2 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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…
A fast low-rank inversion algorithm of dielectric matrix in GW approximation
Zhengbang Zhou, Huanhuan Ma, Wentiao Wu +4
The dielectric response function and its inverse are crucial physical quantities in materials science. We propose an accurate and efficient strategy to invert the dielectric functi…
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…
Solving the k-sparse Eigenvalue Problem with Reinforcement Learning
Li Zhou, Lihao Yan, Mark A. Caprio +2
We examine the possibility of using a reinforcement learning (RL) algorithm to solve large-scale eigenvalue problems in which the desired the eigenvector can be approximated by a s…
An Iterative Minimization Formulation for Saddle-Point Search
Weiguo Gao, Jing Leng, Xiang Zhou
This paper proposes and analyzes an iterative minimization formulation for search- ing index-1 saddle points of an energy function. This formulation differs from other eigenvector-…