# 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.

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

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

Gao, Y, Liu, J-G, and Lu, J. "Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces." *Journal of Nonlinear Science* 27.3 (June 2017): 873-926.
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Li, C, Lu, J, and Yang, W. "On extending Kohn-Sham density functionals to systems with fractional number of electrons." *The Journal of chemical physics* 146.21 (June 2017): 214109-.
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Lu, J, and Thicke, K. "Orbital minimization method with ℓ 1 regularization." *Journal of Computational Physics* 336 (May 2017): 87-103.
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Lu, J, and Zhou, Z. "Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems." *The Journal of chemical physics* 146.15 (April 2017): 154110-.
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Watson, AB, Lu, J, and Weinstein, MI. "Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature." *Journal of Mathematical Physics* 58.2 (February 2017): 021503-021503.
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Niu, X, Luo, T, Lu, J, and Xiang, Y. "Dislocation climb models from atomistic scheme to dislocation dynamics." *Journal of the Mechanics and Physics of Solids* 99 (February 2017): 242-258.
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Gao, Y, Liu, J-G, and Lu, J. "Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime." *SIAM Journal on Mathematical Analysis* 49.3 (January 2017): 1705-1731.
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Li, Q, Lu, J, and Sun, W. "Validity and Regularization of Classical Half-Space Equations." *Journal of Statistical Physics* 166.2 (January 2017): 398-433.
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Cornelis, B, Yang, H, Goodfriend, A, Ocon, N, Lu, J, and Daubechies, I. "Removal of Canvas Patterns in Digital Acquisitions of Paintings." *IEEE transactions on image processing : a publication of the IEEE Signal Processing Society* 26.1 (January 2017): 160-171.
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## Pages

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 »