Resolving Entropy Growth from Iterative Methods of Viktor Linders, Philipp Birken, and me has been published in BIT Numerical Mathematics.
New Paper ‘Functional-preserving predictor-corrector multiderivative schemes’ published in Proceedings in Applied Mathematics and Mechanics
The paper Functional-preserving predictor-corrector multiderivative schemes of Jochen Schütz, Eleni Theodosiou, and me has been published in Proceedings in A...
New Paper ‘A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators’ published in the Journal of Computational Physics
My paper A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators has been publis...
New Paper ‘On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics’ published in Communications on Applied Mathematics and Computation
The paper On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics of Andrew R. Winters, Hugo Guillermo Castro, Li...
New Paper ‘Computing with B-series’ published in ACM Transactions on Mathematical Software
The paper Computing with B-series of David I. Ketcheson and me has been published in ACM Transactions on Mathematical Software.
New Paper ‘Issues with positivity-preserving Patankar-type schemes’ published in Applied Numerical Mathematics
The paper Issues with positivity-preserving Patankar-type schemes of Davide Torlo, Philipp Öffner, and me has been published in Applied Numerical Mathematics.
New Paper ‘On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows’ published in Frontiers in Physics
The paper On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows of Jesse Chan, An...
New Paper ‘A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations’ published in Journal of Computational Physics
My paper A Note on Numerical Fluxes Conserving a Member of Harten’s One-Parameter Family of Entropies for the Compressible Euler Equations has been published...
New Paper ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing’ published in Proceedings of the JuliaCon Conferences
The paper Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing of Michael Schlottke-Lakemper, Andrew R. Winters, Erik...
New Paper ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization’ published in Journal of Computational Physics
The paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure P...
New Paper ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ published in Communications in Applied Mathematics and Computational Science
The paper Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics of Lisandro Dalcin, Matteo Parsani, Da...
New Paper ‘Positivity-Preserving Adaptive Runge-Kutta Methods’ published in Communications in Applied Mathematics and Computational Science
The paper Positivity-Preserving Adaptive Runge-Kutta Methods of Stephan Nüßlein, David I. Ketcheson, and me has been published in Communications in Applied M...
New Paper ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations’ published in Partial Differential Equations and Applications
The paper On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations of Manuel Quezada de Luna, David I. Ketcheson, a...
New Paper ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties’ published in the Journal of Open Source Software
My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
New Paper ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes’ published in Communications on Applied Mathematics and Computation
The paper Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes of Gregor J. Gassner and...
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
New Paper ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations’ published in SIAM Journal on Scientific Computing
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
New Paper ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts’ published in Journal of Scientific Computing
The paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts of Philippe G. LeFloch and me has been published in J...
New Paper ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions’ published in Journal of Scientific Computing
The paper A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions of Jan Nordström and me has been published in Jo...
New Paper ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations’ published in Communications in Computational Physics
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
New Paper ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems’ published in SIAM Journal on Numerical Analysis
The paper Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems of David I. Ketcheson and me has been published in SIAM J...
New Paper ‘NodePy: A package for the analysis of numerical ODE solvers’ published in Journal of Open Source Software
The paper NodePy: A package for the analysis of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael, and me h...
New Paper ‘On the robustness and performance of entropy stable discontinuous collocation methods’ published in Journal of Computational Physics
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
New Paper ‘RK-Opt: A package for the design of numerical ODE solvers’ published in Journal of Open Source Software
The paper RK-Opt: A package for the design of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Zachary J Grant, Aron Ahmadia, and me has been pub...
New Paper ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes’ published in Numerische Mathematik
The paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes of Lajos Lóczi, David I. Ketcheson, and me has been pub...
New Paper ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems’ published in Journal of Scientific Computing
The paper Relaxation Runge-Kutta Methods for Hamiltonian Problems of David I. Ketcheson and me has been published in Journal of Scientific Computing. As usua...
