An algorithm for computing unstable solutions of semilinear boundary value problems

DOI10.1007/BF02238539zbMath0793.65060OpenAlexW56479968MaRDI QIDQ1313252

Philip Korman

Publication date: 8 August 1994

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238539

zbMATH Keywords

energy functionalnumerical examplesboundary value problemgradient methoditerative processsaddle pointsdifference equationunstable solutionsminimization of a functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• Finite difference approximations to the Dirichlet problem for elliptic systems
• A numerical study of spontaneous bifurcation
• Geometric theory of semilinear parabolic equations
• On computation of solutions of fully nonlinear elliptic problems
• Large sparse continuation problems
• On computation of solutions of elliptic systems
• Positive Solutions of Negative Exponent Generalized Emden–Fowler Boundary Value Problems

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