Stability Analysis of Finite Difference, Pseudospectral and Fourier–Galerkin Approximations for Time-Dependent Problems

DOI10.1137/1029110zbMath0646.65072OpenAlexW2013380836MaRDI QIDQ3790572

Publication date: 1987

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1029110

zbMATH Keywords

stability convergence consistency finite difference method projection Toeplitz matrix pseudospectral Fourier method circulant matrices periodic problem truncation errors aliasing Fourier-Galerkin method differentiation matrix

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

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