New Paper ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators’ published in IMA Journal of Numerical Analysis
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
New Paper ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations’ published in SIAM Journal on Scientific Computing
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
New Paper ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators’ published in Communications on Applied Mathematics and Computation
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
talks
TUM Summer School on HPC Driving AI 2026
Valentin Churavy from our group will give the talk Automatic Differentiation for Scientific Computing at the summer school TUM Summer School on HPC Driving A...
Scientific Computing and Differential Equations (SciCADE 2026)
Marco Artiano from our group will be at the conference Scientific Computing and Differential Equations (SciCADE 2026) in Edinburgh, UK.
20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026) with several contributions
Louis Petri from our group will be at the 20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026) in Stuttgart, Ger...
European Geosciences Union (EGU) General Assembly 2026 with several contributions
Marco Artiano from our group will be at the European Geosciences Union (EGU) General Assembly 2026 in Vienna, Austria. Moreover, Hugo Dominguez (Geosciences ...
International Conference on High Order NOnlinear Numerical Methods for Evolutionary PDE (HONOM) 2026 with several contributions
Marco Artiano and Saurav Samantaray from our group will be at the International Conference on High Order Nonlinear Numerical Methods for Evolutionary PDE (HO...
Trixi User and Developer Interaction (TRUDI) 2026 with several contributions
Marco Artiano, Arpit Babbar, Valentin Churavy, and I will be at the Trixi User and Developer Interaction (TRUDI) 2026 in Cologne, Germany.
Collin Wittenstein presents his work at the Stanford Geothermal Workshop 2026
Collin Wittenstein, a graduate student from our group who is currently a visiting student at MIT, will present some of our research at the Stanford Geotherma...
Arpit Babbar presents our research at the seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM)
Arpit Babbar will present some of our research at the seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM) o...
Arpit Babbar presents our research at the online seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR-CAM)
Arpit Babbar will present some of our research at the online seminar of the Tata Institute for Fundamental Research - Centre for Applicable Mathematics (TIFR...
Topics on Geometric Integration for Partial Differential Equations 2025 in Valladolid, Spain
Ángel Durán has organized the workshop Topics on Geometric Integration for Partial Differential Equations in Valladolid, Spain. Together with Cipriano Escala...
Valentin Churavy presents his work at the ML Coupling Workshop in Cambridge, UK
Valentin Churavy has presented some of his work at the ML Coupling Workshop in Cambridge, UK in Cambridge, UK.
Marco Artiano presents our research at the ECCOMAS 8th Young Investigators Conference 2025 in Pescara, Italy
Marco Artiano will present some of our research at the ECCOMAS 8th Young Investigators Conference 2025 in Pescara, Italy.
Louis Petri presents our research at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2025 in Heidelberg
Louis Petri will present some of our research at the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2025 in Heidelberg.
International Conference on Spectral and High Order Methods (ICOSAHOM 2025) with several contributions
Marco Artiano, Arpit Babbar, and Louis Petri from our group will be at the International Conference on Spectral and High Order Methods (ICOSAHOM 2025) in Mon...
Talk ‘Hyperbolic approximations of partial differential equations’ at the RMU Seminar Solution Concepts in PDEs
I have been invited to give a talk Hyperbolic approximations of partial differential equations at the RMU Seminar Solution Concepts in PDEs in June 2025.
Numerical Methods for Hyperbolic Problems (numhyp25) conference with several contributions
Marco Artiano, Arpit Babbar, Louis Petri, and I will be at the conference Numerical Methods for Hyperbolic Problems (numhyp25) in Darmstadt.
Talk ‘Structure-preserving time integration methods for dispersive wave equations’ at PDETD 2025
I have been invited to give a talk Structure-preserving time integration methods for dispersive wave equations at the workshop Efficient high-order time disc...
Sebastian Bleecke presents our work at the SIAM CSE 2025 conference
Sebastian Bleecke will present some of our work at the SIAM CSE 2025 conference in Forth Worth, Texas, USA.
Valentin Churavy presents his work at the 5th conference for Research Software Engineering in Germany (deRSE25)
Valentin Churavy will present some of his work at the 5th conference for Research Software Engineering in Germany (deRSE25) in Karlsruhe.
