Removal of infinite eigenvalues in the generalized matrix eigenvalue problem

DOI10.1016/0021-9991(89)90189-7zbMath0691.65020OpenAlexW2069307372MaRDI QIDQ582809

Arne J. Pearlstein, Dimitrios A. Goussis

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90189-7

zbMATH Keywords

Orr-Sommerfeld equationinfinite eigenvaluesgeneralized matrix eigenvalue problemreciprocal problemreduction of the order

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (9)

A Chebyshev collocation method for solving two-phase flow stability problems ⋮ Taylor vortices between elliptical cylinders ⋮ Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges ⋮ Linear stability of thermocapillary flow in partially confined half-zones ⋮ On the numerical treatment of the eigenparameter dependent boundary conditions ⋮ Interfacial instability of pressure-driven channel flow for a two-species model of entangled wormlike micellar solutions ⋮ Surface wave and thermocapillary instabilities in a liquid film flow ⋮ Shear-induced instabilities of flows through submerged vegetation ⋮ Linear instability and resonance effects in large-scale opposition flow control

Cites Work

• Unnamed Item
• Unnamed Item
• Elimination of spurious modes in finite element analysis
• A Chebyshev method for the solution of boundary value problems
• Removal of spurious modes encountered in solving stability problems by spectral methods
• Efficient transformation of certain singular polynomial matrix eigenvalue problems
• A matrix method for ordinary differential eigenvalue problems
• The $LZ$-Algorithm to Solve the Generalized Eigenvalue Problem
• Accurate solution of the Orr–Sommerfeld stability equation
• An Algorithm for Generalized Matrix Eigenvalue Problems

This page was built for publication: Removal of infinite eigenvalues in the generalized matrix eigenvalue problem