• Schild Mathematik Ost
Mathematische Strömungsmechanik

Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik

High order strong stability preserving and asymptotic preserving multi-derivative IMEX Runge-Kutta methods
Datum: 25.03.2022, 15:00 - 16:00 Uhr
Kategorie: Seminar, Veranstaltung
Vortragende:r: Jingwei Hu

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 


In this work we present a class of high order strong stability preserving (SSP) implicit-explicit (IMEX) multiderivative Runge-Kutta schemes where the time-step restriction is independent of the stiff term. The SSP condition ensures that these methods are positivity preserving, and we present sufficient conditions under which such methods are also asymptotic preserving when applied to a range of problems, including a hyperbolic relaxation system, the Broadwell model, and the Bhatnagar-Gross-Krook (BGK) kinetic equation. We present numerical results to support the theoretical results, on a variety of problems. This is joint work with S. Gottlieb, Z. Grant, and R. Shu.

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