P. Öffner, J. Glaubitz, H. Ranocha.
Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration
Methods.
International Journal of Numerical Analysis and Modeling,
17.3: 332-349, 2020.
arXiv:1609.02393 [math.NA].
[bibtex]
G. A. Barrios de Léon, D. I. Ketcheson, H. Ranocha.
Pseudo-Energy-Preserving Explicit Runge-Kutta Methods.
arXiv:2407.15365 [math.NA], 2024.
[bibtex]
J. Glaubitz, H. Ranocha, A. R. Winters, M. Schlottke-Lakemper, P. Öffner, G. J. Gassner.
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods.
arXiv:2406.14557 [math.NA], 2024.
[bibtex]
H. Bartel, J. Lampert, H. Ranocha.
Structure-Preserving Numerical Methods for Fokker-Planck Equations.
arXiv:2404.07641 [math.NA], 2024.
[bibtex]
J. Lampert, H. Ranocha.
Structure-Preserving Numerical Methods for Two Nonlinear Systems of
Dispersive Wave Equations.
arXiv:2402.16669 [math.NA], 2024.
[bibtex]
T. Izgin, H. Ranocha.
Using Bayesian Optimization to Design Time Step Size Controllers with Application
to Modified Patankar-Runge-Kutta Methods.
arXiv:2312.01796 [math.NA], 2023.
[bibtex]
S. Bleecke, H. Ranocha.
Step size control for explicit relaxation Runge-Kutta methods preserving invariants.
arXiv:2311.14050 [math.NA], 2023.
[bibtex]
H. Ranocha, A. R. Winters, M. Schlottke-Lakemper, P. Öffner, J. Glaubitz, G. J. Gassner.
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws.
arXiv:2311.13888 [math.NA], 2023.
[bibtex]
H. Ranocha, J. Giesselmann.
Stability of step size control based on a posteriori error estimates.
arXiv:2307.12677 [math.NA], 2023.
[bibtex]
C. Reisch, H. Ranocha.
Modeling still matters: a surprising instance of catastrophic floating
point errors in mathematical biology and numerical methods for ODEs.
arXiv:2304.02365 [math.HO], 2023.
[bibtex]
V. Churavy, W. F. Godoy, C. Bauer, H. Ranocha, M. Schlottke-Lakemper,
L. Räss, J. Blaschke, M. Giordano, E. Schnetter, S. Omlin, J. S. Vetter,
A. Edelman.
Bridging HPC Communities through the Julia Programming Language.
arXiv:2211.02740 [cs.DC], 2022.
[bibtex]
H. Ranocha, K. Ostaszewski, P. Heinisch.
Numerical Methods for the Magnetic Induction Equation with Hall Effect
and Projections onto Divergence-Free Vector Fields.
arXiv:1810.01397 [math.NA], 2018.
[bibtex]
H. Ranocha.
Modern discontinuous Galerkin methods for compressible fluid flows.
Seminar Mathematics and Atmospheric Physics,
Online Seminar,
April 2024.
H. Ranocha.
Energy-preserving numerical methods for some dispersive shallow water models.
ALGORITMY 2024,
High Tatra Mountains, Slovakia, March 2024.
H. Ranocha.
Structure-preserving numerical methods for nonlinear dispersive wave equations.
Séminaire de Calcul Scientifique et Modélisation,
Université de Bordeaux (France), February 2024.
H. Ranocha.
Adaptive and structure-preserving numerical methods.
Computational Mathematics Seminar,
Hasselt University (Belgium), September 2023.
M. Schlottke-Lakemper, H. Ranocha.
Scaling Trixi.jl to more than 10,000 cores using MPI.
JuliaCon 2023,
MIT, Cambridge (USA), July 2023.
H. Ranocha.
Efficient and robust numerical methods based on adaptivity and structure preservation.
Seminar of Computational and Numerical Mathematics,
TU Hamburg-Harburg (TUHH, Germany), July 2023.
H. Ranocha.
Structure-preserving numerical methods for dispersive wave equations.
Keynote talk in the section S18: Numerical methods for differential equations.
GAMM Annual Meeting 2023,
Dresden (Germany), May 2023.
H. Ranocha.
Tutorial on Julia and Trixi.jl.
Seminar on Numerical Methods for PDEs,
Kassel University (Germany), May 2023.
H. Ranocha.
Some results on stability properties of discretizations of transport equations.
Applied Dynamical Systems Seminar,
Hamburg University (Germany), March 2023.
H. Ranocha.
Structure-preserving time integration methods based on relaxation.
Numerical Analysis Seminar,
Lund Univeristy (Sweden), February 2023.
H. Ranocha.
Robust and efficient high-performance computational fluid dynamics
enabled by modern numerical methods and technologies.
MUSEN center for Mechanics, Uncertainty and Simulation in ENgineering,
TU Braunschweig (Germany), November 2022.
M. Schlottke-Lakemper, H. Ranocha.
Reproducibility as a service: collaborative scientific computing with Julia.
MaRDI Workshop for Scientific Computing,
Münster (Germany), October 2022.
Efficient and Robust Time Integration with Automatic Step Size Control for
Compressible Computational Fluid Dynamics.
GAMM Annual Meeting 2022,
Aachen (Germany), August 2022.
Efficient and robust step size control for computational fluid dynamics.
