Explicit multi-step peer methods for special second-order differential equations

DOI10.1016/j.amc.2008.03.025zbMath1156.65071OpenAlexW2005331155MaRDI QIDQ942411

Bernhard A. Schmitt, Stefan Jebens, Helmut Podhaisky, Rüdiger Weiner

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.025

zbMATH Keywords

numerical resultsparallel computationRunge-Kutta-Nyström methodsnon-stiff problemsexplicit peer methodsexplicit multi-step 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 (2)

Two-step peer methods with equation-dependent coefficients ⋮ Explicit multi-step peer methods for special second-order differential equations

Uses Software

• Matlab
• Algorithm 670

Cites Work

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• Explicit multi-step peer methods for special second-order differential equations
• Parameter optimization for explicit parallel peer two-step methods
• A reliable Rosenbrock integrator for stiff differential equations
• Superconvergent explicit two-step peer methods
• Explicit two-step peer methods
• Families of Runge-Kutta-Nystrom Formulae
• Solving Ordinary Differential Equations I
• Algorithm 670: a Runge-Kutta-Nyström code
• ODE solvers and the method of lines
• Comparisons of integrators on a diverse collection of restricted three-body test problems
• Solving confluent Vandermonde systems of Hermite type

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