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
DOI:
https://doi.org/10.1090/S0025-5718-1987-0878687-0
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 ${{\mathbf {u}}_t} = A{{\mathbf {u}}_x} + B{\mathbf {u}} + {\mathbf {f}}$ in the quarter plane $x \geqslant 0$, $t \geqslant 0$. 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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© Copyright 1987
American Mathematical Society