# 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.

Chen, H, Lu, J, and Ortner, C. "Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding." Open Access Copy

Liu, J-G, Lu, J, Margetis, D, and Marzuola, JL. "Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model." Open Access Copy

Dai, S, Li, B, and Lu, J. "Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation (Published online)." *Archive for Rational Mechanics and Analysis*.
Full Text Open Access Copy

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

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 sampling discrete parameters."

Li, XH, and Lu, J. "Quasinonlocal coupling of nonlocal diffusions." Open Access Copy

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."