ROBUST DEFECT CONTROL WITH RUNGE-KUTTA SCHEMES

被引：25

作者：

HIGHAM, DJ ^{[1
]}

机构：

[1] UNIV MANCHESTER,DEPT MATH,MANCHESTER M13 9PL,LANCS,ENGLAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1989年 / 26卷 / 05期

关键词：

D O I：

10.1137/0726065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：1175 / 1183

页数：9

共 12 条

[1] RUNGE-KUTTA TRIPLES [J].

DORMAND, JR ;

PRINCE, PJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (09) :1007-1017

[2] 2 FORTRAN PACKAGES FOR ASSESSING INITIAL-VALUE METHODS [J].

ENRIGHT, WH ;

PRYCE, JD .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1987, 13 (01) :1-27

[3] INTERPOLANTS FOR RUNGE-KUTTA FORMULAS [J].

ENRIGHT, WH ;

JACKSON, KR ;

NORSETT, SP ;

THOMSEN, PG .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1986, 12 (03) :193-218

[4]

ENRIGHT WH, 1987, 20587 U TOR DEP COMP

[5]

ENRIGHT WH, 1986, 122 U MANCH NUM AN R

[6] PRACTICAL ASPECTS OF INTERPOLATION IN RUNGE-KUTTA CODES [J].

GLADWELL, I ;

SHAMPINE, LF ;

BACA, LS ;

BRANKIN, RW .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (03) :322-341

[7]

HAIRER E, 1987, SOLVING ORDINARY DIF, V1

[8] 4TH-ORDER AND 5TH-ORDER, SCALED RUNGE-KUTTA ALGORITHMS FOR TREATING DENSE OUTPUT [J].

HORN, MK .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (03) :558-568

[9]

Shampine L., 1979, APPL MATH COMPUT, V5, P93

[10] INTERPOLATION FOR RUNGE-KUTTA METHODS [J].

SHAMPINE, LF .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (05) :1014-1027

← 1 2 →