Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly
type: Item
instance of: scholarly article
title: Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly
zbMATH Open document ID: 0641.65067
DOI: 10.1016/0021-9991(87)90085-4
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: The authors consider application of an approach of the second author and \textit{H. Samara} [Computing 31, 95-103 (1983; Zbl 0508.65045)] to the Tau method of Lanczos for numerical computation of eigenvalues of linear ordinary differential operators with polynomial coefficients and polynomial dependence on the eigenvalue parameter. Three numerical examples are studied involving second and fourth order equations with quadratic dependence on the eigenvalue parameter.
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 4045053
zbMATH Keywords: Lanczos method
zbMATH Keywords: Tau method
zbMATH Keywords: eigenvalues
zbMATH Keywords: linear ordinary differential operators with polynomial coefficients
zbMATH Keywords: polynomial dependence
zbMATH Keywords: numerical examples
author: K. M. Liu
author: Eduardo L. Ortiz
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90085-4
OpenAlex ID: W1975587738
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description: scientific article; zbMATH DE number 4045053