A new class of energy-preserving numerical integration methods

被引:348
|
作者
Quispel, G. R. W. [1 ,2 ]
McLaren, D. I. [1 ]
机构
[1] La Trobe Univ, Dept Math, Bundoora, Vic 3086, Australia
[2] La Trobe Univ, Ctr Excellence Math & Stat Complex Syst, Bundoora, Vic 3086, Australia
关键词
D O I
10.1088/1751-8113/41/4/045206
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The first ever energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems. Related novel Lie algebraic results are also discussed.
引用
收藏
页数:7
相关论文
共 50 条
  • [21] Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System
    Yong Lei Fang
    Chang Ying Liu
    Bin Wang
    Acta Mathematica Sinica, English Series, 2018, 34 : 1863 - 1878
  • [22] Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System
    Fang, Yong Lei
    Liu, Chang Ying
    Wang, Bin
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (12) : 1863 - 1878
  • [23] A new family of fourth-order energy-preserving integrators
    Miyatake, Yuto
    NUMERICAL ALGORITHMS, 2024, 96 (03) : 1269 - 1293
  • [24] Energy-preserving methods for non-smooth nonlinear Schrodinger equations
    Bai, Jiejing
    Ullah, Hassan
    Li, Chun
    APPLIED NUMERICAL MATHEMATICS, 2023, 185 : 188 - 202
  • [25] Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System
    Yong Lei FANG
    Chang Ying LIU
    Bin WANG
    Acta Mathematica Sinica,English Series, 2018, (12) : 1863 - 1878
  • [26] Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System
    Yong Lei FANG
    Chang Ying LIU
    Bin WANG
    ActaMathematicaSinica, 2018, 34 (12) : 1863 - 1878
  • [27] A MODIFIED VERSION OF EXPLICIT RUNGE-KUTTA METHODS FOR ENERGY-PRESERVING
    Hu, Guang-Da
    KYBERNETIKA, 2014, 50 (05) : 838 - 847
  • [28] High-Order Energy-Preserving Methods for Stochastic Poisson Systems
    Li, Xiuyan
    Ma, Qiang
    Ding, Xiaohua
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 9 (03) : 465 - 484
  • [29] Energy-Preserving Methods and Torque Computation From Energy Balance in Electrical Machine Simulations
    Perkkio, Lauri
    Rasilo, Paavo
    Silwal, Bishal
    Hannukainen, Antti
    Arkkio, Antero
    Eirola, Timo
    IEEE TRANSACTIONS ON MAGNETICS, 2016, 52 (08)
  • [30] A CHARACTERIZATION OF ENERGY-PRESERVING METHODS AND THE CONSTRUCTION OF PARALLEL INTEGRATORS FOR HAMILTONIAN SYSTEMS
    Miyatake, Yuto
    Butcher, John C.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 54 (03) : 1993 - 2013