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12/07/2021
Improved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials
We establish improved uniform error bounds on time-splitting methods for...
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06/26/2021
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials
Two exponential wave integrator Fourier pseudospectral (EWI-FP) methods ...
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06/26/2021
Analyzing and predicting non-equilibrium many-body dynamics via dynamic mode decomposition
Simulating the dynamics of a nonequilibrium quantum many-body system by ...
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06/17/2021
A fourth-order compact time-splitting method for the Dirac equation with time-dependent potentials
In this paper, we present an approach to deal with the dynamics of the D...
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05/21/2021
Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials
We compare the long-time error bounds and spatial resolution of finite d...
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04/29/2021
Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
We present four frequently used finite difference methods and establish ...
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06/25/2019