arXiv.orgOptimizing 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...