# 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. "Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model." *Journal of Mathematical Physics* 53.11 (November 2012): 115615-115615.
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Lin, L, Lu, J, Ying, L, and E, W. "Optimized local basis set for Kohn–Sham density functional theory." *Journal of Computational Physics* 231.13 (May 2012): 4515-4529.
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Lin, L, Lu, J, Ying, L, and E, W. "Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation." *Journal of Computational Physics* 231.4 (February 2012): 2140-2154.
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Lu, J, and Yang, X. "Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods." *Multiscale Modeling and Simulation* 10.2 (2012): 451-472.
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Lu, J, and Yang, X. "Convergence of frozen Gaussian approximation for high-frequency wave propagation." *Communications on Pure and Applied Mathematics* 65.6 (2012): 759-789.
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E, W, and Lu, J. "The Kohn-Sham equation for deformed crystals." *Memoirs of the American Mathematical Society* 221.1040 (2012): 1-1.
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Schütte, C, Noé, F, Lu, J, Sarich, M, and Vanden-Eijnden, E. "Markov state models based on milestoning." *The Journal of Chemical Physics* 134.20 (May 28, 2011): 204105-204105.
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Lin, L, Yang, C, Meza, JC, Lu, J, Ying, L, and E, W. "SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix." *ACM Transactions on Mathematical Software* 37.4 (February 1, 2011): 1-19.
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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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Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation." *Communications in Mathematical Sciences* 9.3 (2011): 663-683.