87 citations · 520 across the 17 of their papers we have counts for
4 papers · 1 filter
Local Energy Conservation Law for Spatially-Discretized Hamiltonian Vlasov-Maxwell System
Jianyuan Xiao, Hong Qin, Jian Liu +1
Structure-preserving geometric algorithm for the Vlasov-Maxwell (VM) equations is currently an active research topic. We show that spatially-discretized Hamiltonian systems for the…
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 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…