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, Jianfeng, and Zhennan Zhou. “Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics.The Journal of Chemical Physics, vol. 145, no. 12, Sept. 2016, p. 124109. Epmc, doi:10.1063/1.4963107. Full Text Open Access Copy

Li, X., and J. Lu. “Traction boundary conditions for molecular static simulations.” Computer Methods in Applied Mechanics and Engineering, vol. 308, Aug. 2016, pp. 310–29. Scopus, doi:10.1016/j.cma.2016.05.002. Full Text Open Access Copy

Lin, L., and J. Lu. “Decay estimates of discretized Green’s functions for Schrödinger type operators.” Science China Mathematics, vol. 59, no. 8, Aug. 2016, pp. 1561–78. Scopus, doi:10.1007/s11425-016-0311-4. Full Text Open Access Copy

Lai, R., and J. Lu. “Localized density matrix minimization and linear-scaling algorithms.” Journal of Computational Physics, vol. 315, June 2016, pp. 194–210. Scopus, doi:10.1016/j.jcp.2016.02.076. Full Text Open Access Copy

Lu, J., and L. Ying. “Sparsifying preconditioner for soliton calculations.” Journal of Computational Physics, vol. 315, June 2016, pp. 458–66. Scopus, doi:10.1016/j.jcp.2016.03.061. Full Text Open Access Copy

Lu, J., et al. “Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis.” Journal of the Mechanics and Physics of Solids, vol. 89, Apr. 2016, pp. 194–210. Scopus, doi:10.1016/j.jmps.2016.01.002. Full Text Open Access Copy

Chen, J., and J. Lu. “Analysis 0f the divide-and-conquer method for electronic structure calculations.” Mathematics of Computation, vol. 85, no. 302, Jan. 2016, pp. 2919–38. Scopus, doi:10.1090/mcom/3066. Full Text Open Access Copy

Delgadillo, R., et al. “Gauge-invariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials.” Siam Journal on Scientific Computing, vol. 38, no. 4, Jan. 2016, pp. A2440–63. Scopus, doi:10.1137/15M1040384. Full Text Open Access Copy

Lu, J., et al. “Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene.” Journal of Nonlinear Science, vol. 25, no. 6, Dec. 2015, pp. 1391–430. Scopus, doi:10.1007/s00332-015-9259-4. Full Text Open Access Copy

Li, Chen, et al. “Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals.The Journal of Chemical Physics, vol. 143, no. 22, Dec. 2015, p. 224110. Epmc, doi:10.1063/1.4936411. Full Text

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