Jianfeng Lu

Jianfeng Lu
  • Associate Professor of Mathematics
  • Associate Professor of Chemistry (Secondary)
  • Associate Professor of Physics (Secondary)
External address: 242 Physics Bldg, 120 Science Drive, Durham, NC 27708
Internal office address: Mathematics Department, Duke University, Box 90320, Durham, NC 27708
Phone: (919) 660-2875

Research Areas and Keywords

Analysis
electronic structure models, calculus of variations, semiclassical analysis
Computational Mathematics
electronic structure models, multiscale modeling and simulations, numerical analysis, rare events simulation, computational physics, time-frequency analysis, fast algorithms, stochastic numerical methods, kinetic equations, nonlinear Schrodinger equations, quantum chemistry, computational statistical mechanics, optimization, high frequency wave propagation
Mathematical Physics
electronic structure models, quantum chemistry, kinetic theory, quantum information
PDE & Dynamical Systems
multiscale modeling and simulations, numerical analysis, calculus of variations, kinetic equations, Schroedinger equations
Physical Modeling
electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics
Probability
rare events simulation, computational statistical mechanics, stochastic numerical methods
Signals, Images & Data
time-frequency analysis, fast algorithms, optimization, applied harmonic analysis

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

CAREER: Research and training in advanced computational methods for quantum and statistical mechanics awarded by National Science Foundation (Principal Investigator). 2015 to 2020

Quantum Computing in Chemical and Material Sciences awarded by Department of Energy (Co-Principal Investigator). 2018 to 2019

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

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

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

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

Barthel, T, and Lu, J. "Fundamental Limitations for Measurements in Quantum Many-Body Systems." Physical Review Letters 121.8 (August 2018): 080406-null. Full Text

Lu, J, and Zhou, Z. "Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping." The Journal of Chemical Physics 148.6 (February 2018): 064110-null. Full Text Open Access Copy

Cai, Z, and Lu, J. "A surface hopping Gaussian beam method for high-dimensional transport systems." Siam Journal on Scientific Computing 40.5 (January 1, 2018): B1277-B1301. Full Text Open Access Copy

Lu, J, and Yang, H. "Phase-space sketching for crystal image analysis based on synchrosqueezed transforms." Siam Journal on Imaging Sciences 11.3 (January 1, 2018): 1954-1978. Full Text Open Access Copy

Dai, S, Li, B, and Lu, J. "Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation." Archive for Rational Mechanics and Analysis 227.1 (January 2018): 105-147. Full Text Open Access Copy

Du, Q, Li, XH, Lu, J, and Tian, X. "A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models." Siam Journal on Numerical Analysis 56.3 (January 2018): 1386-1404. Full Text Open Access Copy

Pages

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.

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.

Jianfeng Lu Awarded the 2017 IMA Prize in Mathematics and its Applications

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 »


Jianfeng Lu's mathematical studies put numbers to work for researchers in materials science, physics, chemistry and other fields. Photo by Les Todd/Duke University Photography

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 »