Spectral and pseudospectral methods for advection equations

Author:
Joseph E. Pasciak

Journal:
Math. Comp. **35** (1980), 1081-1092

MSC:
Primary 65M10; Secondary 65M15

DOI:
https://doi.org/10.1090/S0025-5718-1980-0583488-0

MathSciNet review:
583488

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Abstract: Spectral and pseudo spectral methods for advection equations are investigated. A basic framework is given which allows the application of techniques used in finite element analysis to spectral methods with trigonometric polynomials. Error estimates for semidiscrete spectral and pseudo spectral as well as fully discrete explicit pseudo spectral methods are given. The approximation schemes are shown to converge with infinite order.

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DOI:
https://doi.org/10.1090/S0025-5718-1980-0583488-0

Article copyright:
© Copyright 1980
American Mathematical Society