- 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.
Lin, L, Lu, J, Ying, L, Car, R, and E, W. "Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems." Commun. Math. Sci. 7 (2009): 755-777.
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
Lu, J, and Zhou, Z. "Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms." Open Access Copy
Lu, J, and Zhou, Z. "Bloch dynamics with second order Berry phase correction." Open Access Copy
Nishimura, A, Dunson, D, and Lu, J. "Discontinuous Hamiltonian Monte Carlo for sampling discrete parameters."