- Associate Professor of Mathematics
- Associate Professor of Chemistry (Secondary)
- Associate Professor of Physics (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
Signals, Images & Data
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.
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, 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
Khoo, Y, Lu, J, and Ying, L. "Efficient construction of tensor ring representations from sampling." Open Access Copy
Li, X, Lin, L, and Lu, J. "PEXSI-$Σ$: A Green's function embedding method for Kohn-Sham density functional theory." Open Access Copy
Delgadillo, R, Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation in periodic media."
Lin, L, Lu, J, and Vanden-Eijnden, E. "A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning) (Published online)." Communications on Pure and Applied Mathematics. Full Text Open Access Copy
Lu, J, and Vanden-Eijnden, E. "Methodological and computational aspects of parallel tempering methods in the infinite swapping limit." Open Access Copy