# 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

##### Links

### Research Areas and Keywords

##### Analysis

##### Computational Mathematics

##### Mathematical Physics

##### PDE & Dynamical Systems

##### Physical Modeling

##### Probability

##### 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.

### 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

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.
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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 2018): 080406-null.
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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.
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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.
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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. (Academic Article)
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.

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 »