54 citations · 225 across the 20 of their papers we have counts for
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math.NA2020★ 6 cited
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…
math.NA2020
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…
math.NA2020
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…