Parallel interval Newton-like Schwarz methods for almost linear parabolic problems

DOI10.1016/j.cam.2005.07.042zbMath1110.65092OpenAlexW1998405574MaRDI QIDQ861926

Hartmut Schwandt

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.042

zbMATH Keywords

numerical resultsdomain decompositionparallel computationenclosure methodNewton-like methodsalmost linear parabolic problemsSchwarz alternating procedure

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) General methods in interval analysis (65G40) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• Inner/outer iterative methods and numerical Schwarz algorithms
• Convergence and comparison analysis of some numerical Schwarz methods
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
• The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods
• A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods

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