Talk ‘Adaptive and structure-preserving numerical methods’ on 2023-09-27

I was invited to give a talk Adaptive and structure-preserving numerical methods at the Computational Mathematics Seminar at Hasselt University (Belgium) on Wednesday, 2023-09-27, 14:30 CEST.

Abstract

We present some recent developments for the numerical simulation of transport-dominated problems such as compressible fluid flows and nonlinear dispersive wave equations. Starting from entropy-stable semidiscretizations, we describe recent developments of structure-preserving time integration methods based on relaxation. We also consider adaptive discretizations and provide an outlook to some recent developments.