High order A-stable numerical methods for stiff problems

DOI10.1007/BF02728982zbMath1203.65106OpenAlexW4233807896MaRDI QIDQ617061

John C. Butcher

Publication date: 20 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02728982

zbMATH Keywords

stiff differential equationsgeneral linear methodsA-stable methodsinherent RK stability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (8)

On some multi-block reverse Adams methods for stiff problems ⋮ Generalized second derivative linear multistep methods based on the methods of Enright ⋮ Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology ⋮ Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs ⋮ Unnamed Item ⋮ Strongly regular general linear methods ⋮ General linear methods for ordinary differential equations ⋮ Unnamed Item

Uses Software

• RODAS

Cites Work

• The construction of practical general linear methods
• Non-linear stability of a general class of differential equation methods
• On the Convergence of Numerical Solutions to Ordinary Differential Equations
• Integration of Stiff Equations
• General linear methods for stiff differential equations
• Unnamed Item

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