12 citations · 24 across the 6 of their papers we have counts for
6 papers
Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
Weizhu Bao, Ying Ma, Chushan Wang
We establish optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and typical power-type nonlinearity ,…
Regularized numerical methods for the nonlinear Schrödinger equation with singular nonlinearity
Weizhu Bao, Yue Feng, Ying Ma
We present different regularizations and numerical methods for the nonlinear Schrödinger equation with singular nonlinearity (sNLSE) including the regularized Lie-Trotter time-spli…
Parallelizing Explicit and Implicit Extrapolation Methods for Ordinary Differential Equations
Utkarsh, Chris Elrod, Yingbo Ma +1
Numerically solving ordinary differential equations (ODEs) is a naturally serial process and as a result the vast majority of ODE solver software are serial. In this manuscript we…
Error bounds of fourth-order compact finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Yue Feng, Ying Ma
We establish the error bounds of fourth-order compact finite difference (4cFD) methods for the Dirac equation in the massless and nonrelativistic regime, which involves a small dim…
Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Ying Ma, Jia Yin
We present four frequently used finite difference methods and establish the error bounds for the discretization of the Dirac equation in the massless and nonrelativistic regime, in…
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang +1
We propose a spectral method by using the Jacobi functions for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator (FSO). In the prob…