On computation of solution curves for semilinear elliptic problems

DOI10.1080/01630569508816614zbMath0829.65103OpenAlexW1963841184MaRDI QIDQ4844889

Philip Korman, Tiancheng Ouyang

Publication date: 22 January 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816614

zbMATH Keywords

stabilityDirichlet problemnumerical examplesfinite differencesmonotone convergencesemilinear two-point boundary value problemsGauss-Seidel type iterative scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) 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

• Finite difference approximations to the Dirichlet problem for elliptic systems
• On computation of solutions of fully nonlinear elliptic problems
• On computation of solutions of elliptic systems
• Approximating optimal controls for elliptic obstacle problem by monotone iteration schemes
• A mountain pass method for the numerical solution of semilinear elliptic problems

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