- 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.
Gao, Y, Liu, J-G, and Lu, J. "Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime." SIAM Journal on Mathematical Analysis 49.3 (January 2017): 1705-1731. Full Text Open Access Copy
Mendl, CB, Lu, J, and Lukkarinen, J. "Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory." Physical review. E 94.6-1 (December 2, 2016): 062104-. Full Text Open Access Copy
Li, Q, Lu, J, and Sun, W. "Half-space kinetic equations with general boundary conditions." Mathematics of Computation 86.305 (October 12, 2016): 1269-1301. Full Text Open Access Copy
Yu, T-Q, Lu, J, Abrams, CF, and Vanden-Eijnden, E. "Multiscale implementation of infinite-swap replica exchange molecular dynamics." Proceedings of the National Academy of Sciences of the United States of America 113.42 (October 3, 2016): 11744-11749. (Review) Full Text
Lu, J, and Zhou, Z. "Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics." The Journal of chemical physics 145.12 (September 2016): 124109-. Full Text Open Access Copy
Li, X, and Lu, J. "Traction boundary conditions for molecular static simulations." Computer Methods in Applied Mechanics and Engineering 308 (August 2016): 310-329. Full Text Open Access Copy
Lin, L, and Lu, J. "Decay estimates of discretized Green’s functions for Schrödinger type operators." Science China Mathematics 59.8 (August 2016): 1561-1578. Full Text Open Access Copy
Lai, R, and Lu, J. "Localized density matrix minimization and linear-scaling algorithms." Journal of Computational Physics 315 (June 2016): 194-210. Full Text Open Access Copy
Lu, J, and Ying, L. "Sparsifying preconditioner for soliton calculations." Journal of Computational Physics 315 (June 2016): 458-466. Full Text Open Access Copy