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On the Question about the Sufficiency of the von Neumann Criterion for Stability of Difference Schemes

✍ Scribed by B.Yu. Scobelev


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
89 KB
Volume
143
Category
Article
ISSN
0021-9991

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## Abstract A probabilistic approach has been used to analyse the stability of the various finite difference formulations for propagation of signals on a lossy transmission line. If the sign of certain transition probabilities is negative, then the algorithm is found to be unstable. We extend the c