A Class of Parallel Runge-Kutta Methods for Differential-Algebraic Systems of Index 2

被引：0

作者：

Fei Jinggao(Beijing Institute of Computer Application and Simulation Technology

机构：

来源：

JournalofSystemsEngineeringandElectronics | 1999年 / 03期

关键词：

Multiprocessor system; Parallel algorithm; Runges-Kutta method; Differential-algebraic system;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A class of parallel Runge-Kutta Methods for differential-algebraic equations of index 2are constructed for multiprocessor system. This paper gives the order conditions and investigatesthe convergence theory for such methods.

引用

页码：64 / 75

页数：12

共 50 条

[1] CONVERGENCE OF A CLASS OF RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-2
JAY, L
BIT, 1993, 33 (01): : 137 - 150
[2] RUNGE-KUTTA METHODS AND DIFFERENTIAL-ALGEBRAIC SYSTEMS
ALEXANDER, RK
COYLE, JJ
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (03) : 736 - 752
[3] Specialized Runge-Kutta methods for index 2 differential-algebraic equations
Jay, LO
MATHEMATICS OF COMPUTATION, 2006, 75 (254) : 641 - 654
[4] CONVERGENCE OF RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-3
JAY, L
APPLIED NUMERICAL MATHEMATICS, 1995, 17 (02) : 97 - 118
[5] A CLASS OF HALF-EXPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-3
OSTERMANN, A
APPLIED NUMERICAL MATHEMATICS, 1993, 13 (1-3) : 165 - 179
[6] ON SIMPLIFYING ASSUMPTIONS OF RUNGE-KUTTA METHODS FOR INDEX 2 DIFFERENTIAL-ALGEBRAIC PROBLEMS
HIGUERAS, I
COMPUTING, 1995, 54 (02) : 185 - 190
[7] HALF-EXPLICIT RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC SYSTEMS OF INDEX-2
BRASEY, V
HAIRER, E
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1993, 30 (02) : 538 - 552
[8] Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2
Murua, A
COMPUTING, 1997, 59 (01) : 43 - 61
[9] Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2
A. Murua
Computing, 1997, 59 : 43 - 61
[10] ON PROJECTED RUNGE-KUTTA METHODS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS
LUBICH, C
BIT, 1991, 31 (03): : 545 - 550

← 1 2 3 4 5 →