Numerical study of stability and nonlinear eigenvalue problems

zbMath0790.65092MaRDI QIDQ2367298

Alexey V. Goolin, S. V. Kartyshov

Publication date: 8 August 1993

Published in: Surveys on Mathematics for Industry (Search for Journal in Brave)

zbMATH Keywords

stabilitydifferential operatorsfinite difference methodssurvey papernonlinear eigenvalue problemsspectral problemdelay differential systemscylindrical spring

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Eigenvibrations of a bar with elastically attached load ⋮ Preconditioned iterative methods for a class of nonlinear eigenvalue problems ⋮ Eigenvibrations of a beam with elastically attached load ⋮ Eigenvibrations of a beam with load ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ Approximation of differential eigenvalue problems with a nonlinear dependence on the parameter ⋮ Finite element approximation of the minimal eigenvalue of a nonlinear eigenvalue problem ⋮ Mixed order systems of ordinary linear differential equations ⋮ Approximation of nonlinear spectral problems in a Hilbert space ⋮ Finite element approximation of the minimal eigenvalue and the corresponding positive eigenfunction of a nonlinear Sturm-Liouville problem ⋮ Error of the finite element approximation for a differential eigenvalue problem with nonlinear dependence on the spectral parameter ⋮ Approximation of positive semidefinite nonlinear eigenvalue problems ⋮ Finite element approximation with numerical integration for differential eigenvalue problems

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