Preprint 2005-015

Stability of Finite Difference Schemes for Hyperbolic Systems in Two Space Dimensions

Jean-Francois Coulombel

Abstract: We study the stability of some finite difference schemes for hyperbolic systems in two space dimensions. The grid is assumed to be cartesian, but the space steps in each direction are not necessarily equal. Our sufficient stability conditions are shown to be also necessary for one concrete example. We conclude with some numerical illustrations of our results.



Paper:
Available as PDF (144 Kbytes), Postscript (344 Kbytes) or gzipped PostScript (144 Kbytes; uncompress using gunzip).
Author(s):
Jean-Francois Coulombel, <jfcoulom@math.univ-lille1.fr>
Publishing information:
Comments:
Submitted by:
<jfcoulom@math.univ-lille1.fr> April 7 2005.


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