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

Garcia-Cervera, CJ, Ren, W, Lu, J, and E, W. "Sequential multiscale modelling using sparse representation." Commun. Comput. Phys. 4 (2008): 1025-1033.

E, W, and Lu, J. "The Elastic Continuum Limit of the Tight Binding Model*." Chinese Annals of Mathematics, Series B 28.6 (December 2007): 665-676. Full Text

E, W, García-Cervera, CJ, and Lu, J. "A sub-linear scaling algorithm for computing the electronic structure of materials." Communications in Mathematical Sciences 5.4 (2007): 999-1026. Full Text

E, W, and Lu, J. "Seamless multiscale modeling via dynamics on fiber bundles." Communications in Mathematical Sciences 5.3 (2007): 649-663. Full Text

E, W, and Lu, J. "The continuum limit and QM-continuum approximation of quantum mechanical models of solids." Communications in Mathematical Sciences 5.3 (2007): 679-696. Full Text

E, W, Lu, J, and Yang, JZ. "Uniform accuracy of the quasicontinuum method." Physical Review B 74.21 (December 2006). Full Text

Pages