# 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.

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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Daubechies, I, Lu, J, and Wu, H-T. "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool." *Applied and Computational Harmonic Analysis* 30.2 (March 2011): 243-261.
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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.
Open Access Copy

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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E, W, and Lu, J. "Multiscale modeling." *Scholarpedia* 6 (2011): 11527-. (Review)