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

Lu, J, and Vanden-Eijnden, E. "Exact dynamical coarse-graining without time-scale separation." The Journal of Chemical Physics 141.4 (July 28, 2014): 044109-044109. Full Text

E, W, and Lu, J. "Mathematical theory of solids: From quantum mechanics to continuum models." Discrete and Continuous Dynamical Systems 34.12 (June 2014): 5085-5097. Full Text

Kohn, RV, Lu, J, Schweizer, B, and Weinstein, MI. "A Variational Perspective on Cloaking by Anomalous Localized Resonance." Communications in Mathematical Physics 328.1 (May 2014): 1-27. Full Text Open Access Copy

Lin, L, Lu, J, and Shao, S. "Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics." Entropy 16.1 (January 2014): 110-137. Full Text Open Access Copy

Lu, J, and Ming, P. "Stability Of A Force-Based Hybrid Method With Planar Sharp Interface." SIAM Journal on Numerical Analysis 52.4 (January 2014): 2005-2026. Full Text Open Access Copy

Lu, J, and Otto, F. "Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model." Communications on Pure and Applied Mathematics 67.10 (2014): 1605-1617. Full Text

Lu, J, and Ming, P. "Convergence of a Force-Based Hybrid Method in Three Dimensions." Communications on Pure and Applied Mathematics 66.1 (January 2013): 83-108. Full Text Open Access Copy

E, W, Lu, JF, and Yang, X. "Asymptotic analysis of quantum dynamics in crystals: The Bloch-Wigner transform, Bloch dynamics and Berry phase." Acta Mathematicae Applicatae Sinica 29.3 (2013): 465-476. Full Text

E, W, Lu, J, and Yao, Y. "The landscape of complex networks: Critical nodes and a hierarchical decomposition." Methods and Applications of Analysis 20.4 (2013): 383-404. Full Text

Pages