Feasibility and contractivity in implicit Runge-Kutta methods

DOI10.1016/0377-0427(85)90049-4zbMath0571.65063OpenAlexW2094631116MaRDI QIDQ1061465

Marc N. Spijker

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0377-0427(85)90049-4

zbMATH Keywords

diffusion equationstiff problemsimplicit Runge-Kutta methodsfeasibilityB-stabilitycontractivityalgebraic stability

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)

Related Items (8)

The order of B-convergence of algebraically stable Runge-Kutta methods ⋮ The Modified Newton Method in the Solution of Stiff Ordinary Differential Equations ⋮ On the solvability of the systems of equations arising in implicit Runge- Kutta methods ⋮ Algebraic stability and error propagation in Runge-Kutta methods ⋮ Stability and B-convergence of general linear methods ⋮ On the relation between algebraic stability and B-convergence for Runge- Kutta methods ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations ⋮ Additive Runge-Kutta schemes for convection-diffusion-reaction equations

Cites Work

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• The equivalence of B-stability and A-stability
• Sur la B-stabilité des méthodes de Runge-Kutta
• A note on B-stability of Runge-Kutta methods
• On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• Degenerate diffusion and the Stefan problem
• Stability Properties of Implicit Runge–Kutta Methods
• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• On the Algebraic Equations in Implicit Runge–Kutta Methods
• A stability property of implicit Runge-Kutta methods
• Stability Criteria for Implicit Runge–Kutta Methods

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