Workshop on efficient high-order time discretization methods for PDEs (PDETD22),
Anacapri (Italy), May 2022.
Analysis Meets Data: Efficient Implementation and Optimized Time Integration
Methods with Automatic Step Size Control for Compressible Computational
Fluid Dynamics.
CSE Workshop on Modeling, Simulation & Optimization of Fluid Dynamic Applications,
Groß Schwansee (Germany), March 2022.
M. Schlottke-Lakemper, H. Ranocha.
Research software development with Julia.
NFDI4Ing Conference,
Virtual conference of the German National Research Data Infrastructure,
September 2021.
On stability of positivity-preserving Patankar-type time integration methods.
Bound-Preserving Space and Time Discretizations for Convection-Dominated
Problems,
Casa Matemática Oaxaca (CMO, Mexico), August 2021.
Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic
Step Size Control for Compressible Computational Fluid Dynamics.
Applied Mathematics Seminar,
University of Münster (Germany), July 2021.
H. Ranocha, M. Schlottke-Lakemper, A. R. Winters.
Tutorial on Trixi.jl: Adaptive high-order numerical simulations of hyperbolic PDEs in Julia.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
H. Ranocha, M. Quezada de Luna, D. Mitsotakis, D. I. Ketcheson.
Summation by parts methods for nonlinear dispersive wave equations.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
H. Ranocha, P. Öffner, R. Abgrall.
Entropy Corrections and Related Methods.
International Conference on Spectral and High Order Methods (ICOSAHOM 2020),
Virtual congress (originally scheduled in Vienna, Austria), July 2021.
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.
Seminar at the Institute for Numerical Simulation,
University of Cologne (Germany), May 2021.
Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs.
Applied Mathematics Seminar,
University of Münster (Germany), April 2021.
Fully-Discrete Entropy-Conservative and -Dissipative Methods Based on Relaxation.
SIAM Conference on Computational Science and Engineering (CSE21,
Virtual congress, March 2021.
Recent results on time integration methods for summation by parts schemes.
World Congress in Computational Mechanics and ECCOMAS Congress (WCCM-ECCOMAS 2020),
Virtual congress (originally scheduled in Paris, France), January 2021.
Structure-preserving numerical methods with applications in science and engineering.
Seminar at the Institute for Numerical Simulation,
University of Bonn (Germany), November 2020.
Physics-compatible high-order time integration methods for transport phenomena
based on relaxation.
Modeling and Simulation of Transport Phenomena (MoST 2020),
Treis-Karden (Germany) and online, October 2020.
General relaxation methods for initial-value problems
Online seminar "Stable and Efficient Time Integration Schemes for Conservation Laws
and Related Models",
organized by Philipp Öffner and me, July 2020.
Energy and Entropy in Numerical Methods: Structure Preserving Schemes
with Applications in Science and Engineering.
Computer, Electrical and Mathematical Sciences and Engineering Seminar,
King Abdullah University of Science and Technology (KAUST),
Thuwal (Saudi Arabia), February 2020.
Energy Stability of Runge-Kutta Methods and a Relaxation Approach.
Rémi Abgrall Group Internal Seminar,
Zürich (Switzerland), December 2019.
On Strong Stability of Runge-Kutta Methods.
Computer, Electrical and Mathematical Sciences and Engineering Seminar,
King Abdullah University of Science and Technology (KAUST),
Thuwal (Saudi Arabia), April 2019.
On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Problems.
VII European Workshop on High Order Numerical Methods for Evolutionary
PDEs: Theory and Applications (HONOM),
Madrid (Spain), April 2019.
High-Order Methods on Summation by Parts Form for the Magnetic Induction
Equation.
VII European Workshop on High Order Numerical Methods for Evolutionary
PDEs: Theory and Applications (HONOM),
Madrid (Spain), April 2019.
Überblick über mögliche Probleme numerischer Verfahren für Kontinuumsgleichungen.
Oberseminar Institut für Geophysik und extraterrestrische Physik,
TU Braunschweig (Germany), January 2018.
Generalised Summation-by-Parts Operators, Entropy Stability, and Split Forms.
Numerical Analysis Group Internal Seminar,
Oxford (United Kingdom), October 2017.
Correction Procedure via Reconstruction Using Summation-by-Parts Operators.
International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP),
Aachen (Germany), August 2016.
P. Öffner, H. Ranocha, T. Sonar.
Correction Procedure
via Reconstruction Using Summation-by-Parts Operators..
Theory, Numerics and Applications of Hyperbolic Problems II.
Ed. by C. Klingenberg, M. Westdickenberg.
Vol. 237. Springer Proceedings in Mathematics & Statistics.
Cham: Springer International Publishing, 2018, pp. 491-501.
[bibtex]
Summation-by-Parts and Correction Procedure via Reconstruction.
International Conference on Spectral and High Order Methods (ICOSAHOM),
Rio de Janeiro (Brazil), June 2016.
H. Ranocha, P. Öffner, T. Sonar.
Summation-by-Parts and
Correction Procedure via Reconstruction..
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016.
Ed. by M. L. Bittencourt, N. A. Dumont, J. S. Hesthaven.
Vol. 119. Lecture Notes in Computational Science and Engineering.
Cham: Springer, 2017, pp. 627-637.
[bibtex]
Correction procedure via reconstruction using summation-by-parts operators.
Vincent Lab Internal Seminar,
Imperial College London (United Kingdom), April 2016.