Monotone iterative methods for nonlinear equations involving a noninvertible linear part

DOI10.1007/BF01389467zbMath0551.65032MaRDI QIDQ800692

Rangachary Kannan, Michael B. Ray

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/132964

zbMATH Keywords

monotone convergencechord methodmildly nonlinearsingular irreducible M-matrixdiagonal nonlinear mapping

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (10)

Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems ⋮ Method of mixed monotony for nonlinear equations with a singular linear part ⋮ Iterative methods for a class of complementarity problems ⋮ Monotone iterative methods for the adaptive finite element solution of semiconductor equations ⋮ A higher-order compact ADI method with monotone iterative procedure for systems of reaction-diffusion equations ⋮ A block monotone iterative method for numerical solutions of nonlinear elliptic boundary value problems ⋮ A modified accelerated monotone iterative method for finite difference reaction-diffusion-convection equations ⋮ Higher-order monotone iterative methods for finite difference systems of nonlinear reaction-diffusion-convection equations ⋮ Higher-order compact finite difference method for systems of reaction-diffusion equations ⋮ Nonstationary monotone iterative methods for nonlinear partial differential equations

Cites Work

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• A numerical method for the nonlinear Neumann problem
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• Some generalizations of positive definiteness and monotonicity
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Alternating direction iteration for mildly nonlinear elliptic difference equations
• Solutions of nonlinear hyperbolic equations at resonance
• An Abstract Existence Theorem at Resonance
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods

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