Jianfeng Lu

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

Cai, Z, and Lu, J. "A Quantum Kinetic Monte Carlo Method for Quantum Many-Body Spin Dynamics." Siam Journal on Scientific Computing 40.3 (January 2018): B706-B722. Full Text Open Access Copy

Lu, J, and Thicke, K. "Cubic scaling algorithms for RPA correlation using interpolative separable density fitting." Journal of Computational Physics 351 (December 2017): 187-202. Full Text Open Access Copy

Cao, Y, and Lu, J. "Lindblad equation and its semiclassical limit of the Anderson-Holstein model." Journal of Mathematical Physics 58.12 (December 2017): 122105-122105. Full Text Open Access Copy

Li, L, Liu, J-G, and Lu, J. "Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem." Journal of Statistical Physics 169.2 (October 2017): 316-339. Full Text Open Access Copy

Li, Q, Lu, J, and Sun, W. "A convergent method for linear half-space kinetic equations." ESAIM: Mathematical Modelling and Numerical Analysis 51.5 (September 2017): 1583-1615. Full Text Open Access Copy

Lu, J, and Steinerberger, S. "A variation on the Donsker-Varadhan inequality for the principal eigenvalue." Proceedings. Mathematical, Physical, and Engineering Sciences 473.2204 (August 23, 2017): 20160877-null. Full Text Open Access Copy

Gao, Y, Liu, J-G, and Lu, J. "Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces." Journal of Nonlinear Science 27.3 (June 2017): 873-926. Full Text Open Access Copy

Li, C, Lu, J, and Yang, W. "On extending Kohn-Sham density functionals to systems with fractional number of electrons." The Journal of Chemical Physics 146.21 (June 2017): 214109-. Full Text

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