A PARALLEL COMPUTATION SCHEME FOR IMPLICIT RUNGE-KUTTA METHODS AND THE ITERATIVELY B-CONVERGENCE OF ITS NEWTON ITERATIVE PROCESS-中国期刊网

摘要 Inthispaper,basedontheimplicitRunge-Kutta(IRK)methods,wederiveaclassofparallelschemethatcanbeimplementedontheparallelcomputerswithNs(Nisapositiveevennumber)processorsefficiently,anddiscusstheiterativelyB-convergenceoftheNewtoniterativeprocessforsolvingthealgebraicequationsofthescheme,secondlywepresentastrategyprovidinginitialvaluesparallellyfortheiterativeprocess.Finally,somenumericalresultsshowthatourparallelschemeishigherefficientasNisnotsolarge.

1Xiao-huaDing MingzhuLiu. CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS.计算数学,2004-03.
2Xiao, AG. ORDER RESULTS FOR ALGEBRAICALLY STABLE MONO-IMPLICIT RUNGE-KUTTA METHODS.计算数学,1999-06.
3Jing-junZhao Wan-rongCao Ming-zhuLiu. ASYMPTOTIC STABILITY OF RUNGE-KUTTA METHODS FOR THE PANTOGRAPH EQUATIONS.计算数学,2004-04.
4Li, SF. ORDER PROPERTIES AND CONSTRUCTION OF SYMPLECTIC RUNGE-KUTTA METHODS.计算数学,2000-06.
5Zhang, Cheng-jian. NONLINEAR STABILITY OF NATURAL RUNGE-KUTTA METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS.计算数学,2002-06.
6黄乘明. B-CONVERGENCE PROPERTIES OF GENERAL LINEAR METHODS.基础数学,1996-01.
7Xin Leng;De-gui Liu;Xiao-qiu Song;Li-rong Chen. A CLASS OF TWO-STEP CONTINUITY RUNGE-KUTTA METHODS FOR SOLVING SINGULAR DELAY DIFFERENTIAL EQUATIONS AND ITS STABILITY ANALYSIS.计算数学,2005-06.
8李阳;董再胜;孙丽荣. 基于Runge-Kutta法的PAW小孔形状计算.动力机械及工程,2010-05.
9Xueping Guo. ON SEMILOCAL CONVERGENCE OF INEXACT NEWTON METHODS.计算数学,2007-02.
10胡蓉;盛松柏. CONVERGENCE OF INEXACT CONIC NEWTON METHODS.基础数学,1998-02.

A PARALLEL COMPUTATION SCHEME FOR IMPLICIT RUNGE-KUTTA METHODS AND THE ITERATIVELY B-CONVERGENCE OF ITS NEWTON ITERATIVE PROCESS

来源期刊

相关推荐

同分类资源更多

相关关键词

A PARALLEL COMPUTATION SCHEME FOR IMPLICIT RUNGE-KUTTA METHODS AND THE ITERATIVELY B-CONVERGENCE OF ITS NEWTON ITERATIVE PROCESS

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多