# 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.

Gao, Y, Liu, J-G, Lu, J, and Marzuola, JL. "Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects.".

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

Lu, J, and Zhou, Z. "Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics.".

Cai, Z, Lu, J, and Stubbs, K. "On discrete Wigner transforms.". Open Access Copy

Lu, J, Sogge, CD, and Steinerberger, S. "Approximating Pointwise Products of Laplacian Eigenfunctions.".

Khoo, Y, Lu, J, and Ying, L. "Solving for high dimensional committor functions using artificial neural networks."

Cai, Z, Lu, J, and Yang, S. "Inchworm Monte Carlo method for open quantum systems.".

Lu, J, and Yang, H. "Preconditioning Orbital Minimization Method for Planewave Discretization.". Open Access Copy

Li, Y, Cheng, X, and Lu, J. "Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks.". Open Access Copy

Lu, J, and Otto, F. "Optimal artificial boundary condition for random elliptic media."