CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS-中国期刊网

摘要 ImplicitRunge-Kuttamethodishighlyaccurateandstableforstiffinitialvalueproblem.ButtheiterationtechniqueusedtosolveimplicitRunge-Kuttamethodrequireslotsofcomputationalefforts.Inthispaper,weextendtheParallelDiagonalIteratedRungeKutta(PDIRK)methodstodelaydifferentialequations(DDEs).WegivetheconvergenceregionofPDIRKmethods,andanalyzethespeedofconvergenceinthreepartsfortheP-stabilityregionoftheRunge-Kuttacorrectormethod.Finally,weanalysisthespeed-upfactorthroughanumericalexperiment.TheresultsshowthatthePDIRKmethodstoDDEsareefficient.

1Zhang, Cheng-jian. NONLINEAR STABILITY OF NATURAL RUNGE-KUTTA METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS.计算数学,2002-06.
2Jing-junZhao Wan-rongCao Ming-zhuLiu. ASYMPTOTIC STABILITY OF RUNGE-KUTTA METHODS FOR THE PANTOGRAPH EQUATIONS.计算数学,2004-04.
3Xin 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.
4赵双锁;王昌银. A PARALLEL COMPUTATION SCHEME FOR IMPLICIT RUNGE-KUTTA METHODS AND THE ITERATIVELY B-CONVERGENCE OF ITS NEWTON ITERATIVE PROCESS.基础数学,1994-01.
5Li, SF. ORDER PROPERTIES AND CONSTRUCTION OF SYMPLECTIC RUNGE-KUTTA METHODS.计算数学,2000-06.
6Xiao, AG. ORDER RESULTS FOR ALGEBRAICALLY STABLE MONO-IMPLICIT RUNGE-KUTTA METHODS.计算数学,1999-06.
7Cheng-ming Huang;Shou-fu Li;Hong-yuan Fu;Guang-nan Chen. D-CONVERGENCE OF ONE-LEG METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS.计算数学,2001-06.
8梁久祯;邱深山;刘明珠. THE STABILITY OF θ-METHODS FOR PANTOGRAPH DELAY DIFFERENTIAL EQUATIONS.基础数学,1996-01.
9LONGYongxing MOUZongze DONGJiaqi ZHAOHuaiguo. Semi-implicit Runge.Kutta Method for Solving Stiff Ordinary Differential Equations.物理,2003-01.
10田红炯;匡蛟勋. THE STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS.基础数学,1995-01.

CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS

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CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS

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