Parallel general linear methods for stiff ordinary differential and differential algebraic equations

DOI10.1016/0168-9274(95)00029-TzbMath0833.65073MaRDI QIDQ1899304

John C. Butcher, Philippe Chartier

Publication date: 9 October 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stiff systemsdifferential algebraic equationscomparisons\(L\)-stabilityparallel linear methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

Parallel general linear methods for stiff ordinary differential and differential algebraic equations ⋮ Convergence results for implicit-explicit general linear methods ⋮ General linear methods ⋮ Parallel implicit-explicit general linear methods ⋮ Implementation of Nordsieck second derivative methods for stiff ODEs

Cites Work

• Diagonally-implicit multi-stage integration methods
• Parallel iteration of high-order Runge-Kutta methods with stepsize control
• Parallel general linear methods for stiff ordinary differential and differential algebraic equations
• On the Theory of Parallel Runge—Kutta Methods
• L-Stable Parallel One-Block Methods for Ordinary Differential Equations
• Unnamed Item

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