The geometric stricture of the parameter space of the three-stage symplectic Runge-Kutta methods

被引：0

作者：

Elenin G.G. ^{[1
]}

Shlyakhov P.I. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Mathematical Models and Computer Simulations | 2011年 / 3卷 / 6期

基金：

俄罗斯基础研究基金会;

关键词：

order of approximation; structure of the parameter space; symplectic Runge-Kutta methods;

D O I：

10.1134/S2070048211060020

中图分类号：

学科分类号：

摘要：

The geometric structure of the parameter space of the three-stage symplectic Runge-Kutta methods is established. The elements of the structure are geometric places of points corresponding to the methods of different orders of approximation. © 2011, Pleiades Publishing, Ltd.

引用

页码：680 / 689

页数：9

共 50 条

[1] On the conservativeness of a two-parameter family of three-stage symmetric-symplectic Runge-Kutta methods
Elenin, G. G.
Aleksandrov, P. A.
DIFFERENTIAL EQUATIONS, 2012, 48 (07) : 965 - 974
[2] On the conservativeness of a two-parameter family of three-stage symmetric-symplectic Runge-Kutta methods
G. G. Elenin
P. A. Aleksandrov
Differential Equations, 2012, 48 : 965 - 974
[3] Three-Stage Two-Parameter Symplectic, Symmetric Exponentially-Fitted Runge-Kutta Methods of Gauss Type
Van Daele, M.
Hollevoet, D.
Berghe, G. Vanden
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 251 - 254
[4] Symplectic Partitioned Runge-Kutta And Symplectic Runge-Kutta Methods Generated By 2-Stage RadauIA Method
Tan, Jiabo
ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, PTS 1 AND 2, 2014, 444-445 : 633 - 636
[5] Symplectic Partitioned Runge-Kutta And Symplectic Runge-Kutta Methods Generated By 2-Stage LobattoIIIA Method
Tan, Jiabo
INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014), 2014, : 1069 - 1073
[6] Three-stage Stochastic Runge-Kutta methods for stochastic differential equations
Wang, Peng
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) : 324 - 332
[7] Efficient symplectic Runge-Kutta methods
Chan, RPK
Liu, HY
Sun, G
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (02) : 908 - 924
[8] SYMPLECTIC PARTITIONED RUNGE-KUTTA METHODS
SUN, G
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 11 (04): : 365 - 372
[9] A FAMILY OF THREE-STAGE STOCHASTIC RUNGE-KUTTA METHODS WITH ORDER TWO AND THEIR STABILITY
Parsamanesh, Mahmood
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (01): : 183 - 196
[10] A family of three-stage stochastic runge-kutta methods with order two and their stability
Parsamanesh, Mahmood
Parsamanesh, Mahmood (m.parsamanesh@uoz.ac.ir), 1600, Politechnica University of Bucharest (82): : 183 - 196

← 1 2 3 4 5 →