arXiv.orgNew 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.
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Recent posts
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...