2 papers
math.NA2021
Fast Algorithms and Error Analysis of Caputo Derivatives with Small Factional Orders
Zihang Zhang, Qiwei Zhan, Zhennan Zhou
In this paper, we investigate fast algorithms in the small fraction order regime to approximate the Caputo derivative when is small. We focus on two fast algori…
math.AP2015
Bloch dynamics with second order Berry phase correction
Jianfeng Lu, Zihang Zhang, Zhennan Zhou
We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical deriv…