The vector form of a sixth-order A-stable explicit one-step method for stiff problems

被引:18
作者
Wu, XY [1 ]
Xia, JL [1 ]
机构
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
关键词
stiff system; numerical analysis; numerical stability; numerical solution of ordinary differential equations;
D O I
10.1016/S0898-1221(99)00349-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A sixth-order A-stable explicit one-step method for stiff ordinary differential equations is extended directly to solve systems of equations. Some defects of the component form of this method are avoided. To perform these, a new set of vector computations are introduced. Some numerical experiments are presented to show its superiority. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:247 / 257
页数:11
相关论文
共 12 条
[1]  
[Anonymous], COMPUTATIONAL METHOD
[2]  
BRAUN M, 1983, DIFF EQUAT, P275
[3]  
Fedorenko R.P., 1994, NUMERICAL METHODS AP, P117
[4]  
Gear C. W., 1971, NUMERICAL INITIAL VA
[5]  
HAIRER E, 1980, NUMER MATH, V35, P57, DOI 10.1007/BF01396370
[6]  
ISERLES A, 1996, 1 COURS NUM AN DIFF, P3
[7]  
JAIN MK, 1984, NUMERICAL SOLUTION D, P67
[8]  
Lambert J. D., 1974, Conference on the Numerical Solution of Differential Equations, P75
[9]  
PERKO L, 1991, APPL MATH, V7, P1
[10]   RATIONAL RUNGE-KUTTA METHODS FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS [J].
WAMBECQ, A .
COMPUTING, 1978, 20 (04) :333-342