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Stability and convergence of spectral methods for hyperbolic initial-boundary value problems

Author: P. Dutt
Journal: Math. Comp. 53 (1989), 547-561
MSC: Primary 65M70; Secondary 65M12
MathSciNet review: 982366
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Abstract: In this paper we present a modified version of the pseudospectral method for solving initial-boundary value systems of hyperbolic partial differential equations. We are able to avoid problems of instability by regularizing the boundary conditions. We prove the stability and convergence of our proposed scheme and obtain error estimates.

References [Enhancements On Off] (What's this?)

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Keywords: Initial-boundary value problems, regularization, convolution, stability, convergence
Article copyright: © Copyright 1989 American Mathematical Society