Contractivity of locally one-dimensional splitting methods

DOI10.1007/BF01410109zbMath0539.65082MaRDI QIDQ794146

Jan G. Verwer

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/132933

zbMATH Keywords

stiff systemssplitting methodscontractivity properties

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items (6)

Time integration of three-dimensional numerical transport models ⋮ Stability and Convergence of the Peaceman-Rachford ADI Method for Initial-Boundary Value Problems ⋮ Application of locally one-dimensional semi-implicit scheme in phase-field equations ⋮ Partitioned exponential methods for coupled multiphysics systems ⋮ Contractivity of domain decomposition splitting methods for nonlinear parabolic problems ⋮ Convergence of method of lines approximations to partial differential equations

Cites Work

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• Sur la B-stabilité des méthodes de Runge-Kutta
• On the practical value of the notion of BN-stability
• Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory
• On Logarithmic Norms
• Stability Criteria for Implicit Runge–Kutta Methods
• An Alternating Direction Method for Operator Equations
• Numerical Integration of Systems of Stiff Nonlinear Differential Equations

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