# 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 Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule." *Archive for Rational Mechanics and Analysis* 199.2 (February 2011): 407-433.
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Lin, L, Yang, C, Lu, J, Ying, L, and E, W. "A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations." *Siam Journal on Scientific Computing* 33.3 (January 2011): 1329-1351.
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Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation." *Communications in Mathematical Sciences* 9.3 (2011): 663-683.
Open Access Copy

E, W, Lu, J, and Yang, X. "Effective Maxwell equations from time-dependent density functional theory." *Acta Math. Sin.* 32 (2011): 339-339.
Open Access Copy

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* 107.4 (January 26, 2010): 1273-1278.
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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).
Full Text Open Access Copy

Lin, L, Lu, J, Ying, L, and E, W. "Pole-based approximation of the Fermi-Dirac function." *Chin. Ann. Math. Ser. B* 30 (2009): 729-742.
Open Access Copy

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.