Parallel start for explicit parallel two-step peer methods

DOI10.1007/s11075-009-9267-2zbMath1184.65070OpenAlexW2079812653MaRDI QIDQ849271

Rüdiger Weiner, Bernhard A. Schmitt

Publication date: 25 February 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9267-2

zbMATH Keywords

numerical examplesparallel computationinitial value problemsstepsize controlexplicit peer methodsnonstiff ODE systemsparallel startself-contained starting procedure

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Two-step peer methods with equation-dependent coefficients ⋮ Two-step peer methods with continuous output ⋮ Exponentially fitted two-step peer methods for oscillatory problems ⋮ On the implementation of explicit two-step peer methods with Runge-Kutta stability ⋮ Adapted explicit two-step peer methods

Cites Work

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• Parameter optimization for explicit parallel peer two-step methods
• Rosenbrock-type `peer' two-step methods
• Explicit general linear methods with inherent Runge--Kutta stability
• Superconvergent explicit two-step peer methods
• Explicit two-step peer methods
• Improved starting methods for two-step Runge-Kutta methods of stage-order \(p\)-3
• Multi-implicit peer two-step W-methods for parallel time integration
• Solving Ordinary Differential Equations I
• Parallel Two-Step W-Methods with Peer Variables
• A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations

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