A novel class of explicit energy-preserving splitting methods for charged-particle dynamics

DOI10.1016/j.aml.2023.108776arXiv2306.06644OpenAlexW4382932211MaRDI QIDQ6170085

Xicui Li, Bin Wang

Publication date: 15 August 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06644

zbMATH Keywords

error estimatecharged particle dynamicssplitting schemeexponential scalar auxiliary variableenergy-preserving property

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Parabolic equations and parabolic systems (35Kxx) Numerical problems in dynamical systems (65Pxx)

Cites Work

• The scalar auxiliary variable (SAV) approach for gradient flows
• Energy-preserving splitting methods for charged-particle dynamics in a normal or strong magnetic field
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• Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations
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• Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
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• Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs
• Exponential energy-preserving methods for charged-particle dynamics in a strong and constant magnetic field
• 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
• Gyrokinetic approach in particle simulation
• Error Estimates of Some Splitting Schemes for Charged-Particle Dynamics under Strong Magnetic Field
• The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Energy stability and convergence of SAV block-centered finite difference method for gradient flows

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