- Associate Professor of Mathematics
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, 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
Chen, H, Lu, J, and Ortner, C. "Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding." Open Access Copy
Liu, J-G, Lu, J, Margetis, D, and Marzuola, JL. "Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model." Open Access Copy
Cai, Z, Lu, J, and Stubbs, K. "On discrete Wigner transforms."
Cao, Y, and Lu, J. "Stochastic dynamical low-rank approximation method."
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
Khoo, Y, Lu, J, and Ying, L. "Solving for high dimensional committor functions using artificial neural networks."