ON THE NUMERICAL-INTEGRATION OF NONLINEAR 2-POINT BOUNDARY-VALUE PROBLEMS USING ITERATED DEFERRED CORRECTIONS .2. THE DEVELOPMENT AND ANALYSIS OF HIGHLY STABLE DEFERRED CORRECTION FORMULAS

被引:46
作者
CASH, JR
机构
关键词
D O I
10.1137/0725049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:862 / 882
页数:21
相关论文
共 25 条
[1]   COLLOCATION FOR SINGULAR PERTURBATION PROBLEMS .1. 1ST-ORDER SYSTEMS WITH CONSTANT-COEFFICIENTS [J].
ASCHER, U ;
WEISS, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (03) :537-557
[2]   STABILITY OF COLLOCATION AT GAUSSIAN POINTS [J].
ASCHER, U ;
BADER, G .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (02) :412-422
[3]  
ASCHER U, 1981, ACM T MATH SOFTWARE, V7, P209, DOI 10.1145/355945.355950
[4]   COLLOCATION FOR SINGULAR PERTURBATION PROBLEMS .2. LINEAR 1ST ORDER SYSTEMS WITHOUT TURNING-POINTS [J].
ASCHER, U ;
WEISS, R .
MATHEMATICS OF COMPUTATION, 1984, 43 (167) :157-187
[5]   COLLOCATION FOR SINGULAR PERTURBATION PROBLEMS .3. NONLINEAR PROBLEMS WITHOUT TURNING-POINTS [J].
ASCHER, U ;
WEISS, R .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1984, 5 (04) :811-829
[7]   NUMERICAL-INTEGRATION OF NONLINEAR 2-POINT BOUNDARY-VALUE-PROBLEMS USING ITERATED DEFERRED CORRECTIONS .1. A SURVEY AND COMPARISON OF SOME ONE-STEP FORMULAS [J].
CASH, JR .
COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (10) :1029-1048
[8]  
CASH JR, 1982, BIT, V22, P184, DOI 10.1007/BF01944476
[9]   MONO-IMPLICIT RUNGE-KUTTA FORMULAS FOR THE NUMERICAL-INTEGRATION OF STIFF DIFFERENTIAL-SYSTEMS [J].
CASH, JR ;
SINGHAL, A .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1982, 2 (02) :211-227