ON THE ALGEBRAIC EQUATIONS IN IMPLICIT RUNGE-KUTTA METHODS

被引：18

作者：

HUNDSDORFER, WH ^{[1
]}

SPIJKER, MN ^{[1
]}

机构：

[1] UNIV LEIDEN,INST APPL MATH & COMP SCI,LEIDEN,NETHERLANDS

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1987年 / 24卷 / 03期

关键词：

D O I：

10.1137/0724040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：583 / 594

页数：12

共 50 条

[1] IMPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL ALGEBRAIC EQUATIONS
ROCHE, M
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (04) : 963 - 975
[2] ON THE EXISTENCE OF SOLUTIONS TO THE ALGEBRAIC EQUATIONS IN IMPLICIT RUNGE-KUTTA METHODS
CROUZEIX, M
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[J]. BIT, 1983, 23 (01): : 84 - 91
[3] PROJECTED IMPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS
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[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (04) : 1097 - 1120
[4] Iterated Runge-Kutta methods of implicit differential-algebraic equations
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[5] On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
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[J]. Numerical Algorithms, 2000, 23 : 97 - 113
[6] IMPLICIT RUNGE-KUTTA METHODS FOR SOME INTEGRODIFFERENTIAL-ALGEBRAIC EQUATIONS
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[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 125 - 134
[7] On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
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[J]. NUMERICAL ALGORITHMS, 2000, 23 (01) : 97 - 113
[8] LINEARLY-IMPLICIT RUNGE-KUTTA METHODS BASED ON IMPLICIT RUNGE-KUTTA METHODS
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[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 33 - 40
[9] ALGEBRAIC STABILITY AND THE EXISTENCE OF SOLUTIONS OF IMPLICIT RUNGE-KUTTA EQUATIONS
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[J]. BIT, 1985, 25 (02): : 386 - 390
[10] Diagonally implicit Runge-Kutta methods for differential algebraic equations of indices two and three
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