Gegenbauer Tau Methods With and Without Spurious Eigenvalues

DOI10.1137/070704228zbMath1201.65133arXiv0708.1900OpenAlexW2025580960MaRDI QIDQ5305921

Fabian Waleffe, Marios Charalambides

Publication date: 24 March 2010

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

Full work available at URL: https://arxiv.org/abs/0708.1900

zbMATH Keywords

Galerkin methodnumerical examplescomplex eigenvaluesspurious eigenvaluespositive eigenvaluesfourth order differential eigenvalue problemGegenbauer tau methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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