CANONICAL RUNGE-KUTTA-NYSTROM (RKN) METHODS FOR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS

被引：20

作者：

QIN, MZ

ZHU, WJ

机构：

[1] Computing Center, Academia Sinica, Beijing

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1991年 / 22卷 / 09期

关键词：

D O I：

10.1016/0898-1221(91)90209-M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we combine the order conditions with the canonical conditions to get the "canonical order conditions" for RKN methods, and then we use these conditions to get two three-stage canonical RKN methods of order 4.

引用

页码：85 / 95

页数：11

共 50 条

[21] ADDITIVE RUNGE-KUTTA METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS
COOPER, GJ
SAYFY, A
MATHEMATICS OF COMPUTATION, 1983, 40 (161) : 207 - 218
[22] High-order Runge-Kutta-Nystrom geometric methods with processing
Blanes, S
Casas, F
Ros, J
APPLIED NUMERICAL MATHEMATICS, 2001, 39 (3-4) : 245 - 259
[23] STABILITY OF RUNGE-KUTTA METHODS FOR STIFF ORDINARY DIFFERENTIAL-EQUATIONS
ALEXANDER, RK
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (04) : 1147 - 1168
[24] ON A CANONICAL STANDARD FORM OF 2ND-ORDER LINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH A SMALL PARAMETER
YOSHIKAWA, A
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1987, 63 (04) : 98 - 101
[25] On using explicit Runge-Kutta-Nystrom methods for the treatment of retarded differential equations with periodic solutions
Papageorgiou, G
Famelis, IT
APPLIED MATHEMATICS AND COMPUTATION, 1999, 102 (01) : 63 - 76
[26] Trigonometrically fitted two-derivative Runge-Kutta-Nystrom methods for second-order oscillatory differential equations
Chen, Zhaoxia
Shi, Lei
Liu, Siyao
You, Xiong
APPLIED NUMERICAL MATHEMATICS, 2019, 142 : 171 - 189
[27] BOUNDEDNESS OF SOLUTIONS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS AND 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH DELAY
TANG, MZ
HUANG, SR
CHINESE SCIENCE BULLETIN, 1989, 34 (02): : 171 - 172
[28] Third-Order Explicit Two-Step Runge-Kutta-Nystrom Method for Solving Second-Order Ordinary Differential Equations
Ariffin, Latifah Md
Senu, Norazak
Suleiman, Mohamed
INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013), 2013, 1557 : 326 - 329
[29] RATIONAL RUNGE-KUTTA METHODS FOR SOLVING SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
WAMBECQ, A
COMPUTING, 1978, 20 (04) : 333 - 342
[30] THE EQUIVALENCE PROBLEM FOR SYSTEMS OF 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS
FELS, ME
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1995, 71 : 221 - 240

← 1 2 3 4 5 →