On the eigenvalues of second-order pseudospectral differentiation operators

DOI10.1016/S0045-7825(94)80034-0zbMath0824.65083MaRDI QIDQ1892472

Bruno D. Welfert

Publication date: 14 June 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

comparison of methodseigenvaluesLegendre spectral Galerkin methodLegendre pseudo-spectral collocation methodsecond-order pseudospectral differentiation operators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme ⋮ On the eigenvalues of the spectral second order differentiation operator and application to the boundary observability of the wave equation ⋮ Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations ⋮ On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

Cites Work

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• On the eigenvalues of second-order spectral differentiation operators
• An introduction to the numerical analysis of spectral methods. (Transl. of report CEA-N-2278, dated 1981, of the French Atomic Energy Commission, titled `Analyse numérique des méthodes spectrales')
• The Eigenvalues of Second-Order Spectral Differentiation Matrices

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