On the Boris solver in particle-in-cell simulation

A three-step Boris integrator for Lorentz force equation of charged particles

(2018) Takayuki Umeda   COMPUTER PHYSICS COMMUNICATIONS

Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field

(2018) Ruili Zhang et al.   PHYSICS OF PLASMAS

Explicit symplectic integrator for particle tracking in s -dependent static electric and magnetic fields with curved reference trajectory

(2018) A. Wolski et al.   Physical Review Accelerators and Beams

A fully implicit numerical integration of the relativistic particle equation of motion

(2017) J. Pétri   JOURNAL OF PLASMA PHYSICS

A fast numerical integrator for relativistic charged particle tracking

(2017) Ji Qiang   NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT

Structure-preserving second-order integration of relativistic charged particle trajectories in electromagnetic fields

(2017) A. V. Higuera et al.   PHYSICS OF PLASMAS

Dissipation in relativistic pair-plasma reconnection: revisited

(2017) Seiji Zenitani   PLASMA PHYSICS AND CONTROLLED FUSION

Variational formulation of macro-particle plasma simulation algorithms

(2014) B. A. Shadwick et al.   PHYSICS OF PLASMAS

Why is Boris algorithm so good?

(2013) Hong Qin et al.   PHYSICS OF PLASMAS

Symplectic and energy-conserving algorithms for solving magnetic field trajectories

(2008) Siu A. Chin   PHYSICAL REVIEW E

Simulation of beams or plasmas crossing at relativistic velocity

(2008) J.-L. Vay   PHYSICS OF PLASMAS