# 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.

Lin, L, Lu, J, Ying, L, Car, R, and E, W. "Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems." *Commun. Math. Sci.* 7 (2009): 755-777.

Garcia-Cervera, CJ, Ren, W, Lu, J, and E, W. "Sequential multiscale modelling using sparse representation." *Commun. Comput. Phys.* 4 (2008): 1025-1033.

E, W, and Lu, J. "The Elastic Continuum Limit of the Tight Binding Model*." *Chinese Annals of Mathematics, Series B* 28.6 (December 2007): 665-676.
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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, 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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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."