most citedImproved uniform error bounds on time-splitting methods for the long-time dynamics of the Dirac equation with small potentials

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

cs.LG2023

Learning nonlinear integral operators via Recurrent Neural Networks and its application in solving Integro-Differential Equations

Hardeep Bassi, Yuanran Zhu, Senwei Liang +4

In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-di…

quant-ph2023★ 1 cited

A hybrid method for quantum dynamics simulation

Niladri Gomes, Jia Yin, Siyuan Niu +2

We propose a hybrid approach to simulate quantum many body dynamics by combining Trotter based quantum algorithm with classical dynamic mode decomposition. The interest often lies…

math.NA2021★ 2 cited

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…