Butcher-Kuntzmann methods for nonstiff problems on parallel computers

DOI10.1016/0168-9274(94)00032-8zbMath0812.65064OpenAlexW2043911271MaRDI QIDQ1339337

B. P. Sommeijer, P. J. van der Houwen

Publication date: 14 May 1995

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

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00032-8

zbMATH Keywords

parallel computationiterative schemeRunge-Kutta methodsnonstiff problemsButcher-Kuntzmann methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (4)

Preconditioning in parallel Runge-Kutta methods for stiff initial value problems ⋮ Butcher-Kuntzmann methods for nonstiff problems on parallel computers ⋮ Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems ⋮ Parallel iteration schemes for implicit ODEIVP methods

Cites Work

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• High order embedded Runge-Kutta formulae
• Butcher-Kuntzmann methods for nonstiff problems on parallel computers
• Parallel iteration of high-order Runge-Kutta methods with stepsize control
• Preconditioning in implicit initial-value problem methods on parallel computers
• The Faber Polynomials for Circular Sectors
• The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
• Implicit Runge-Kutta Processes

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