10 papers · 1 filter
Time exponential integrator Fourier pseudospectral methods with high accuracy and multiple conservation laws for three-dimensional Maxwell's equations
Bin Wang, Yaolin Jiang
Maxwell equations describe the propagation of electromagnetic waves and are therefore fundamental to understanding many problems encountered in the study of antennas and electromag…
Semi-discretization and full-discretization with optimal accuracy for charged-particle dynamics in a strong nonuniform magnetic field
Bin Wang, Yaolin Jiang
The aim of this paper is to formulate and analyze numerical discretizations of charged-particle dynamics (CPD) in a strong nonuniform magnetic field. A strategy is firstly performe…
Long term analysis of splitting methods for charged-particle dynamics
Xicui Li, Bin Wang
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 t…
Geometric two-scale integrators for highly oscillatory system: uniform accuracy and near conservations
Bin Wang, Xiaofei Zhao
In this paper, we consider a class of highly oscillatory Hamiltonian systems which involve a scaling parameter . The problem arises from many physical models i…
Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems
Bin Wang, Yaolin Jiang
Structure-preserving algorithms and algorithms with uniform error bound have constituted two interesting classes of numerical methods. In this paper, we blend these two kinds of me…
Optimal convergence and long-time conservation of exponential integration for Schrödinger equations in a normal or highly oscillatory regime
Bin Wang, Yaolin Jiang
In this paper, we formulate and analyse exponential integrations when applied to nonlinear Schrödinger equations in a normal or highly oscillatory regime. A kind of exponential int…