Spectral Methods for Initial Boundary Value Problems—An Alternative Approach

DOI10.1137/0727051zbMath0708.65089OpenAlexW2050479444MaRDI QIDQ3490886

Pravir K. Dutt

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727051

zbMATH Keywords

stabilityChebyshev polynomialsinitial boundary value problemsGegenbauer polynomialsspectral methodsspectral accuracyresidual minimizationequation errora priori energy estimatesspectral multigrid methodshyperbolic initial boundary value problemGauss-Lobatto quadrature rules

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) 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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