6 papers
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…
Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field
Bin Wang, Xiaofei Zhao
In this work, we consider the error estimates of some splitting schemes for the charged-particle dynamics under a strong magnetic field. We first propose a novel energy-preserving…
A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field
Ernst Hairer, Christian Lubich, Bin Wang
A modification of the standard Boris algorithm, called filtered Boris algorithm, is proposed for the numerical integration of the equations of motion of charged particles in a stro…
One-stage explicit trigonometric integrators for effectively solving quasilinear wave equations
Bin Wang, Changying Liu, Yonglei Fang
In this paper, one-stage explicit trigonometric integrators for solving quasilinear wave equations are formulated and studied. For solving wave equations, we first introduce trigon…
Explicit symplectic adapted exponential integrators for charged-particle dynamics in a strong and constant magnetic field
Ting Li, Bin Wang
This paper studies explicit symplectic adapted exponential integrators for solving charged-particle dynamics in a strong and constant magnetic field. We first formulate the scheme…