Stability condition for difference schemes for parabolic systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)548-555
Journal / PublicationSIAM Journal on Numerical Analysis
Volume38
Issue number2
Online published19 Jul 2000
Publication statusPublished - 2000

Abstract

Recently, Goldberg studied in [M. Goldberg, SIAM J. Numer. Anal., 35 (1998), pp. 478-493, M. Goldberg, SIAM J. Numer. Anal., 35 (1998), pp. 1995-2003] stability conditions of a well-known family of difference schemes for the following multidimensional parabolic system of second order: 

∂u(x, t)/∂= ∑1≤pqs Apq 2u(x, t)/∂xpx+ ∑1≤ps B∂u(x, t)/∂x+ Cu(x, t). 

Here we present a modified stability condition for the above problem, and prove that this condition is optimal in some sense.

Research Area(s)

  • Difference schemes, Parabolic systems, Stability

Citation Format(s)

Stability condition for difference schemes for parabolic systems. / SUN, Weiwei; Yuan, Guangwei.

In: SIAM Journal on Numerical Analysis, Vol. 38, No. 2, 2000, p. 548-555.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review