# 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.
Full Text Open Access Copy

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.
Full Text Open Access Copy

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.
Full Text

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.
Full Text

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.
Full Text

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.
Full Text

Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation." *Communications in Mathematical Sciences* 9.3 (2011): 663-683.

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.
Full Text

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

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.
Full Text Open Access Copy