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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Symmetrizable finite difference operators

Author: Bruce A. Wade
Journal: Math. Comp. 54 (1990), 525-543
MSC: Primary 65M10
MathSciNet review: 1011447
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Abstract: We introduce the notion of a symmetrizable finite difference operator and prove that such operators are stable. We then present some sufficient conditions for symmetrizability. One of these extends H.-O. Kreiss’ theorem on dissipative difference schemes for hyperbolic equations to a more general case with full (x, t)-variable coefficients.

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Keywords: Symmetrizer, stability
Article copyright: © Copyright 1990 American Mathematical Society