Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 38, Issue 2, Pages 548-555Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036142998348182
Keywords
parabolic systems; difference schemes; stability
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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: [GRAPHICS] Here we present a modified stability condition for the above problem, and prove that this condition is optimal in some sense.
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