Continuation-minimization methods for stability problems

DOI10.1016/0898-1221(93)90313-KzbMath0796.65112MaRDI QIDQ2365555

Eugene L. Allgower, Cheng-Sheng Chien

Publication date: 29 June 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultscontinuation methodsolution brancheslarge sparse continuation problemsunstable bifurcationstwo-dimensional semilinear elliptic eigenvalue problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (4)

Bifurcations of corank greater than two ⋮ Conjugate gradient methods for continuation problems. II ⋮ Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory ⋮ A parallel continuation algorithm for nonlinear eigenvalue problems

Cites Work

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• A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods

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