STABILITY AND B-CONVERGENCE OF LINEARLY IMPLICIT RUNGE-KUTTA METHODS

被引：11

作者：

HUNDSDORFER, WH

机构：

来源：

NUMERISCHE MATHEMATIK | 1986年 / 50卷 / 01期

关键词：

D O I：

10.1007/BF01389669

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：83 / 95

页数：13

共 14 条

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[2]

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DEKKER, K ;

KRAAIJEVANGER, JFBM ;

SPIJKER, MN .

COMPUTING, 1986, 36 (1-2) :35-41

[4]

DEKKER K., 1984, STABILITY RUNGE KUTT

[5] STABILITY PROPERTIES OF IMPLICIT RUNGE-KUTTA METHODS [J].

FRANK, R ;

SCHNEID, J ;

UEBERHUBER, CW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (03) :497-514

[6] 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

[7] 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

[8]

HUNDSDORFER WH, 1985, CWITRACT12

[9] GENERALIZED RUNGE-KUTTA METHODS OF ORDER 4 WITH STEPSIZE CONTROL FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS [J].

KAPS, P ;

RENTROP, P .

NUMERISCHE MATHEMATIK, 1979, 33 (01) :55-68

[10] B-CONVERGENCE OF THE IMPLICIT MIDPOINT RULE AND THE TRAPEZOIDAL RULE [J].

KRAAIJEVANGER, JFBM .

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