Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems. II

Authors:
Moshe Goldberg and Eitan Tadmor

Journal:
Math. Comp. **48** (1987), 503-520

MSC:
Primary 65M10

MathSciNet review:
878687

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Abstract: The purpose of this paper is to extend the results of [4] in order to achieve more versatile, convenient stability criteria for a wide class of finite-difference approximations to initial-boundary value problems associated with the hyperbolic system in the quarter plane , . With these criteria, stability is easily established for a large number of examples, where many of the cases studied in the recent literature are included and generalized.

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DOI:
https://doi.org/10.1090/S0025-5718-1987-0878687-0

Article copyright:
© Copyright 1987
American Mathematical Society