Fast convergence pirkn-type pc methods with adams-type predictors∗

DOI10.1080/00207160108805073zbMath0984.65072OpenAlexW2000191476MaRDI QIDQ2752279

N. T. H. Minh, Nguyen Huu Cong

Publication date: 12 May 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805073

zbMATH Keywords

convergencesystemsnumerical examplesparallel computationRunge-Kutta-Nyström methodscollocationpredictor-corrector methodsstability parallelism

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

Continuous parallel-iterated RKN-type PC methods for nonstiff IVPs ⋮ Twostep-by-twostep continuous PIRKN-type PC methods for nonstiff IVPs ⋮ Two-step-by-two-step PIRKN-type PC methods based on Gauss-Legendre collocation points for nonstiff IVPs ⋮ Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of collocation-based Runge-Kutta-Nyström methods
• New Runge-Kutta-Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form \(y=f(x,y)\)
• Parallel defect control
• Méthodes de Nystrom pour l'équation différentielle y=f(x,y)
• Unconditionally stable methods for second order differential equations
• Runge-Kutta-Nyström-type parallel block predictor-corrector methods
• Explicit, high-order Runge-Kutta-Nyström methods for parallel computers
• 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
• Note on the performance of direct and indirect Runge-Kutta-Nyström methods
• Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
• 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)
• Comparing Numerical Methods for Ordinary Differential Equations

This page was built for publication: Fast convergence pirkn-type pc methods with adams-type predictors^∗