Nonlinear contractivity of a class of semi-implicit multistep methods

DOI10.1007/BF02251239zbMath0514.65056OpenAlexW194307678MaRDI QIDQ1051406

Rüdiger Weiner, Karl Strehmel

Publication date: 1983

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02251239

zbMATH Keywords

stiff systemsnonlinear stabilitylinear multistep methodssemi-implicitnonlinear dissipative systemsnonlinear contractivity

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• A semi-implicit mid-point rule for stiff systems of ordinary differential equations
• Sur la B-stabilité des méthodes de Runge-Kutta
• On the practical value of the notion of BN-stability
• On the stability of semi-implicit methods for ordinary differential equations
• On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root
• Reducibility and contractivity of Runge-Kutta methods revisited
• Highest possible order of algebraically stable diagonally implicit runge-kutta methods
• A stability property of implicit Runge-Kutta methods
• Stability Criteria for Implicit Runge–Kutta Methods
• Contractive methods for stiff differential equations part I

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