57 citations · 161 across the 16 of their papers we have counts for
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Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials
Weizhu Bao, Yue Feng, Jia Yin
We establish improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small electromagnetic potentials characterized by a dimen…
Analyzing and predicting non-equilibrium many-body dynamics via dynamic mode decomposition
Jia Yin, Yang-hao Chan, Felipe da Jornada +3
Simulating the dynamics of a nonequilibrium quantum many-body system by computing the two-time Green's function associated with such a system is computationally challenging. Howeve…
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials
Yue Feng, Jia Yin
Two exponential wave integrator Fourier pseudospectral (EWI-FP) methods are presented and analyzed for the long-time dynamics of the Dirac equation with small potentials characteri…
A fourth-order compact time-splitting method for the Dirac equation with time-dependent potentials
Jia Yin
In this paper, we present an approach to deal with the dynamics of the Dirac equation with time-dependent electromagnetic potentials using the fourth-order compact time-splitting m…
Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials
Yue Feng, Jia Yin
We compare the long-time error bounds and spatial resolution of finite difference methods with different spatial discretizations for the Dirac equation with small electromagnetic p…
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…