# 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.

E, W, and Lu, J. "The continuum limit and QM-continuum approximation of quantum mechanical models of solids." *Communications in Mathematical Sciences* 5.3 (2007): 679-696.
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E, W, García-Cervera, CJ, and Lu, J. "A sub-linear scaling algorithm for computing the electronic structure of materials." *Communications in Mathematical Sciences* 5.4 (2007): 999-1026.
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E, W, and Lu, J. "Seamless multiscale modeling via dynamics on fiber bundles." *Communications in Mathematical Sciences* 5.3 (2007): 649-663.
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E, W, Lu, J, and Yang, JZ. "Uniform accuracy of the quasicontinuum method." *Physical Review B* 74.21 (December 2006).
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Khoo, Y, Lu, J, and Ying, L. "Efficient construction of tensor ring representations from sampling." Open Access Copy

Li, X, Lin, L, and Lu, J. "PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory." Open Access Copy

Delgadillo, R, Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation in periodic media."

Lu, J, and Wang, Z. "The full configuration interaction quantum Monte Carlo method in the lens of inexact power iteration." Open Access Copy

Lin, L, Lu, J, and Vanden-Eijnden, E. "A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning) (Published online)." *Communications on Pure and Applied Mathematics*.
Full Text Open Access Copy

Lu, J, and Vanden-Eijnden, E. "Methodological and computational aspects of parallel tempering methods in the infinite swapping limit." Open Access Copy