Numerics with PDEs: Mathematics meets Computational Astrophysics

Thursday 28 Mar 2024, 09:00 → 18:00 Europe/Berlin

HS4 (TPI, FSU Jena)

Accurate astrophysical predictions of the evolution of, for instance, binary and isolated compact objects, rely on large computational simulations, solving a system of PDEs modelling the relevant physical processes. These simulations are underpinned by a mathematical framework for discretising these PDEs in a manner suited to being solved on a computer. This workshop will focus on the interface between the mathematical approach to the numerical solution of PDEs and their applications in approaching problems in computational astrophysics.

Talks

1 Spectrally-tuned compact finite-difference schemes with domain decomposition and applications to numerical relativity

Speaker: Boris Daszuta

2 On split form nodal discontinuous Galerkin methods to solve systems of conservations laws

Speaker: Gero Schnücke

3 GRMHD simulations with GR-Athena++

Speaker: William Cook

11:00 Coffee Break

Talks

4 High order methods in Numerical Relativity - Challenges and successes

Speaker: Florian Atteneder

5 Positivity preservation on the context of finite elements

Speaker: Christos Pervolianakis

12:30 Lunch

Discussion

6 Elliptic Equations

Speaker: Bernd Bruegmann

15:00 Coffee Break

Discussion