Talk ‘Structure-preserving numerical methods for dispersive wave equations’ at the Rhein-Main-Arbeitskreis ‘Mathematics of Computation’
I will give a talk Structure-preserving numerical methods for dispersive wave equations at the Rhein-Main-Arbeitskreis Mathematics of Computation on Friday, ...
Talk ‘Robust and efficient time integration methods for compressible fluid dynamics’ at the collaborative research center TRR 146: Multiscale Simulation Methods for Soft Matter Systems
I will give a talk Robust and efficient time integration methods for compressible fluid dynamics at the collaborative research center TRR 146: Multiscale Sim...
Arpit Babbar presents his work at the Indo-German Workshop on Hardware-aware Scientific Computing (IGHASC)
Arpit Babbar will present some of his PhD work at the Indo-German Workshop on Hardware-aware Scientific Computing (IGHASC) in Heidelberg.
Mathematics of the Weather 2024 conference with several contributions
Marco Artiano, Arpit Babbar, and I will be at the Mathematics of the Weather 2024 conference in Bad Orb.
Stefan Kopecz presents PositiveIntegrators.jl at NUMDIFF-17
Stefan Kopecz from the University of Kassel will present our new Julia package PositiveIntegrators.jl at NUMDIFF-17 in Halle, Germany. His abstract is
Sebastian Bleecke presents his work at the International Conference on Scientific Computation and Differential Equations (SciCADE)
Sebastian Bleecke will present some of our work at the International Conference on Scientific Computation and Differential Equations (SciCADE) in Singapore i...
Minisymposium Julia for High-Performance Computing at JuliaCon 2024
I am organizing the minisymposium “Julia for High-Performance Computing” at JuliaCon 2024. The minisymposium will take place on Friday, July 12, from 14:00 t...
Talk ‘Structure-preserving numerical methods for nonlinear dispersive wave equations’ on 2024-02-15
I was invited to give a talk Structure-preserving numerical methods for nonlinear dispersive wave equations at the Séminaire de Calcul Scientifique et Modéli...
Summer school ‘Research Software Engineering with Julia: Basics, Visualization, and Statistics’ in Stuttgart
I was invited to give lectures at the summer school Research Software Engineering with Julia: Basics, Visualization, and Statistics in Stuttgart in the week ...
Talk ‘Adaptive and structure-preserving numerical methods’ on 2023-09-27
I was invited to give a talk Adaptive and structure-preserving numerical methods at the Computational Mathematics Seminar at Hasselt University (Belgium) on ...
Talk ‘Efficient and robust numerical methods based on adaptivity and structure preservation’ on 2023-07-05
I was invited to give a talk Efficient and robust numerical methods based on adaptivity and structure preservation at the Seminar of Computational and Numeri...
Tutorial on the Julia programming language and Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic PDEs on 2023-05-24
I will give a tutorial on the Julia programming language and Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic PDEs in Ka...
Talk ‘Structure-preserving numerical methods for dispersive wave equations’ on 2023-05-31
I gave the keynote talk Structure-preserving numerical methods for dispersive wave equations in the section S18: Numerical methods for differential equations...
Talk ‘A Discretization of Elliptic Terms with Improved Convergence Properties Using Summation by Parts Operators’ on 2023-02-28
I submitted the talk A Discretization of Elliptic Terms with Improved Convergence Properties Using Summation by Parts Operators to the SIAM CSE Conference 20...
Minisymposium ‘Research Software Engineering with Julia’ at SIAM CSE 23
Michael Schlottke-Lakemper and I have organized the minisymposium Research Software Engineering with Julia at the SIAM CSE Conference 2023 in Amsterdam (The ...
Talk ‘Structure-preserving time integration methods based on relaxation’ on 2023-02-07
I gave the talk Structure-preserving time integration methods based on relaxation at the Numerical Analysis Seminar at Lund University (Sweden) on Tuesday, 2...
Talk ‘Robust and efficient high-performance computational fluid dynamics enabled by modern numerical methods and technologies’ on 2022-11-03
I gave the talk Robust and efficient high-performance computational fluid dynamics enabled by modern numerical methods and technologies at the MUSEN center f...
