- 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.
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
Liu, JG, Lu, J, Margetis, D, and Marzuola, JL. "Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model(Accepted)." Physica D: Nonlinear Phenomena 393 (June 1, 2019): 54-67. Full Text Open Access Copy
Lu, J, and Vanden-Eijnden, E. "Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit." Journal of Statistical Physics 174.3 (February 15, 2019): 715-733. Full Text Open Access Copy
Li, Y, and Lu, J. "Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods." Transactions of Mathematics and Its Applications 3.1 (February 1, 2019): 1-17. Full Text Open Access Copy
Martinsson, A, Lu, J, Leimkuhler, B, and Vanden-Eijnden, E. "The simulated tempering method in the infinite switch limit with adaptive weight learning." Journal of Statistical Mechanics: Theory and Experiment 2019.1 (January 16, 2019). Full Text
Huang, H, Liu, JG, and Lu, J. "Learning interacting particle systems: Diffusion parameter estimation for aggregation equations." Mathematical Models and Methods in Applied Sciences 29.1 (January 1, 2019): 1-29. Full Text Open Access Copy
Gauckler, L, Lu, J, Marzuola, JL, Rousset, F, and Schratz, K. "Trigonometric integrators for quasilinear wave equations." Mathematics of Computation 88.316 (January 1, 2019): 717-749. Full Text
Lu, J, Lu, Y, and Nolen, J. "Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime." Siam Journal on Mathematical Analysis 51.2 (January 2019): 648-671. Full Text
Delgadillo, R, Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation in periodic media." Asymptotic Analysis 110.3-4 (November 19, 2018): 113-135. Full Text
Chen, H, Lu, J, and Ortner, C. "Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding." Archive for Rational Mechanics and Analysis 230.2 (November 1, 2018): 701-733. Full Text Open Access Copy
Cao, Y, and Lu, J. "Stochastic dynamical low-rank approximation method." Journal of Computational Physics 372 (November 1, 2018): 564-586. Full Text
Yu, V, Huhn, W, Lin, L, Lu, J, Vazquez-Mayagoitia, A, Yang, C, and Blum, V. "ELSI: A unified software interface for Kohn-Sham electronic structure solvers." 255th National Meeting and Exposition of the American-Chemical-Society (ACS) - Nexus of Food, Energy, and Water. March 18, 2018 - March 22, 2018. New Orleans, LA.: AMER CHEMICAL SOC, March 18, 2018.
Xian, Y, Thompson, A, Qiu, Q, Nolte, L, Nowacek, D, Lu, J, Calderbank, R, and IEEE, . "CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM." 2015.
The 2017 IMA Prize in Mathematics and its Applications has been awarded to Jianfeng Lu, an associate professor in the Department of Mathematics at Duke University, with secondary appointments in the Departments of Chemistry and Physics. Lu received... read more »
New faculty member applies math to solve some of the hardest questions in science Durham, NC - As a mathematician, Jianfeng Lu appreciates the abstract beauty of theories and proofs. But he also sees his craft as a powerful, pragmatic tool for... read more »