# 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. "Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model." *Communications on Pure and Applied Mathematics* 63.11 (November 2010): 1432-1468.
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E, W, Li, T, and Lu, J. "Localized bases of eigensubspaces and operator compression." *Proceedings of the National Academy of Sciences of the United States of America* 107.4 (January 4, 2010): 1273-1278.
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Lin, L, Lu, J, Ying, L, and Weinan, E. "Pole-Based approximation of the Fermi-Dirac function." *Chinese Annals of Mathematics, Series B* 30.6 (November 2009): 729-742.
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Lin, L, Lu, J, Car, R, and E, W. "Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems." *Physical Review B* 79.11 (March 2009).
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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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