An Arbitrarily High-Order Energy-Preserving Scheme for the Lorentz Force System  

作　　者：Jialing WANG Jiazhen HUANG Wenjun CAI 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Jiangsu210044,P.R.China [2]Jiangsu Key Laboratory of NSLSCS,School of Mathematical Sciences,Nanjing Normal University,Jiangsu210023,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第1期116-126,共11页数学研究及应用（英文版）

基　　金：Support by the National Natural Science Foundation of China(Grants Nos.11801277;11971242).

摘　　要：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 highorder.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 energypreserving method in the literature.

关 键 词：Lorentz force system energy-preserving method invariant energy quadratization method symplectic Runge-Kutta method 

分 类 号：O177[理学—数学]