196 citations · 1.6k across the 143 of their papers we have counts for
5 papers · 2 filters
Analysis of the divide-and-conquer method for electronic structure calculations
Jingrun Chen, Jianfeng Lu
We study the accuracy of the divide-and-conquer method for electronic structure calculations. The analysis is conducted for a prototypical subdomain problem in the method. We prove…
Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost
Jianfeng Lu, Lexing Ying
Electron repulsion integral tensor has ubiquitous applications in quantum chemistry calculations. In this work, we propose an algorithm which compresses the electron repulsion tens…
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
Qin Li, Jianfeng Lu, Weiran Sun
In this paper we construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations. We treat both the case of pure diffusive scaling a…
Efficient rare event simulation for failure problems in random media
Jingchen Liu, Jianfeng Lu, Xiang Zhou
In this paper we study rare events associated to solutions of elliptic partial differential equations with spatially varying random coefficients. The random coefficients follow the…
Crystal image analysis using synchrosqueezed transforms
Haizhao Yang, Jianfeng Lu, Lexing Ying
We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The m…