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


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


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

Yingzhou, L. I., et al. “Coordinatewise descent methods for leading eigenvalue problem.” Siam Journal on Scientific Computing, vol. 41, no. 4, Jan. 2019, pp. A2681–716. Scopus, doi:10.1137/18M1202505. Full Text

Agazzi, Andrea, and Jianfeng Lu. “Temporal-difference learning for nonlinear value function approximation in the lazy training regime.Corr, vol. abs/1905.10917, 2019.

Huang, H., et al. “Learning interacting particle systems: Diffusion parameter estimation for aggregation equations.” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 1, Jan. 2019, pp. 1–29. Scopus, doi:10.1142/S0218202519500015. Full Text Open Access Copy

Lu, J., et al. “Scaling limit of the Stein variational gradient descent: The mean field regime.” Siam Journal on Mathematical Analysis, vol. 51, no. 2, Jan. 2019, pp. 648–71. Scopus, doi:10.1137/18M1187611. Full Text

Zhu, Wei, et al. “Stop Memorizing: A Data-Dependent Regularization Framework for Intrinsic Pattern Learning.Siam J. Math. Data Sci., vol. 1, 2019, pp. 476–96.

Gauckler, L., et al. “Trigonometric integrators for quasilinear wave equations.” Mathematics of Computation, vol. 88, no. 316, Jan. 2019, pp. 717–49. Scopus, doi:10.1090/mcom/3339. Full Text

Chen, H., et al. “Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding.” Archive for Rational Mechanics and Analysis, vol. 230, no. 2, Nov. 2018, pp. 701–33. Scopus, doi:10.1007/s00205-018-1256-y. Full Text Open Access Copy

Cao, Y., and J. Lu. “Stochastic dynamical low-rank approximation method.” Journal of Computational Physics, vol. 372, Nov. 2018, pp. 564–86. Scopus, doi:10.1016/j.jcp.2018.06.058. Full Text

Li, X., et al. “Moderate deviation for random elliptic PDE with small noise.” Annals of Applied Probability, vol. 28, no. 5, Oct. 2018, pp. 2781–813. Scopus, doi:10.1214/17-AAP1373. Full Text Open Access Copy

Lu, J., and S. Steinerberger. “Detecting localized eigenstates of linear operators.” Research in Mathematical Sciences, vol. 5, no. 3, Sept. 2018. Scopus, doi:10.1007/s40687-018-0152-2. Full Text Open Access Copy