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Optimizing Julia code: Improving the performance of adaptive mesh refinement with p4est in Trixi.jl
On this page
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Michael Schlottke-Lakemper, Andrew R. Winters, 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...
paper
New Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Michael Schlottke-Lakemper, Andrew R. Winters, 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 Paper ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Michael Schlottke-Lakemper, Andrew R. Winters, 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 ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics’ published in Journal of Computational Physics
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Michael Schlottke-Lakemper, Andrew R. Winters, 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...
julia
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...
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...
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...
talks
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...