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

Lu, J., and J. L. Marzuola. “Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics.” Communications in Mathematical Sciences, vol. 13, no. 5, Jan. 2015, pp. 1051–74. Scopus, doi:10.4310/CMS.2015.v13.n5.a1. Full Text Open Access Copy

Lai, R., et al. “Density matrix minimization with ℓ1 regularization.” Communications in Mathematical Sciences, vol. 13, no. 8, Jan. 2015, pp. 2097–117. Scopus, doi:10.4310/CMS.2015.v13.n8.a6. Full Text Open Access Copy

Yang, H., et al. “Crystal image analysis using 2D synchrosqueezed transforms.” Multiscale Modeling and Simulation, vol. 13, no. 4, Jan. 2015, pp. 1542–72. Scopus, doi:10.1137/140955872. Full Text Open Access Copy

Lu, J., and L. Ying. “Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost.” Journal of Computational Physics, vol. 302, 2015, pp. 329–35. Scival, doi:10.1016/j.jcp.2015.09.014. Full Text Open Access Copy

Lu, Jianfeng, and Felix Otto. “Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model.” Communications on Pure and Applied Mathematics, vol. 67, no. 10, Wiley, Oct. 2014, pp. 1605–17. Crossref, doi:10.1002/cpa.21477. Full Text

Yang, Yang, et al. “Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies.” The Journal of Chemical Physics, vol. 141, no. 12, AIP Publishing, Sept. 2014, pp. 124104–124104. Crossref, doi:10.1063/1.4895792. Full Text

Lu, Jianfeng, and Eric Vanden-Eijnden. “Exact dynamical coarse-graining without time-scale separation.” The Journal of Chemical Physics, vol. 141, no. 4, AIP Publishing, July 2014, pp. 044109–044109. Crossref, doi:10.1063/1.4890367. Full Text

E, W., and J. Lu. “Mathematical theory of solids: From quantum mechanics to continuum models.” Discrete and Continuous Dynamical Systems, vol. 34, no. 12, June 2014, pp. 5085–97. Manual, doi:10.3934/dcds.2014.34.5085. Full Text

Kohn, R. V., et al. “A variational perspective on cloaking by anomalous localized resonance.” Communications in Mathematical Physics, vol. 328, no. 1, Mar. 2014, pp. 1–27. Scopus, doi:10.1007/s00220-014-1943-y. Full Text Open Access Copy

Lin, L., et al. “Analysis of time reversible born-oppenheimer molecular dynamics.” Entropy, vol. 16, no. 1, Jan. 2014, pp. 110–37. Scopus, doi:10.3390/e16010110. Full Text Open Access Copy