87 citations · 466 across the 13 of their papers we have counts for
6 papers · 1 filter
Canonical symplectic structure and structure-preserving geometric algorithms for Schrödinger-Maxwell systems
Qiang Chen, Hong Qin, Jian Liu +4
An infinite dimensional canonical symplectic structure and structure-preserving geometric algorithms are developed for the photon-matter interactions described by the Schrödinger-M…
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field
Ruili Zhang, Yulei Wang, Yang He +4
Relativistic dynamics of a charged particle in time-dependent electromagnetic fields has theoretical significance and a wide range of applications. It is often multi-scale and requ…
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…
Explicit high-order noncanonical symplectic algorithms for ideal two-fluid systems
Jianyuan Xiao, Hong Qin, Philip J. Morrison +4
An explicit high-order noncanonical symplectic algorithm for ideal two-fluid systems is developed. The fluid is discretized as particles in the Lagrangian description, while the el…
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 symplectic algorithms based on generating functions for charged particle dynamics
Ruili Zhang, Hong Qin, Yifa Tang +3
Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the de facto method for numerical…