| 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
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| Fund Project:Support by the National Natural Science Foundation of China (Grants Nos.11801277; 11971242). |
| Author Name | Affiliation | | 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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