Structure-preserving algorithm and its error estimate for the relativistic charged-particle dynamics under the strong magnetic field

Numerical methods for initial value problems involving ordinary differential equations (65L05) Motion of charged particles (78A35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

Volume-preserving algorithms for charged particle dynamics
Energy behaviour of the Boris method for charged-particle dynamics
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field
Volume-preserving algorithms for source-free dynamical systems
An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
High order explicit Lorentz invariant volume-preserving algorithms for relativistic dynamics of charged particles
Large-stepsize integrators for charged-particle dynamics over multiple time scales
Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
Efficient energy-preserving methods for charged-particle dynamics
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field
Explicit high-order gauge-independent symplectic algorithms for relativistic charged particle dynamics
Splitting methods
Symplectic Geometric Algorithms for Hamiltonian Systems
Gyrokinetics from variational averaging: Existence and error bounds
Symmetric multistep methods for charged-particle dynamics
Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
A new class of energy-preserving numerical integration methods
Geometric Numerical Integration
Forms of Relativistic Dynamics

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