Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form

DOI10.1515/156939506779874590zbMath1125.65078OpenAlexW2052309925MaRDI QIDQ5756844

Igor P. Boglaev

Publication date: 5 September 2007

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939506779874590

zbMATH Keywords

domain decompositionnumerical experimentsSchwarz alternating methodparabolic problemmethod of upper and lower solutionsmonotone difference scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (6)

Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems ⋮ Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems ⋮ Monotone iterates for solving coupled systems of nonlinear parabolic equations ⋮ Monotone iterates for solving nonlinear integro-parabolic equations of Volterra type ⋮ Numerical solving nonlinear integro-parabolic equations by the monotone weighted average method ⋮ On modified accelerated monotone iterates for solving semilinear parabolic problems

Cites Work

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• Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem
• Monotone iterative methods for finite difference system of reaction- diffusion equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Finite difference reaction diffusion equations with nonlinear boundary conditions

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