A numerical method for the nonlinear Neumann problem

DOI10.1016/0021-9991(83)90018-9zbMath0535.65078OpenAlexW1990261570MaRDI QIDQ791297

N. E. Zubov

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90018-9

zbMATH Keywords

Neumann problemmonotone convergencecapacitance matrix methodmethod of alternative problems

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)

Related Items (3)

Eigenfunction methods and nonlinear hyperbolic boundary value problems at resonance ⋮ Two approximate methods for solving nonlinear Neumann problems ⋮ Monotone iterative methods for nonlinear equations involving a noninvertible linear part

Uses Software

• CMMEXP
• FISHPAK
• BRENT

Cites Work

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• On a class of nonlinear boundary value problems
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
• Improving Convergence Rate in the Method of Successive Approximations
• Algorithm 593: A Package for the Helmholtz Equation in Nonrectangular Planar Regions
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• An Abstract Existence Theorem at Resonance
• Numerical Solution of Helmholtz's Equation by Implicit Capacitance Matrix Methods
• The Existence, Computation, and Number of Solutions of Periodic Parabolic Problems
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions

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