An Arbitrarily High-Order Energy-Preserving Scheme for the Lorentz Force System
Received:March 03, 2022  Revised:June 26, 2022
Key Words: Lorentz force system   energy-preserving method   invariant energy quadratization method   symplectic Runge-Kutta method  
Fund Project:Support by the National Natural Science Foundation of China (Grants Nos.11801277; 11971242).
Author NameAffiliation
Jialing WANG School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China 
Jiazhen HUANG School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Jiangsu 210044, P. R. China 
Wenjun CAI Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Jiangsu 210023, P. R. China 
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Abstract:
      This letter is focused on proposing an arbitrarily high-order energy-preserving method for solving the charged-particle dynamics. After transforming the original Hamiltonian energy functional into a quadratic form by using the invariant energy quadratization method, symplectic Runge-Kutta method is used to construct a novel energy-preserving scheme to solve the Lorentz force system. The new scheme is not only energy-preserving, but also can be arbitrarily high-order. Numerical experiments are conducted to demonstrate the notable superiority of the new method with comparison to the well-known Boris method and another second-order energy-preserving method in the literature.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.01.013
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