# 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 Otto, F. "Optimal artificial boundary condition for random elliptic media."

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

Lu, J, Sachs, M, and Steinerberger, S. "Quadrature Points via Heat Kernel Repulsion.".

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

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

Lu, J, Lu, Y, and Nolen, J. "Scaling limit of the Stein variational gradient descent: the mean field regime.".

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

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

Cao, Y, Lu, J, and Lu, Y. "Exponential decay of Rényi divergence under Fokker-Planck equations.".

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