16 citations · 20 across the 7 of their papers we have counts for
8 papers
Error and long-term analysis of two-step symmetric methods for relativistic charged-particle dynamics
Ting Li, Bin Wang, Ruili Zhang
In this work, we consider the error estimates and the long-time conservation or near-conservation of geometric structures, including energy, mass shell and phase-space volume, for…
A filtered two-step variational integrator for charged-particle dynamics in a moderate or strong magnetic field
Ting Li, Bin Wang
This article is concerned with a new filtered two-step variational integrator for solving the charged-particle dynamics in a mildly non-uniform moderate or strong magnetic field wi…
Continuous-stage symplectic adapted exponential methods for charged-particle dynamics with arbitrary electromagnetic fields
Ting Li, Bin Wang
This paper is devoted to the numerical symplectic approximation of the charged-particle dynamics (CPD) with arbitrary electromagnetic fields. By utilizing continuous-stage methods…
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes
Ting Li, Bin Wang
This paper is concerned with geometric exponential energy-preserving integrators for solving charged-particle dynamics in a magnetic field from normal to strong regimes. We firstly…
Analytic Tadpole Coefficients of One-loop Integrals
Bo Feng, Tingfei Li, Xiaodi Li
One remaining problem of unitarity cut method for one-loop integral reduction is that tadpole coefficients can not be straightforward obtained through this way. In this paper, we r…
Efficient energy-preserving methods for charged-particle dynamics
Ting Li, Bin Wang
In this paper, energy-preserving methods are formulated and studied for solving charged-particle dynamics. We first formulate the scheme of energy-preserving methods and analyze it…
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…
Arbitrary-order functionally fitted energy-diminishing methods for gradient systems
Bin Wang, Ting Li, Yajun Wu
It is well known that for gradient systems in Euclidean space or on a Riemannian manifold, the energy decreases monotonically along solutions. In this letter we derive and analyse…