# Jianfeng Lu

- Associate Professor of Mathematics

**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

### 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, 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, 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, Lu, J, and Yang, JZ. "Uniform accuracy of the quasicontinuum method." *Physical Review B* 74.21 (December 2006).
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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

Cai, Z, Lu, J, and Stubbs, K. "On discrete Wigner transforms."

Cao, Y, and Lu, J. "Stochastic dynamical low-rank approximation method."

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."