11 citations · 20 across the 7 of their papers we have counts for
8 papers · 1 filter
Some uniform error analysis for gKdV equations in dispersionless limit regime before dispersive shock
Bing Li, Tingfeng Wang, Xiaofei Zhao
This work establishes uniform error estimates for classical numerical schemes applied to the generalized Korteweg-de Vries (gKdV) equation in the dispersionless limit regime, speci…
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…
Embedded exponential-type low-regularity integrators for KdV equation under rough data
Yifei Wu, Xiaofei Zhao
In this paper, we introduce a novel class of embedded exponential-type low-regularity integrators (ELRIs) for solving the KdV equation and establish their optimal convergence resul…
Numerical integrators for continuous disordered nonlinear Schrödinger equation
Xiaofei Zhao
In this paper, we consider the numerical solution of the continuous disordered nonlinear Schrödinger equation, which contains a spatial random potential. We address the finite time…
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…
Optimal convergence of a second order low-regularity integrator for the KdV equation
Yifei Wu, Xiaofei Zhao
In this paper, we establish the optimal convergence result of a second order exponential-type integrator from (136, Numer. Math., 2017) for solving the KdV equation under rough ini…