Stability and convergence of spectral methods for hyperbolic initial-boundary value problems
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- Math. Comp. 53 (1989), 547-561 Request permission
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
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D. Gottlieb, L. Lustman & E. Tadmor, Stability Analysis of Spectral Methods for Hyperbolic Initial Boundary Value Systems, NASA Contractor Report No. 178041, ICASE Report No. 86-2.
D. Gottlieb, L. Lustman & E. Tadmor, Convergence of Spectral Methods for Hyperbolic Initial Boundary Value Systems, NASA Contractor Report No. 178063, ICASE Report No. 86-8.
D. Gottlieb & S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, Philadelphia, 1984.
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Math. Comp. 53 (1989), 547-561
- MSC: Primary 65M70; Secondary 65M12
- DOI: https://doi.org/10.1090/S0025-5718-1989-0982366-0
- MathSciNet review: 982366