Stability of the Fourier Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1979 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 16, pages 421-433 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Kreiss, Heinz-Otto; Oliger, Joseph;

doi: 10.1137/0716035

Stability of the Fourier Method

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Abstract

In this paper we develop a stability theory for the Fourier (or pseudo-spectral) method for linear hyperbolic and parabolic partial differential equations with variable coefficients.

Keywords

collocation method, Initial-boundary value problems for second-order parabolic equations, periodic boundary problem, periodic solutions, Spectral, collocation and related methods for boundary value problems involving PDEs, hyperbolic and parabolic partial differential equations, Initial-boundary value problems for second-order hyperbolic equations, stability, Fourier method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

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