A family of explicit parallel Runge-Kutta-Nyström methods
DOI10.1016/j.amc.2011.09.049zbMath1319.65062OpenAlexW2165828695MaRDI QIDQ426957
Publication date: 13 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.049
numerical experimentsparallel computationnonstiff initial value problemsStörmer-Verlet methodparallel methodshigh-order explicit Runge-Kutta-Nyström methodvariable-step codes
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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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Cites Work
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- Runge-Kutta-Nyström-type parallel block predictor-corrector methods
- Explicit, high-order Runge-Kutta-Nyström methods for parallel computers
- A new optimized non-FSAL embedded Runge-Kutta-Nyström algorithm of orders 6 and 4 in six stages
- RKN-type parallel block PC methods with Lagrange-type predictors
- Order bound for a family of parallel Runge-Kutta-Nyström methods through computer algebra
- Explicit symmetric Runge-Kutta-Nyström methods for parallel computers
- A family of parallel Runge-Kutta pairs
- Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs
- Solving Ordinary Differential Equations I
- On the Theory of Parallel Runge—Kutta Methods
- High-Order Embedded Runge-Kutta-Nystrom Formulae
- The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
- Four-stage symplectic and P-stable SDIRKN methods with dispersion of high order