Talk ‘Reproducibility as a service: collaborative scientific computing with Julia’ on 2022-10-27
Michael Schlottke-Lakemper and I gave the talk Reproducibility as a service: collaborative scientific computing with Julia at the MaRDI Workshop for Scientif...
Talk ‘Efficient and Robust Time Integration with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on 2022-08-19
I gave a talk Efficient and Robust Time Integration with Automatic Step Size Control for Compressible Computational Fluid Dynamics at the 92nd annual meeting...
Talk ‘Efficient and robust step size control for computational fluid dynamics’ on 2022-05-11
I gave a talk Efficient and robust step size control for computational fluid dynamics at the workshop Efficient high-order time discretization methods for PD...
Talk ‘Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics’ on 2021-07-07
I gave a talk Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics in th...
Talk ‘Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs’ on 2021-04-27
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
julia
Julia User Group in Mainz (Germany)
We have initiated a new Julia User Group in Mainz (Germany). It provides a platform for everybody interested in Julia - both people new to Julia and people h...
Summer school ‘Research Software Engineering with Julia: Basics, Visualization, and Statistics’ in Stuttgart
I was invited to give lectures at the summer school Research Software Engineering with Julia: Basics, Visualization, and Statistics in Stuttgart in the week ...
Optimizing Julia code: Improving the performance of entropy-conservative DG methods in Trixi.jl
On this page
Optimizing Julia code: Improving the performance of adaptive mesh refinement with p4est in Trixi.jl
On this page
Talk ‘Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs’ on 2021-04-27
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
Coloring in Scientific Publications
In this blog post, I want to share my current default choice of plotting options for articles and presentations. After some motivation, you will find the cod...
group
Saurav Samantaray becomes assistant professor at IIT Madras
Saurav Samantaray has been working in our group as a postdoctoral researcher funded by the Mainz Institute of Multiscale Modelling (M3ODEL). Now, he moves on...
Arpit Babbar moves on to a job in industry
Arpit Babbar has been working in our group as a postdoctoral researcher funded by the Mainz Institute of Multiscale Modelling (M3ODEL) and the Alexander von ...
Saurav Samantaray joins our group
Saurav Samantaray has joined our group as a postdoc in February 2025. He will work on a joint project with Friederike Schmid (Institute of Physics, Johannes ...
Arpit Babbar awarded Humboldt Research Fellowship
Arpit Babbar has been awarded a prestigious Humboldt Research Fellowship for postdocs by the Alexander von Humboldt Foundation. He will work on “Discontinuou...
proceedings
Conference Proceedings ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators’ of ICOSAHOM 2018 published
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
Conference Proceedings ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL’ published
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
Conference Proceedings ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes’ of HYP2018 published
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
trixi
Optimizing Julia code: Improving the performance of entropy-conservative DG methods in Trixi.jl
On this page
Optimizing Julia code: Improving the performance of adaptive mesh refinement with p4est in Trixi.jl
On this page
Talk ‘Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs’ on 2021-04-27
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
python
New Paper ‘NodePy: A package for the analysis of numerical ODE solvers’ published in Journal of Open Source Software
The paper NodePy: A package for the analysis of numerical ODE solvers of David I. Ketcheson, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael, and me h...
Coloring in Scientific Publications
In this blog post, I want to share my current default choice of plotting options for articles and presentations. After some motivation, you will find the cod...
outreach
Public outreach: Mainzer Wissenschaftsmarkt 2025
The institutes of Mathematics and Computer Science at Johannes Gutenberg University Mainz have joined forces to present their research and activities to the ...
Mainzer Mathe-Akadamie 2024
I will teach a course on “Climate Modelling and Simulation” for pupils/students (age 15 to 18 years old) at the Mainzer Mathe-Akademie 2024 (in German).
science
Coloring in Scientific Publications
In this blog post, I want to share my current default choice of plotting options for articles and presentations. After some motivation, you will find the cod...
publishing
Coloring in Scientific Publications
In this blog post, I want to share my current default choice of plotting options for articles and presentations. After some motivation, you will find the cod...