57 citations · 137 across the 11 of their papers we have counts for
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math.NA2015★ 57 cited
Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime
Weizhu Bao, Yongyong Cai, Xiaowei Jia +1
We present several numerical methods and establish their error estimates for the discretization of the nonlinear Dirac equation in the nonrelativistic limit regime, involving a sma…
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…