New applications for the Boris Spectral Deferred Correction algorithm for plasma simulations

DOI10.1016/j.amc.2022.127706OpenAlexW4310928936MaRDI QIDQ2700339

Daniel Ruprecht, Joonas Nättilä, Jitse Niesen, Kris Smedt, S. M. Tobias

Publication date: 21 April 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08024

zbMATH Keywords

particle-in-cell (PIC)Boris integratorspectral deferred correctionsrelativistic Lorentz equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• SciPy
• Python
• RIDC

Cites Work

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• A high-order boris integrator
• Toward an efficient parallel in time method for partial differential equations
• Alternating-order interpolation in a charge-conserving scheme for particle-in-cell simulations
• A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations
• Faster SDC convergence on non-equidistant grids by DIRK sweeps
• Common molecular dynamics algorithms revisited: Accuracy and optimal time steps of Störmer-Leapfrog integrators
• Spectral deferred correction methods for ordinary differential equations
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov-Poisson equation in phase space
• Energy behaviour of the Boris method for charged-particle dynamics
• Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
• Arbitrary-order energy-preserving methods for charged-particle dynamics
• Higher order volume-preserving schemes for charged particle dynamics
• Accelerating the convergence of spectral deferred correction methods
• Geometric numerical integration illustrated by the Störmer–Verlet method
• Symmetric multistep methods for charged-particle dynamics
• Algorithm 965
• Geometric Numerical Integration

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