3 papers
math.NA2026
Structure-Preserving Dynamic Mode Decomposition for Highly Oscillatory Dynamics of Semiclassical Schrödinger Equations
Yizhe Feng, Weiguo Gao, Jia Yin
We propose two novel data-driven dynamic mode decomposition (DMD)-type methods, the Crank--Nicolson DMD and the semi-implicit DMD, to predict the highly oscillatory dynamics of the…
math.NA2026
A sixth-order compact time-splitting Fourier pseudospectral method
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…
math.NA2024
A mixed precision Jacobi SVD algorithm
Weiguo Gao, Yuxin Ma, Meiyue Shao
We propose a mixed precision Jacobi algorithm for computing the singular value decomposition (SVD) of a dense matrix. After appropriate preconditioning, the proposed algorithm comp…