ORDER RESULTS FOR IMPLICIT RUNGE-KUTTA METHODS APPLIED TO DIFFERENTIAL ALGEBRAIC SYSTEMS

被引：63

作者：

PETZOLD, LR ^{[1
]}

机构：

[1] SANDIA NATL LABS,DIV APPL MATH,LIVERMORE,CA 94550

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1986年 / 23卷 / 04期

关键词：

D O I：

10.1137/0723054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：837 / 852

页数：16

共 50 条

[31] On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
M. Calvo
S. González-Pinto
J.I. Montijano
Numerical Algorithms, 2000, 23 : 97 - 113
[32] IMPLICIT RUNGE-KUTTA METHODS FOR SOME INTEGRODIFFERENTIAL-ALGEBRAIC EQUATIONS
KAUTHEN, JP
APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 125 - 134
[33] On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
Calvo, M
González-Pinto, S
Montijano, JI
NUMERICAL ALGORITHMS, 2000, 23 (01) : 97 - 113
[34] The effective order of singly-implicit Runge-Kutta methods
J.C. Butcher
P. Chartier
Numerical Algorithms, 1999, 20 : 269 - 284
[35] A NEW CLASS OF RESULTS FOR THE ALGEBRAIC EQUATIONS OF IMPLICIT RUNGE-KUTTA PROCESSES
SANZSERNA, JM
GRIFFITHS, DF
IMA JOURNAL OF NUMERICAL ANALYSIS, 1991, 11 (04) : 449 - 455
[36] PRECONDITIONING OF IMPLICIT RUNGE-KUTTA METHODS
Jay, Laurent O.
SCALABLE COMPUTING-PRACTICE AND EXPERIENCE, 2009, 10 (04): : 363 - 372
[37] ON PROJECTED RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS
LUBICH, C
BIT, 1991, 31 (03): : 545 - 550
[38] Implementation of high-order implicit Runge-Kutta methods
González-Pinto, S
Pérez-Rodríguez, S
Montijano, JI
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) : 1009 - 1024
[39] Solution of index 2 implicit differential-algebraic equations by Lobatto Runge-Kutta methods
Jay, LO
BIT, 2003, 43 (01): : 93 - 106
[40] Implicit stochastic Runge-Kutta methods for stochastic differential equations
Burrage, K
Tian, T
BIT NUMERICAL MATHEMATICS, 2004, 44 (01) : 21 - 39

← 1 2 3 4 5 →