# 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 Zhou, Z. "Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms." Open Access Copy

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

Lu, J, and Zhou, Z. "Bloch dynamics with second order Berry phase correction." Open Access Copy

Nishimura, A, Dunson, D, and Lu, J. "Discontinuous Hamiltonian Monte Carlo for models with discrete parameters and discontinuous likelihoods."

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

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

Khoo, Y, Lu, J, and Ying, L. "Solving parametric PDE problems with artificial neural networks." Open Access Copy

Fang, D, and Lu, J. "A Diabatic Surface Hopping Algorithm based on Time Dependent Perturbation Theory and Semiclassical Analysis." Open Access Copy