Preprint 1996021
An $L^1$error bound for a semiimplicit difference scheme applied to a
stiff system of conservation laws
Hans Joachim Schroll, Aslak Tveito, and Ragnar Winther
Abstract:
A straightforward semiimplicit 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. Furthermore, we show that
solutions of the stiff
system converge towards the solution of an equilibrium model
at a rate of $O(\delta^{1/3})$ in $\Lone$ as the relaxation
time $\delta$ tends to zero.
 Paper:
 Available as PostScript
 Title:
 An $L^1$error bound for a semiimplicit difference scheme applied to a
stiff system of conservation laws
 Author(s):
 Hans Joachim Schroll,
<schroll@igpm.rwthaachen.de>
 Aslak Tveito ,
<aslak@ifi.uio.no>
 Ragnar Winther,
<ragnar@ifi.uio.no>
 Publishing information:
 To appear in Siam J. Num. An.
 Comments:
 The psfile is 210 Kb
 Submitted by:

<wens@ifi.uio.no>
August 12 1996.
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