Jianfeng Lu

Jianfeng Lu

Associate Professor of Mathematics

Office Location: 
242 Physics Bldg, 120 Science Drive, Durham, NC 27708
Front Office Address: 
Mathematics Department, Duke University, Box 90320, Durham, NC 27708
(919) 660-2875


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.

Education & Training

  • Ph.D., Princeton University 2009

Selected Grants

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 2019

Mathematical Problems for Electronic Structure Models awarded by National Science Foundation (Principal Investigator). 2013 to 2016

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 (January 1, 2019). (Academic Article) 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

Cao, Y, and Lu, J. "Stochastic dynamical low-rank approximation method." Journal of Computational Physics 372 (November 1, 2018): 564-586. 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

Li, X, Liu, J, Lu, J, and Zhou, X. "Moderate deviation for random elliptic PDE with small noise." Annals of Applied Probability 28.5 (October 1, 2018): 2781-2813. Full Text Open Access Copy

Barthel, T, and Lu, J. "Fundamental Limitations for Measurements in Quantum Many-Body Systems." Physical Review Letters 121.8 (August 24, 2018). Full Text

Huang, Y, Lu, J, and Ming, P. "A Concurrent Global–Local Numerical Method for Multiscale PDEs." Journal of Scientific Computing 76.2 (August 2018): 1188-1215. Full Text

You, Z, Li, L, Lu, J, and Ge, H. "Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering." The Journal of Chemical Physics 149.8 (August 2018): 084114-null. Full Text

Lin, L, Lu, J, and Vanden-Eijnden, E. "A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning)." Communications on Pure and Applied Mathematics 71.6 (June 2018): 1149-1177. Full Text Open Access Copy


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.