STEPSIZE RESTRICTIONS FOR STABILITY IN THE NUMERICAL-SOLUTION OF ORDINARY AND PARTIAL-DIFFERENTIAL EQUATIONS

被引:12
作者
KRAAIJEVANGER, JFBM [1 ]
LENFERINK, HWJ [1 ]
SPIJKER, MN [1 ]
机构
[1] STATE UNIV LEIDEN,DEPT MATH & COMP SCI,2312 AV LEIDEN,NETHERLANDS
关键词
D O I
10.1016/0377-0427(87)90126-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:67 / 81
页数:15
相关论文
共 33 条
[1]  
BOLLEY C, 1978, RAIRO-ANAL NUMER-NUM, V12, P237
[2]   RATIONAL APPROXIMATIONS OF SEMIGROUPS [J].
BRENNER, P ;
THOMEE, V .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (04) :683-694
[3]  
Crouzeix M., 1976, ETUDE NUMERIQUE GRAN
[4]  
Dahlquist G., 1978, BIT (Nordisk Tidskrift for Informationsbehandling), V18, P384, DOI 10.1007/BF01932018
[5]  
DEKKER K, 1984, STABILITY RUNGEKUTTA
[6]  
DILENA G, 1983, RENDICONTI MATEM, V3, P113
[7]  
Dunford N., 1958, LINEAR OPERATORS 1
[8]  
Duren P. L., 1983, GRADUATE TEXTS MATH
[9]   ANALYSIS OF ERROR GROWTH FOR EXPLICIT DIFFERENCE-SCHEMES IN CONDUCTION-CONVECTION PROBLEMS [J].
GRIFFITHS, DF ;
CHRISTIE, I ;
MITCHELL, AR .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1980, 15 (07) :1075-1081
[10]   HIGH-ACCURACY STABLE DIFFERENCE SCHEMES FOR WELL-POSED INITIAL-VALUE PROBLEMS [J].
HERSH, R ;
KATO, T .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (04) :670-682