# Jianfeng Lu

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

electronic structure models, calculus of variations, semiclassical analysis

##### Computational Mathematics

electronic structure models, multiscale modeling and simulations, numerical analysis, rare events simulation, computational physics, time-frequency analysis, fast algorithms, stochastic numerical methods, kinetic equations, nonlinear Schrodinger equations, quantum chemistry, computational statistical mechanics, optimization, high frequency wave propagation

##### Mathematical Physics

electronic structure models, quantum chemistry, kinetic theory, quantum information

##### PDE & Dynamical Systems

multiscale modeling and simulations, numerical analysis, calculus of variations, kinetic equations, Schroedinger equations

##### Physical Modeling

electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics

##### Probability

rare events simulation, computational statistical mechanics, stochastic numerical methods

##### Signals, Images & Data

time-frequency analysis, fast algorithms, optimization, applied harmonic analysis

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.

An, Dong, et al. *Convergence of Stochastic-extended Lagrangian molecular dynamics method
for polarizable force field simulation*.

Lu, Jianfeng, and Stefan Steinerberger. *Synchronization of Kuramoto Oscillators in Dense Networks*.

Craig, Katy, et al. *A Proximal-Gradient Algorithm for Crystal Surface Evolution*.

Han, Jiequn, et al. *Universal approximation of symmetric and anti-symmetric functions*.

Lu, Jianfeng, et al. *Defect resonances of truncated crystal structures*.
Open Access Copy

Li, Xiantao, et al. *PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham
density functional theory*.
Open Access Copy

Chen, Ke, et al. *Random Sampling and Efficient Algorithms for Multiscale PDEs*.

Gao, Yuan, et al. *Analysis of a continuum theory for broken bond crystal surface models
with evaporation and deposition effects*.

Yu, Victor Wen-zhe, et al. *ELSI -- An Open Infrastructure for Electronic Structure Solvers*.

Cai, Zhenning, et al. *Numerical analysis for inchworm Monte Carlo method: Sign problem and
error growth*.