118 citations · 395 across the 16 of their papers we have counts for
Showing 2015 · math.NAShow all
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math.NA2015★ 58 cited
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
math.NA2015★ 32 cited
A uniformly accurate (UA) multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime
Weizhu Bao, Yongyong Cai, Xiaowei Jia +1
We propose and rigourously analyze a multiscale time integrator Fourier pseudospectral (MTI-FP) method for the Dirac equation with a dimensionless parameter w…
math.NA2015★ 46 cited
Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime
Weizhu Bao, Yongyong Cai, Xiaowei Jiao +1
We analyze rigorously error estimates and compare numerically spatial/temporal resolution of various numerical methods for the discretization of the Dirac equation in the nonrelati…