# 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.

Yu, T-Q, Lu, J, Abrams, CF, and Vanden-Eijnden, E. "Multiscale implementation of infinite-swap replica exchange molecular dynamics." *Proceedings of the National Academy of Sciences of the United States of America* 113.42 (October 3, 2016): 11744-11749. (Review)
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Lu, J, and Zhou, Z. "Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics." *The Journal of chemical physics* 145.12 (September 2016): 124109-.
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Li, X, and Lu, J. "Traction boundary conditions for molecular static simulations." *Computer Methods in Applied Mechanics and Engineering* 308 (August 15, 2016): 310-329.
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Lin, L, and Lu, J. "Decay estimates of discretized Green’s functions for Schrödinger type operators." *Science China Mathematics* 59.8 (August 1, 2016): 1561-1578.
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Lai, R, and Lu, J. "Localized density matrix minimization and linear-scaling algorithms." *Journal of Computational Physics* 315 (June 15, 2016): 194-210.
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Lu, J, and Ying, L. "Sparsifying preconditioner for soliton calculations." *Journal of Computational Physics* 315 (June 15, 2016): 458-466.
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Lu, J, Wirth, B, and Yang, H. "Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis." *Journal of the Mechanics and Physics of Solids* 89 (April 1, 2016): 194-210.
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Chen, J, and Lu, J. "Analysis 0f the divide-and-conquer method for electronic structure calculations." *Mathematics of Computation* 85.302 (January 1, 2016): 2919-2938.
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Delgadillo, R, Lu, J, and Yang, X. "Gauge-invariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials." *Siam Journal on Scientific Computing* 38.4 (January 1, 2016): A2440-A2463.
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Lu, J, Moroz, V, and Muratov, CB. "Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene." *Journal of Nonlinear Science* 25.6 (December 1, 2015): 1391-1430.
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