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

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

Lin, L, and Lu, J. "Decay estimates of discretized Green’s functions for Schrödinger type operators." Science China Mathematics 59.8 (August 2016): 1561-1578. Full Text Open Access Copy

Lai, R, and Lu, J. "Localized density matrix minimization and linear-scaling algorithms." Journal of Computational Physics 315 (June 2016): 194-210. Full Text Open Access Copy

Lu, J, and Ying, L. "Sparsifying preconditioner for soliton calculations." Journal of Computational Physics 315 (June 2016): 458-466. Full Text Open Access Copy

Lu, J, Wirth, B, and Yang, H. "Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis." Journal of the Mechanics and Physics of Solids 89 (April 1, 2016): 194-210. Full Text Open Access Copy

Chen, J, and Lu, J. "Analysis of the divide-and-conquer method for electronic structure calculations." Mathematics of Computation 85.302 (January 28, 2016): 2919-2938. Full Text Open Access Copy

Delgadillo, R, Lu, J, and Yang, X. "Gauge-Invariant Frozen Gaussian Approximation Method for the Schrödinger Equation with Periodic Potentials." SIAM Journal on Scientific Computing 38.4 (January 2016): A2440-A2463. Full Text Open Access Copy

Lu, J, Moroz, V, and Muratov, CB. "Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene." Journal of Nonlinear Science 25.6 (December 2015): 1391-1430. Full Text Open Access Copy

Li, C, Lu, J, and Yang, W. "Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals." The Journal of Chemical Physics 143.22 (December 2015): 224110-. Full Text

Yang, H, Lu, J, Brown, WP, Daubechies, I, and Ying, L. "Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation." IEEE Signal Processing Magazine 32.4 (July 2015): 55-63. Full Text Open Access Copy

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