# Jianfeng Lu

- Associate Professor of Mathematics

**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

Huang, Y, Lu, J, and Ming, P. "A Concurrent Global–Local Numerical Method for Multiscale PDEs (Accepted)." *Journal of Scientific Computing* (February 20, 2018): 1-28.
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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-.
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.
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Lu, J, and Thicke, K. "Cubic scaling algorithms for RPA correlation using interpolative separable density fitting." *Journal of Computational Physics* 351 (December 2017): 187-202.
Full Text Open Access Copy

Cao, Y, and Lu, J. "Lindblad equation and its semiclassical limit of the Anderson-Holstein model." *Journal of Mathematical Physics* 58.12 (December 1, 2017).
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Li, L, Liu, J-G, and Lu, J. "Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem." *Journal of Statistical Physics* 169.2 (October 2017): 316-339.
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Li, Q, Lu, J, and Sun, W. "A convergent method for linear half-space kinetic equations." *ESAIM: Mathematical Modelling and Numerical Analysis* 51.5 (September 2017): 1583-1615.
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Yu, VW-Z, Corsetti, F, García, A, Huhn, WP, Jacquelin, M, Jia, W, Lange, B, Lin, L, Lu, J, Mi, W, Seifitokaldani, A, Vázquez-Mayagoitia, Á, Yang, C, Yang, H, and Blum, V. "ELSI: A unified software interface for Kohn–Sham electronic structure solvers." *Computer Physics Communications* (September 2017).
Full Text Open Access Copy

Lu, J, and Steinerberger, S. "A variation on the Donsker-Varadhan inequality for the principal eigenvalue." *Proceedings. Mathematical, physical, and engineering sciences* 473.2204 (August 23, 2017): 20160877-.
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Lu, J, and Yang, H. "A cubic scaling algorithm for excited states calculations in particle–particle random phase approximation." *Journal of Computational Physics* 340 (July 2017): 297-308.
Full Text Open Access Copy

## Pages

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 »