Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field
DOI10.1137/20M1340101MaRDI QIDQ5009339
No author found.
Publication date: 20 August 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11192
error estimatesplitting schemestrong magnetic fieldenergy-preserving schememodulated Fourier expansioncharged-particle dynamics
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Motion of charged particles (78A35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items (23)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-term analysis of the Störmer-Verlet method for Hamiltonian systems with a solution-dependent high frequency
- Symplectic integration of magnetic systems
- 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
- Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime
- An energy-conserving and asymptotic-preserving charged-particle orbit implicit time integrator for arbitrary electromagnetic fields
- Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles
- High-order energy-conserving line integral methods for charged particle dynamics
- Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field
- 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
- Arbitrary-order energy-preserving methods for charged-particle dynamics
- Explicit \(K\)-symplectic algorithms for charged particle dynamics
- Asymptotically Stable Particle-In-Cell Methods for the Vlasov--Poisson System with a Strong External Magnetic Field
- Hamiltonian theory of guiding-center motion
- Foundations of nonlinear gyrokinetic theory
- Splitting methods
- LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD
- Gyrokinetic approach in particle simulation
- Geometric integration using discrete gradients
- Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
- Gyrokinetics from variational averaging: Existence and error bounds
- On the Vlasov--Maxwell System with a Strong Magnetic Field
- Adiabatic invariants and trapping of a point charge in a strong nonuniform magnetic field
- Symmetric multistep methods for charged-particle dynamics
- Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
- DYNAMICS, NUMERICAL ANALYSIS, AND SOME GEOMETRY
- Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
- Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas
- Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field
- A new class of energy-preserving numerical integration methods
- Geometric Numerical Integration
- Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations
- Multiscale particle-in-cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field
This page was built for publication: Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field