# 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 Otto, F. "Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model." *Communications on Pure and Applied Mathematics* 67.10 (2014): 1605-1617.
Full Text

Lu, J, and Vanden-Eijnden, E. "Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials." *J Chem Phys* 138.8 (February 28, 2013): 084105-.
Full Text Open Access Copy

Lu, J, and Ming, P. "Convergence of a Force-Based Hybrid Method in Three Dimensions." *Communications on Pure and Applied Mathematics* 66.1 (January 2013): 83-108.
Full Text Open Access Copy

E, W, Lu, JF, and Yang, X. "Asymptotic analysis of quantum dynamics in crystals: The Bloch-Wigner transform, Bloch dynamics and Berry phase." *Acta Mathematicae Applicatae Sinica* 29.3 (2013): 465-476.
Full Text

E, W, Lu, J, and Yao, Y. "The landscape of complex networks: Critical nodes and a hierarchical decomposition." *Methods and Applications of Analysis* 20.4 (2013): 383-404.
Full Text

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.
Full Text Open Access Copy

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.
Full Text

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.
Full Text Open Access Copy

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