A note on the approximation of mildly nonlinear Dirichlet problems by finite differences

DOI10.1007/BF01398646zbMath0402.65057OpenAlexW2062352633MaRDI QIDQ1255771

Rita Meyer-Spasche

Publication date: 1979

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132643

zbMATH Keywords

ApproximationFinite DifferencesDifference MethodsNonlinear Partial Differential EquationsMildly Nonlinear Dirichlet ProblemsSmoothness ConditionsSolutions of Difference Equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

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• Newton's method under mild differentiability conditions
• On the convergence of difference approximations to weak solutions of Dirichlet's problem
• Topics in stability and bifurcation theory
• Error Estimates for Difference Methods in Forced Vibration Problems
• Finite Difference Methods for Mildly Nonlinear Eigenvalue Problems
• Existence and Error Estimates for Solutions of a Discrete Analog of Nonlinear Eigenvalue Problems