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Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
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Comment on "Symplectic integration of magnetic systems": A proof that the Boris algorithm is not variational
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Explicit volume-preserving numerical schemes for relativistic trajectories and spin dynamics.
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A class of explicit numerical schemes is developed to solve for the relativistic dynamics and spin of particles in electromagnetic fields, using the Lorentz-Bargmann-Michel-Telegdi equation…
Long term analysis of splitting methods for charged-particle dynamics
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- 2023
In this paper, we rigorously analyze the energy, momentum and magnetic moment behaviours of two splitting methods for solving charged-particle dynamics. The near-conservations of these invariants are…
Continuous-stage symplectic adapted exponential methods for charged-particle dynamics with arbitrary electromagnetic fields
- MathematicsArXiv
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. This paper is devoted to the numerical symplectic approximation of the charged- particle dynamics (CPD) with arbitrary electromagnetic fields. By utilizing continuous-stage methods and exponential…
Energy behavior of Boris algorithm
- Physics
- 2020
The energy behavior of the Boris method is found to be strongly related to the integrability of the Hamiltonian system, and if the invariant tori is preserved under Boris discretization, the energy error can be bounded for an exponentially long time, otherwise the error will show a linear growth.
Symmetric multistep methods for charged-particle dynamics
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- 2017
A class of explicit symmetric multistep methods is proposed for integrating the equations of motion of charged particles in an electro-magnetic field. The magnetic forces are built into these methods…
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
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The numerical discretisation is studied for a variational integrator that is an analogue for charged-particle dynamics of the Störmer–Verlet method to yield near-conservation of a modified magnetic moment and a modified energy over similarly long times.
Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field
- PhysicsNumerische Mathematik
- 2020
The differential equations of motion of a charged particle in a strong non-uniform magnetic field have the magnetic moment as an adiabatic invariant. This quantity is nearly conserved over long time…
Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus
- Computer ScienceSSRN Electronic Journal
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A class of particle methods for the Vlasov equation with a strong external magnetic field in a torus configuration based on higher-order semi-implicit numerical schemes already validated on dissipative systems and for magneticflelds pointing in a flxed direction is proposed and analyzed.
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