Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs
DOI10.1016/S0898-1221(02)00136-0zbMath0999.65067OpenAlexW2074146383MaRDI QIDQ1609168
N. T. H. Minh, Nguyen Huu Cong
Publication date: 15 August 2002
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00136-0
numerical experimentsparallel computationnonstiff initial-value problemsPC methodspseudo two-step Runge-Kutta-Nyström methods
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 (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of collocation-based Runge-Kutta-Nyström methods
- Ein Runge-Kutta-Nyström-Formelpaar der Ordnung 11(12) für Differentialgleichungen der Form \(y=f(x,y)\)
- New Runge-Kutta-Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form \(y=f(x,y)\)
- Low order practical Runge-Kutta-Nyström methods
- Méthodes de Nystrom pour l'équation différentielle y=f(x,y)
- Runge-Kutta-Nyström-type parallel block predictor-corrector methods
- Explicit, high-order Runge-Kutta-Nyström methods for parallel computers
- An improvement for parallel-iterated Runge-Kutta-Nyström methods
- RKN-type parallel block PC methods with Lagrange-type predictors
- Explicit parallel two-step Runge-Kutta-Nyström methods
- Explicit symmetric Runge-Kutta-Nyström methods for parallel computers
- A general class of explicit pseudo--two-step RKN methods on parallel computers
- Half-implicit pseudo two-step RKN methods
- Note on the performance of direct and indirect Runge-Kutta-Nyström methods
- Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
- Direct collocation-based two-step Runge-Kutta-Nyström methods
- Fast convergence pirkn-type pc methods with adams-type predictors∗
- Solving Ordinary Differential Equations I
- Ein Runge-Kutta-Nyström-Formelpaar der Ordnung 10(11) für Differentialgleichungen der Formy′ =f(x, y)
- A One-step Method of Order 10 for y″ = f(x, y)
- Eine Runge-Kutta-Nyström-Formel 9-ter Ordnung mit Schrittweitenkontrolle für Differentialgleichungenx =f(t, x)
- Parallel block pc methods with rkn-type correctors and adams-type predictors∗
- Comparing Numerical Methods for Ordinary Differential Equations
- Explicit pseudo two-step RKN methods with stepsize control
This page was built for publication: Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs