Iterative algorithms for nonlinear ordinary differential eigenvalue problems

DOI10.1016/S0168-9274(01)00043-5zbMath0988.65056OpenAlexW2088800533WikidataQ127872549 ScholiaQ127872549MaRDI QIDQ5944564

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Publication date: 22 July 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00043-5

zbMATH Keywords

stabilitynumerical resultsfinite differencesiterative solutionseigenfunctionNewton iterationsnonlinear ordinary differential eigenvalue problemprinciple of argumentspline collocationzeros of rational functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Nonlinear ordinary differential operators (34L30) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

Successive \(m\)th approximation method for the nonlinear eigenvalue problem ⋮ Successive linear Newton interpolation methods for solving the large-scale nonlinear eigenvalue problems ⋮ Modified successive approximation methods for the nonlinear eigenvalue problems

Uses Software

• COLSYS

Cites Work

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