# 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

Lai, R, Lu, J, and Osher, S. "Density matrix minimization with ${\ell}_1$ regularization." Communications in Mathematical Sciences 13.8 (2015): 2097-2117. 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 (October 2014): 1605-1617. Full Text

Yang, Y, Peng, D, Lu, J, and Yang, W. "Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies." The Journal of Chemical Physics 141.12 (September 28, 2014): 124104-124104. Full Text

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

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

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