Eigensolutions of boundary value problems using inverse iteration

DOI10.1016/0377-0427(91)90042-IzbMath0723.65064MaRDI QIDQ756951

David R. Fearn

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison of methodseigenvalue problemsfinite-difference operatorsmethod of inverse iterationOrr-Sommerfeld problemshooting method with orthonormalization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Oscillatory internal shear layers in rotating and precessing flows ⋮ Classification of magnetic instabilities ⋮ Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems

Cites Work

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• An automatic orthonormalization method for solving stiff boundary-value problems
• On the removal of the singularities from the Riccati method
• Hydromagnetic waves in a differentially rotating Annulus I. A test of local stability analysis
• Hydromagnetic waves in a differentially rotating sphere
• Hydromagnetic waves in a differentially rotating annulus. II. Resistive instabilities
• A SIMPLE NUMERICAL METHOD FOR SOLVING ORR–SOMMERFELD PROBLEMS

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