Eigensolutions of boundary value problems using inverse iteration
type: Item
instance of: scholarly article
title: Eigensolutions of boundary value problems using inverse iteration
zbMATH Open document ID: 0723.65064
DOI: 10.1016/0377-0427(91)90042-I
author: David R. Fearn
published in: Journal of Computational and Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: The method of inverse iteration is described and used to solve eigenvalue problems arising when differential operators are replaced by finite- difference operators. The Orr-Sommerfeld problem is used to test the method of inverse iteration. Both second- and fourth-order difference schemes are used, and the results compared with those obtained by a shooting method with orthonormalization.
reviewed by: Edmond V. Nicolau
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 4192992
zbMATH Keywords: comparison of methods
zbMATH Keywords: method of inverse iteration
zbMATH Keywords: eigenvalue problems
zbMATH Keywords: finite-difference operators
zbMATH Keywords: Orr-Sommerfeld problem
zbMATH Keywords: shooting method with orthonormalization
MaRDI profile type: Publication
cites work: Q3661894
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description: scientific article; zbMATH DE number 4192992