87 citations · 466 across the 13 of their papers we have counts for
5 papers · 1 filter
High order volume-preserving algorithms for relativistic charged particles in general electromagnetic fields
Yang He, Yajuan Sun, Ruili Zhang +3
We construct high order symmetric volume-preserving methods for the relativistic dynamics of a charged particle by the splitting technique with processing. Via expanding the phase…
Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations
Yang He, Yajuan Sun, Hong Qin +1
In this paper, we develop Hamiltonian particle-in-cell methods for Vlasov-Maxwell equations by applying conforming finite element methods in space and splitting methods in time. Fo…
Explicit non-canonical symplectic algorithms for charged particle dynamics
Yang He, Yajuan Sun, Zhaoqi Zhou +2
We study the non-canonical symplectic structure, or K-symplectic structure inherited by the charged particle dynamics. Based on the splitting technique, we construct non-canonical…
Hamiltonian integration methods for Vlasov-Maxwell equations
Yang He, Hong Qin, Yajuan Sun +3
Hamiltonian integration methods for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, i.e., the…
Comment on "Hamiltonian splitting for the Vlasov-Maxwell equations"
Hong Qin, Yang He, Ruili Zhang +3
The paper [1] by Crouseilles, Einkemmer, and Faou used an incorrect Poisson bracket for the Vlasov-Maxwell equations. If the correct Poisson bracket is used, the solution of one of…