A STUDY OF B-CONVERGENCE OF RUNGE-KUTTA METHODS

被引:55
作者
BURRAGE, K [1 ]
HUNDSDORFER, WH [1 ]
VERWER, JG [1 ]
机构
[1] CTR MATH & COMP SCI,1098 SJ AMSTERDAM,NETHERLANDS
关键词
D O I
10.1007/BF02238189
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
引用
收藏
页码:17 / 34
页数:18
相关论文
共 19 条
[1]  
Burrage K., 1978, BIT (Nordisk Tidskrift for Informationsbehandling), V18, P22, DOI 10.1007/BF01947741
[2]  
BURRAGE K, 1978, THESIS U AUCKLAND
[3]  
Butcher J. C., 1977, BIT (Nordisk Tidskrift for Informationsbehandling), V17, P375, DOI 10.1007/BF01933446
[4]  
CROUZEIX M, 1980, UNPUB LECTURE NOTES
[5]   THE ORDER OF B-CONVERGENCE OF THE GAUSSIAN RUNGE-KUTTA METHOD [J].
DEKKER, K ;
KRAAIJEVANGER, JFBM ;
SPIJKER, MN .
COMPUTING, 1986, 36 (1-2) :35-41
[6]  
DEKKER K., 1984, STABILITY RUNGE KUTT
[7]   STABILITY PROPERTIES OF IMPLICIT RUNGE-KUTTA METHODS [J].
FRANK, R ;
SCHNEID, J ;
UEBERHUBER, CW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (03) :497-514
[8]   ORDER RESULTS FOR IMPLICIT RUNGE-KUTTA METHODS APPLIED TO STIFF SYSTEMS [J].
FRANK, R ;
SCHNEID, J ;
UEBERHUBER, CW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (03) :515-534
[9]   THE CONCEPT OF B-CONVERGENCE [J].
FRANK, R ;
SCHNEID, J ;
UEBERHUBER, CW .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1981, 18 (05) :753-780
[10]   ON THE STABILITY OF SEMI-IMPLICIT METHODS FOR ORDINARY DIFFERENTIAL-EQUATIONS [J].
HAIRER, E ;
BADER, G ;
LUBICH, C .
BIT NUMERICAL MATHEMATICS, 1982, 22 (02) :211-232