# 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

##### 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, and Ying, L. "Fast construction of hierarchical matrix representation from matrix-vector multiplication." *Journal of Computational Physics* 230.10 (2011): 4071-4087.
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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).
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García-Cervera, CJ, Lu, J, Xuan, Y, and E, W. "Linear-scaling subspace-iteration algorithm with optimally localized nonorthogonal wave functions for Kohn-Sham density functional theory." *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.

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

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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