My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes 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...
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...
I gave a talk Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics in th...
On this page
On this page
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
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...
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...
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
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...
Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Ingo Richter, Martin Rubin, Bruce Tsurutani, and I have publish...
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...
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...
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
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...
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...
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 ...
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
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...
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes 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...
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems 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...
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.
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes 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...
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...
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
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...
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...
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
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...
Katharina Ostaszewski, Karl-Heinz Glassmeier, Charlotte Goetz, Philip Heinisch, Pierre Henri, Ingo Richter, Martin Rubin, Bruce Tsurutani, and I have publish...
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...
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...
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
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...
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...
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 ...
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
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...
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes 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...
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems 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...
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.
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
Davide Torlo, Philipp Öffner, and I have published our new preprint A New Stability Approach for Positivity-Preserving Patankar-type Schemes 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...
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...
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new preprint Optimized Runge-Kutta Methods with Automatic Step Size Control for...
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...
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...
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
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...
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...
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
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...
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 ...
Dimitrios Mitsotakis, David I Ketcheson, Endre Süli, and I have published our new paper A conservative fully-discrete numerical method for the regularised sh...
Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. Gassner, and I have published our new paper A purely hyperbolic discontinuous Galerkin approach for ...
Philippe G. LeFloch and I have published our new paper Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts on arXiv.
The paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Lisandro Dalcin, Matteo Parsani, a...
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...
Dimitrios Mitsotakis, David I. Ketcheson, and I have published our new paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations on...
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
Stephan Nüßlein, David I. Ketcheson, and I have published our new paper Positivity-Preserving Adaptive Runge-Kutta Methods on arXiv.
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
Lisandro Dalcin, Matteo Parsani, and I have published our new paper Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Nav...
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
Jan Nordström and I have published our new paper A Class of A Stable Summation by Parts Time Integration Schemes 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...
Lajos Lóczi, David I. Ketcheson, and I have published our new paper General Relaxation Methods for Initial-Value Problems with Application to Multistep Schem...
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
David I. Ketcheson and I have published our new paper Relaxation Runge-Kutta Methods for Hamiltonian Problems 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...
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.
Katharina Ostaszewski, Philip Heinisch, and I have published our new paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Di...
Rémi Abgrall, Philipp Öffner, and I have published our new paper Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Dis...
Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, David I. Ketcheson, and I have published our new paper Relaxation Runge-Kutta Methods: Fully-Discrete Expl...
My paper SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties has been published in the Jou...
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...
The paper A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics of Michael Schlottke-Lakemper, Andrew R. Winters, Gregor J. G...
The paper A conservative fully-discrete numerical method for the regularized shallow water wave equations of Dimitrios Mitsotakis, David I Ketcheson, Endre S...
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...
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...
The paper A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations of Dimitrios Mitsotakis, David I. Ketcheson, and me has been publishe...
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...
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...
The paper On the robustness and performance of entropy stable discontinuous collocation methods of Diego Rojas, Radouan Boukharfane, Lisandro Dalcin, David C...
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...
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...
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...
My paper On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators has been published in IMA Journal of Numerical Analysis. As ...
The paper Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations of Mohammed S...
The paper Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators of Katharina Ostaszewski, P...
On this page
On this page
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
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...
My conference paper Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators has been pu...
Philip Heinisch, Katharina Ostaszewski, and I have published our contribution Towards Green Computing: A Survey of Performance and Energy Efficiency of Diffe...
The conference paper Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes of ...
On this page
On this page
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
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...
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...
I gave a talk Combining Analysis and Data: Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics in th...
I gave a talk Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs in the Applied Mathematics Seminar, University of Münster...
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...
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...
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