ON THE SOLVABILITY OF THE SYSTEMS OF EQUATIONS ARISING IN IMPLICIT RUNGE-KUTTA METHODS

被引：13

作者：

LIU, MZ ^{[1
]}

KRAAIJEVANGER, JFBM ^{[1
]}

机构：

[1] UNIV LEIDEN,INST APPL MATH & COMP SCI,2333 CA LEIDEN,NETHERLANDS

来源：

BIT | 1988年 / 28卷 / 04期

关键词：

D O I：

10.1007/BF01954903

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

引用

页码：825 / 838

页数：14

共 50 条

[1] ON THE ALGEBRAIC EQUATIONS IN IMPLICIT RUNGE-KUTTA METHODS
HUNDSDORFER, WH
SPIJKER, MN
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (03) : 583 - 594
[2] LINEARLY-IMPLICIT RUNGE-KUTTA METHODS BASED ON IMPLICIT RUNGE-KUTTA METHODS
BRUDER, J
[J]. APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 33 - 40
[3] ON THE UNIQUE SOLVABILITY OF THE RUNGE-KUTTA EQUATIONS
KRAAIJEVANGER, JFBM
SCHNEID, J
[J]. NUMERISCHE MATHEMATIK, 1991, 59 (02) : 129 - 157
[4] Solving the systems of equations arising in the discretization of some nonlinear PDE's by implicit Runge-Kutta methods
Akrivis, G
Dougalis, VA
Karakashian, O
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1997, 31 (02): : 251 - 287
[5] IMPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL ALGEBRAIC EQUATIONS
ROCHE, M
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1989, 26 (04) : 963 - 975
[6] ON THE EXISTENCE OF SOLUTIONS TO THE ALGEBRAIC EQUATIONS IN IMPLICIT RUNGE-KUTTA METHODS
CROUZEIX, M
HUNDSDORFER, WH
SPIJKER, MN
[J]. BIT, 1983, 23 (01): : 84 - 91
[7] On the existence of solution of stage equations in implicit Runge-Kutta methods
Calvo, M
Montijano, JI
Gonzalez-Pinto, S
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 111 (1-2) : 25 - 36
[8] Implicit stochastic Runge-Kutta methods for stochastic differential equations
Burrage, K
Tian, T
[J]. BIT NUMERICAL MATHEMATICS, 2004, 44 (01) : 21 - 39
[9] PRECONDITIONING OF IMPLICIT RUNGE-KUTTA METHODS
Jay, Laurent O.
[J]. SCALABLE COMPUTING-PRACTICE AND EXPERIENCE, 2009, 10 (04): : 363 - 372
[10] PROJECTED IMPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS
ASCHER, UM
PETZOLD, LR
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (04) : 1097 - 1120

← 1 2 3 4 5 →