An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws

Autor:	Aslak Tveito, Ragnar Winther, Hans Joachim Schroll
Rok vydání:	1997
Předmět:	Numerical Analysis Computational Mathematics Conservation law Simple (abstract algebra) Applied Mathematics Bounded function Numerical analysis Mathematical analysis Finite difference method Zero (complex analysis) Non-equilibrium thermodynamics Relaxation (iterative method) Mathematics
Zdroj:	University of Southern Denmark
ISSN:	1095-7170 0036-1429
DOI:	10.1137/s0036142994268855
Popis:	A straightforward semi-implicit finite-difference method approximating a system of conservation laws including a stiff relaxation term is analyzed. We show that the error, measured in $\Lone$, is bounded by $O(\sqrt{\dt})$ independent of the stiffness, where the time step $\dt$ represents the mesh size. As a simple corollary we obtain that solutions of the stiff system converge toward the solution of an equilibrium model at a rate of $O(\delta^{1/3})$ in $\Lone$ as the relaxation time $\delta$ tends to zero.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a725822afe2310bfa2386587194f9fa https://doi.org/10.1137/s0036142994268855 Zobrazit plný text záznamu