Evolutionary Derivation of Quadratic Symplectic Runge-Kutta-Nystrom Methods

被引：0

作者：

Tsitouras, Ch. ^{[1
]}

机构：

[1] TEI Sterea Hellas, Dept Automat, GR-34400 Psahna, Greece

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Runge-Kutta-Nystrom; Quadratic ODEs; Symplectic methods; Differential Evolution;

D O I：

10.1063/1.4912957

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive Runge-Kutta-Nystrom (RKN) method of of fifth order for quadratic Hamiltonian systems at a cost of five stages. This was achieved using Evolutionary Optimization at the stage of solving the order conditions.

引用

页数：5

共 50 条

[31] A symplectic Runge-Kutta-Nystrom method with minimal phase-lag
Van de Vyver, H.
PHYSICS LETTERS A, 2007, 367 (1-2) : 16 - 24
[32] FURTHER REDUCTION IN THE NUMBER OF INDEPENDENT ORDER CONDITIONS FOR SYMPLECTIC, EXPLICIT PARTITIONED RUNGE-KUTTA AND RUNGE-KUTTA-NYSTROM METHODS
CALVO, MP
HAIRER, E
APPLIED NUMERICAL MATHEMATICS, 1995, 18 (1-3) : 107 - 114
[33] THE CHEBYSHEV METHODS OF PANOVSKY AND RICHARDSON AS RUNGE-KUTTA-NYSTROM METHODS
COLEMAN, JP
BOOTH, AS
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 61 (03) : 245 - 261
[34] Exponentially fitted explicit Runge-Kutta-Nystrom methods
Franco, JM
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 167 (01) : 1 - 19
[35] Starting algorithms for implicit Runge-Kutta-Nystrom methods
Laburta, MP
APPLIED NUMERICAL MATHEMATICS, 1998, 27 (03) : 233 - 251
[36] A family of explicit parallel Runge-Kutta-Nystrom methods
Franco, J. M.
Gomez, I.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) : 4177 - 4191
[37] LOW ORDER PRACTICAL RUNGE-KUTTA-NYSTROM METHODS
FINE, JM
COMPUTING, 1987, 38 (04) : 281 - 297
[38] Revised exponentially fitted Runge-Kutta-Nystrom methods
D'Ambrosio, R.
Paternoster, B.
Santomauro, G.
APPLIED MATHEMATICS LETTERS, 2014, 30 : 56 - 60
[39] Transient Stability Simulation by Explicit and Symplectic Runge-Kutta-Nystrom Method
Wang Fangzong
He Yifan
Ye Jing
MANUFACTURING SCIENCE AND TECHNOLOGY, PTS 1-8, 2012, 383-390 : 1960 - 1964
[40] High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
Tang, Wensheng
Sun, Yajuan
Zhang, Jingjing
APPLIED MATHEMATICS AND COMPUTATION, 2019, 361 : 670 - 679

← 1 2 3 4 5 →