# Jianfeng Lu

- Associate 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.

Lu, Jianfeng, and Stefan Steinerberger. *On Pointwise Products of Elliptic Eigenfunctions*.

Lu, Yulong, et al. *Accelerating Langevin Sampling with Birth-death*.

Lu, Jianfeng, et al. *Deep Network Approximation for Smooth Functions*.

Nishimura, Akihiko, et al. *Discontinuous Hamiltonian Monte Carlo for discrete parameters and
discontinuous likelihoods*.

Thicke, Kyle, et al. *Computing edge states without hard truncation*.

Gao, Yuan, et al. *Analysis of a fourth order exponential PDE arising from a crystal
surface jump process with Metropolis-type transition rates*.

Khoo, Yuehaw, et al. *Solving parametric PDE problems with artificial neural networks*.
Open Access Copy

Nolen, J. H., et al. “Scaling limit of the Stein variational gradient descent: the mean field regime.” *Siam Journal on Mathematical Analysis*, Society for Industrial and Applied Mathematics.