Jianfeng Lu

Jianfeng Lu
  • Professor of Mathematics
  • Associate Professor of Physics (Secondary)
  • Associate Professor of Chemistry (Secondary)
  • Associate Professor in 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

Research Areas and Keywords

Analysis

electronic structure models, calculus of variations, semiclassical analysis

Computational Mathematics

electronic structure models, multiscale modeling and simulations, numerical analysis, rare events simulation, computational physics, time-frequency analysis, fast algorithms, stochastic numerical methods, kinetic equations, nonlinear Schrodinger equations, quantum chemistry, computational statistical mechanics, optimization, high frequency wave propagation

Mathematical Physics

electronic structure models, quantum chemistry, kinetic theory, quantum information

PDE & Dynamical Systems

multiscale modeling and simulations, numerical analysis, calculus of variations, kinetic equations, Schroedinger equations

Physical Modeling

electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics

Probability

rare events simulation, computational statistical mechanics, stochastic numerical methods

Signals, Images & Data

time-frequency analysis, fast algorithms, optimization, applied harmonic analysis

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.

Education & Training
  • Ph.D., Princeton University 2009

Lu, Jian-feng, and Xu Yang. “Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase.” Acta Mathematicae Applicatae Sinica, English Series, vol. 29, no. 3, July 2013, pp. 465–76. Manual, doi:10.1007/s10255-011-0095-5. Full Text

Lu, Jianfeng, and Eric Vanden-Eijnden. “Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials.The Journal of Chemical Physics, vol. 138, no. 8, Feb. 2013, p. 084105. Epmc, doi:10.1063/1.4790706. Full Text Open Access Copy

Lu, Jianfeng, and Pingbing Ming. “Convergence of a Force-Based Hybrid Method in Three Dimensions.” Communications on Pure and Applied Mathematics, vol. 66, no. 1, Wiley, Jan. 2013, pp. 83–108. Crossref, doi:10.1002/cpa.21429. Full Text Open Access Copy

E, Weinan, et al. “The landscape of complex networks: Critical nodes and a hierarchical decomposition.” Methods and Applications of Analysis, vol. 20, no. 4, International Press of Boston, 2013, pp. 383–404. Crossref, doi:10.4310/maa.2013.v20.n4.a5. Full Text

E, Weinan, and Jianfeng Lu. “Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model.” Journal of Mathematical Physics, vol. 53, no. 11, AIP Publishing, Nov. 2012, pp. 115615–115615. Crossref, doi:10.1063/1.4755952. Full Text Open Access Copy

Lu, J., and X. Yang. “Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods.” Multiscale Modeling and Simulation, vol. 10, no. 2, Sept. 2012, pp. 451–72. Scopus, doi:10.1137/10081068X. Full Text Open Access Copy

Lu, J., and X. Yang. “Convergence of frozen Gaussian approximation for high-frequency wave propagation.” Communications on Pure and Applied Mathematics, vol. 65, no. 6, June 2012, pp. 759–89. Scopus, doi:10.1002/cpa.21384. Full Text Open Access Copy

Lin, Lin, et al. “Optimized local basis set for Kohn–Sham density functional theory.” Journal of Computational Physics, vol. 231, no. 13, Elsevier BV, May 2012, pp. 4515–29. Crossref, doi:10.1016/j.jcp.2012.03.009. Full Text

Lin, Lin, et al. “Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation.” Journal of Computational Physics, vol. 231, no. 4, Elsevier BV, Feb. 2012, pp. 2140–54. Crossref, doi:10.1016/j.jcp.2011.11.032. Full Text Open Access Copy

E, Weinan, and Jianfeng Lu. “The Kohn-Sham equation for deformed crystals.” Memoirs of the American Mathematical Society, vol. 221, no. 1040, American Mathematical Society (AMS), 2012, pp. 1–1. Crossref, doi:10.1090/s0065-9266-2012-00659-9. Full Text

Pages