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math.NA2026
Rigorous analysis of the time-splitting methods for the semiclassical Dirac equation
He Wang, Jia Yin
We provide rigorous error analysis of the mass-preserving time-splitting methods for solving the semiclassical Dirac equation. The scaled Planck constant in the equation gives…
math.NA2026
A sixth-order compact time-splitting Fourier pseudospectral method for the Dirac equation
Weiguo Gao, Zhansi He, Jia Yin
In this paper, we propose a novel sixth-order compact time-splitting scheme, denoted as , for solving the Dirac equation in the absence of external magnetic potenti…