Associate Professor of Mathematics
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.
FET: Small: Efficient Inference Tools for Quantum Systems: Algorithms, Applications, and Analysis awarded by National Science Foundation (Co-Principal Investigator). 2019 to 2022
Quantum Computing in Chemical and Material Sciences awarded by Department of Energy (Co-Principal Investigator). 2018 to 2021
CAREER: Research and training in advanced computational methods for quantum and statistical mechanics awarded by National Science Foundation (Principal Investigator). 2015 to 2020
Collaborative Research: SI2-SSI: ELSI-Infrastructure for Scalable Electronic Structure Theory awarded by National Science Foundation (Co-Principal Investigator). 2015 to 2020
Mathematical Problems for Electronic Structure Models awarded by National Science Foundation (Principal Investigator). 2013 to 2016
Wang, Zhe, et al. “Coordinate Descent Full Configuration Interaction..” Journal of Chemical Theory and Computation, vol. 15, no. 6, June 2019, pp. 3558–69. Epmc, doi:10.1021/acs.jctc.9b00138. Full Text
Liu, J. G., et al. “Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model.” Physica D: Nonlinear Phenomena, vol. 393, June 2019, pp. 54–67. Scopus, doi:10.1016/j.physd.2019.01.004. Full Text Open Access Copy
Cao, Y., et al. “Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance.” Journal of Mathematical Physics, vol. 60, no. 5, May 2019. Scopus, doi:10.1063/1.5083065. Full Text
Lu, J., and E. Vanden-Eijnden. “Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit.” Journal of Statistical Physics, vol. 174, no. 3, Feb. 2019, pp. 715–33. Scopus, doi:10.1007/s10955-018-2210-y. Full Text Open Access Copy
Li, Yingzhou, and Jianfeng Lu. “Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods.” Transactions of Mathematics and Its Applications, vol. 3, no. 1, Oxford University Press (OUP), Feb. 2019, pp. 1–17. Crossref, doi:10.1093/imatrm/tnz001. Full Text Open Access Copy
Martinsson, A., et al. “The simulated tempering method in the infinite switch limit with adaptive weight learning.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 1, Jan. 2019. Scopus, doi:10.1088/1742-5468/aaf323. Full Text
Lu, J., et al. “Scaling limit of the Stein variational gradient descent: The mean field regime.” Siam Journal on Mathematical Analysis, vol. 51, no. 2, Jan. 2019, pp. 648–71. Scopus, doi:10.1137/18M1187611. Full Text
Huang, H., et al. “Learning interacting particle systems: Diffusion parameter estimation for aggregation equations.” Mathematical Models and Methods in Applied Sciences, vol. 29, no. 1, Jan. 2019, pp. 1–29. Scopus, doi:10.1142/S0218202519500015. Full Text Open Access Copy
Lu, J., et al. “Approximating pointwise products of Laplacian eigenfunctions.” Journal of Functional Analysis, Jan. 2019. Scopus, doi:10.1016/j.jfa.2019.05.025. Full Text
Gauckler, L., et al. “Trigonometric integrators for quasilinear wave equations.” Mathematics of Computation, vol. 88, no. 316, Jan. 2019, pp. 717–49. Scopus, doi:10.1090/mcom/3339. Full Text
Yu, Victor, et al. “ELSI: A unified software interface for Kohn-Sham electronic structure solvers.” Abstracts of Papers of the American Chemical Society, vol. 255, AMER CHEMICAL SOC, 2018.
Xian, Yin, et al. “CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM.” 2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), 2015, pp. 773–77.