Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs
type: Item
instance of: scholarly article
title: Parallel-iterated pseudo two-step Runge-Kutta-Nyström methods for nonstiff second-order IVPs
zbMATH Open document ID: 0999.65067
DOI: 10.1016/S0898-1221(02)00136-0
author: Nguyen Huu Cong
author: N. T. H. Minh
publication date: 2002-08-15T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1781558
zbMATH Keywords: parallel computation
zbMATH Keywords: PC methods
zbMATH Keywords: pseudo two-step Runge-Kutta-Nyström methods
zbMATH Keywords: nonstiff initial-value problems
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
cites work: Klassische Runge-Kutta-Nyström-Formeln mit SchrittweitenKontrolle für Differentialgleichungen \(\ddot x= f(t,x)\)
cites work: Eine Runge-Kutta-Nyström-Formel 9-ter Ordnung mit Schrittweitenkontrolle für Differentialgleichungenx =f(t, x)
cites work: Ein Runge-Kutta-Nyström-Formelpaar der Ordnung 10(11) für Differentialgleichungen der Formy′ =f(x, y)
cites work: Ein Runge-Kutta-Nyström-Formelpaar der Ordnung 11(12) für Differentialgleichungen der Form \(y''=f(x,y)\)
cites work: New Runge-Kutta-Nyström formula-pairs of order 8(7), 9(8), 10(9) and 11(10) for differential equations of the form \(y''=f(x,y)\)
cites work: Méthodes de Nystrom pour l'équation différentielle y''=f(x,y)
cites work: A One-step Method of Order 10 for y″ = f(x, y)
cites work: An improvement for parallel-iterated Runge-Kutta-Nyström methods
cites work: Note on the performance of direct and indirect Runge-Kutta-Nyström methods
cites work: Direct collocation-based two-step Runge-Kutta-Nyström methods
cites work: Explicit symmetric Runge-Kutta-Nyström methods for parallel computers
cites work: Explicit parallel two-step Runge-Kutta-Nyström methods
cites work: RKN-type parallel block PC methods with Lagrange-type predictors
cites work: Explicit pseudo two-step RKN methods with stepsize control
cites work: Parallel block pc methods with rkn-type correctors and adams-type predictors∗
cites work: Fast convergence pirkn-type pc methods with adams-type predictors∗
cites work: Runge-Kutta-Nyström-type parallel block predictor-corrector methods
cites work: A general class of explicit pseudo--two-step RKN methods on parallel computers
cites work: Explicit, high-order Runge-Kutta-Nyström methods for parallel computers
cites work: Half-implicit pseudo two-step RKN methods
cites work: Stability of collocation-based Runge-Kutta-Nyström methods
cites work: Solving Ordinary Differential Equations I
cites work: Q4725642
cites work: Q4846444
cites work: Q4117285
cites work: Comparing Numerical Methods for Ordinary Differential Equations
cites work: Low order practical Runge-Kutta-Nyström methods
full work available at URL: s0898-1221(02)00136-0
OpenAlex ID: W2074146383
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1781558