On energy conservation of the simplified Takahashi-Imada method
ESAIM: M2AN, 43 4 (2009) 631-644
Published online: 2009-07-08
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Energy behavior of Boris algorithm
Abdullah Zafar and Majid KhanChinese Physics B 30 (5) 055203 (2021)
DOI: 10.1088/1674-1056/abd161
See this article
Relaxation Runge–Kutta Methods for Hamiltonian Problems
Hendrik Ranocha and David I. KetchesonJournal of Scientific Computing 84 (1) (2020)
DOI: 10.1007/s10915-020-01277-y
See this article
Time-symmetric integration in astrophysics
David M Hernandez and Edmund BertschingerMonthly Notices of the Royal Astronomical Society 475 (4) 5570 (2018)
DOI: 10.1093/mnras/sty184
See this article
Energy behaviour of the Boris method for charged-particle dynamics
Ernst Hairer and Christian LubichBIT Numerical Mathematics 58 (4) 969 (2018)
DOI: 10.1007/s10543-018-0713-1
See this article
New energy-preserving algorithms for nonlinear Hamiltonian wave equation equipped with Neumann boundary conditions
Changying Liu, Xinyuan Wu and Wei ShiApplied Mathematics and Computation 339 588 (2018)
DOI: 10.1016/j.amc.2018.07.059
See this article
An energy-preserving algorithm for nonlinear Hamiltonian wave equations with Neumann boundary conditions
Wei Shi, Kai Liu, Xinyuan Wu and Changying LiuCalcolo 54 (4) 1379 (2017)
DOI: 10.1007/s10092-017-0232-5
See this article
Higher order volume-preserving schemes for charged particle dynamics
Yang He, Yajuan Sun, Jian Liu and Hong QinJournal of Computational Physics 305 172 (2016)
DOI: 10.1016/j.jcp.2015.10.032
See this article
Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems
Bin Wang, Arieh Iserles and Xinyuan WuFoundations of Computational Mathematics 16 (1) 151 (2016)
DOI: 10.1007/s10208-014-9241-9
See this article
4388 (2015)
DOI: 10.1109/CDC.2015.7402904
See this article
Structure-Preserving Algorithms for Oscillatory Differential Equations II
Xinyuan Wu, Kai Liu and Wei ShiStructure-Preserving Algorithms for Oscillatory Differential Equations II 117 (2015)
DOI: 10.1007/978-3-662-48156-1_6
See this article
Long-term analysis of numerical integrators for oscillatory Hamiltonian systems under minimal non-resonance conditions
David Cohen, Ludwig Gauckler, Ernst Hairer and Christian LubichBIT Numerical Mathematics 55 (3) 705 (2015)
DOI: 10.1007/s10543-014-0527-8
See this article
Structure-Preserving Algorithms for Oscillatory Differential Equations II
Xinyuan Wu, Kai Liu and Wei ShiStructure-Preserving Algorithms for Oscillatory Differential Equations II 69 (2015)
DOI: 10.1007/978-3-662-48156-1_4
See this article
Molecular Dynamics
Ben Leimkuhler and Charles MatthewsInterdisciplinary Applied Mathematics, Molecular Dynamics 39 97 (2015)
DOI: 10.1007/978-3-319-16375-8_3
See this article
Current Challenges in Stability Issues for Numerical Differential Equations
Paola Console and Ernst HairerLecture Notes in Mathematics, Current Challenges in Stability Issues for Numerical Differential Equations 2082 1 (2014)
DOI: 10.1007/978-3-319-01300-8_1
See this article
Efficient energy-preserving integrators for oscillatory Hamiltonian systems
Xinyuan Wu, Bin Wang and Wei ShiJournal of Computational Physics 235 587 (2013)
DOI: 10.1016/j.jcp.2012.10.015
See this article
Wave equation simulation on manifold by unconditional stable schemes
Zheng XieApplied Mathematics and Computation 218 (15) 7967 (2012)
DOI: 10.1016/j.amc.2012.02.028
See this article
Energy-Preserving Integrators and the Structure of B-series
Elena Celledoni, Robert I. McLachlan, Brynjulf Owren and G. R. W. QuispelFoundations of Computational Mathematics 10 (6) 673 (2010)
DOI: 10.1007/s10208-010-9073-1
See this article