Twostep-by-twostep PIRK-type PC methods with continuous output formulas
type: Item
instance of: scholarly article
title: Twostep-by-twostep PIRK-type PC methods with continuous output formulas
zbMATH Open document ID: 1156.65070
author: Nguyen Huu Cong
author: Le Ngoc Xuan
published in: Journal of Computational and Applied Mathematics
publication date: 2008-10-22T00:00:00Z
review text: Runge-Kutta (RK) methods are often used for solving non-stiff initial-value problems (IVPs) for systems of first-order ordinary differential equations. With the goal to provide potential for parallel processing, this paper investigates a particular class of parallel iterated RK-type (PIRK-type) predictor-corrector (PC) methods based on continuous collocation RK corrector methods. At the \(n\)th step, the continuous output formulas are used for predicting the stage values for the PC iteration and for calculation the step value at the \((n+2)\)th step, yielding a two-step by two-step integration process. A comparison with PIRK and PIRKC methods shows the efficiency of the new methods.
reviewed by: Thomas Rauber
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 5355640
zbMATH Keywords: initial value problem
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: predictor-corrector methods
zbMATH Keywords: stability
zbMATH Keywords: collocation
zbMATH Keywords: parallal computation
MaRDI profile type: Publication
full work available at URL: j.cam.2007.10.003
OpenAlex ID: W2049804259
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DOI: 10.1016/J.CAM.2007.10.003
description: scientific article; zbMATH DE number 5355640