# Jianfeng Lu

- Associate Professor of Mathematics
- Associate Professor of Chemistry (Secondary)
- Associate Professor of Physics (Secondary)

**External address:**242 Physics Bldg, 120 Science Drive, Durham, NC 27708

**Internal office address:**Mathematics Department, Duke University, Box 90320, Durham, NC 27708

**Phone:**(919) 660-2875

##### Links

### Research Areas and Keywords

##### Analysis

##### Computational Mathematics

##### Mathematical Physics

##### PDE & Dynamical Systems

##### Physical Modeling

##### Probability

##### Signals, Images & Data

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.

More specifically, his current research focuses include:

Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.

Lu, J, and Wang, Z. "The full configuration interaction quantum Monte Carlo method in the lens of inexact power iteration." Open Access Copy

Lu, J, and Steinerberger, S. "On Pointwise Products of Elliptic Eigenfunctions.".

Lu, J, and Ying, L. "Fast algorithm for periodic density fitting for Bloch waves." Open Access Copy

Lu, J, and Vanden-Eijnden, E. "Methodological and computational aspects of parallel tempering methods in the infinite swapping limit." Open Access Copy

Cao, Y, Lu, J, and Lu, Y. "Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance.".

Lu, J, and Otto, F. "An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus." Open Access Copy

Chen, K, Li, Q, Lu, J, and Wright, SJ. "Randomized sampling for basis functions construction in generalized finite element methods.". Open Access Copy

Thicke, K, Watson, A, and Lu, J. "Computation of bound states of semi-infinite matrix Hamiltonians with applications to edge states of two-dimensional materials.".

García-Cervera, CJ, Lu, J, Xuan, Y, and E, W. "Linear-scaling subspace-iteration algorithm with optimally localized nonorthogonal wave functions for Kohn-Sham density functional theory(Published online)." *Physical Review B* 79.11.
Full Text

Huang, H, Liu, J-G, and Lu, J. "Learning interacting particle systems: Diffusion parameter estimation for aggregation equations(Published online)." *Mathematical Models and Methods in Applied Sciences*: 1-29.
Full Text Open Access Copy