Next Article in Journal
Comprehensive Study of Li+/Ni2+ Disorder in Ni-Rich NMCs Cathodes for Li-Ion Batteries
Next Article in Special Issue
Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
Previous Article in Journal
Soil Arching of Piled Embankment in Equal Settlement Pattern: A Discrete Element Analysis
Previous Article in Special Issue
Well-Posedness and Porosity for Symmetric Optimization Problems
Article

On Symmetrical Methods for Charged Particle Dynamics

by 1 and 1,2,*
1
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
2
Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, China
*
Author to whom correspondence should be addressed.
Academic Editor: Aviv Gibali
Symmetry 2021, 13(9), 1626; https://doi.org/10.3390/sym13091626
Received: 30 July 2021 / Revised: 12 August 2021 / Accepted: 13 August 2021 / Published: 3 September 2021
In this paper, we use the scalar auxiliary variable (SAV) approach to rewrite the charged particle dynamics as a new family of ODE systems. The systems own a conserved energy. It is shown that a family of symmetrical methods is energy-conserving for a new ODE system but may not be for the original systems. Moreover, the methods have high-order accuracy. Numerical results are given to confirm the theoretical findings. View Full-Text
Keywords: energy-conserving methods; non-polynomial Hamiltonians; energy errors; charged particle dynamics energy-conserving methods; non-polynomial Hamiltonians; energy errors; charged particle dynamics
Show Figures

Figure 1

MDPI and ACS Style

Tang, R.; Li, D. On Symmetrical Methods for Charged Particle Dynamics. Symmetry 2021, 13, 1626. https://doi.org/10.3390/sym13091626

AMA Style

Tang R, Li D. On Symmetrical Methods for Charged Particle Dynamics. Symmetry. 2021; 13(9):1626. https://doi.org/10.3390/sym13091626

Chicago/Turabian Style

Tang, Renxuan, and Dongfang Li. 2021. "On Symmetrical Methods for Charged Particle Dynamics" Symmetry 13, no. 9: 1626. https://doi.org/10.3390/sym13091626

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop