196 citations · 1.6k across the 143 of their papers we have counts for
8 papers · 1 filter
Fast algorithm for periodic density fitting for Bloch waves
Jianfeng Lu, Lexing Ying
We propose an efficient algorithm for density fitting of Bloch waves for Hamiltonian operators with periodic potential. The algorithm is based on column selection and random Fourie…
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…
Sparsifying preconditioner for soliton calculations
Jianfeng Lu, Lexing Ying
We develop a robust and efficient method for soliton calculations for nonlinear Schrödinger equations. The method is based on the recently developed sparsifying preconditioner comb…
Half-space Kinetic Equations with General Boundary Conditions
Qin Li, Jianfeng Lu, Weiran Sun
We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various type of reflections, extending our previous work…
An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
Jianfeng Lu, Felix Otto
We study an isoperimetric problem the energy of which contains the perimeter of a set, Coulomb repulsion of the set with itself, and attraction of the set to a background nucleus a…
Localized density matrix minimization and linear scaling algorithms
Rongjie Lai, Jianfeng Lu
We propose a convex variational approach to compute localized density matrices for both zero temperature and finite temperature cases, by adding an entry-wise regularizati…