# 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.

Lin, L, and Lu, J. "Decay estimates of discretized Green’s functions for Schrödinger type operators." *Science China Mathematics* 59.8 (August 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 2016): 194-210.
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Lu, J, and Ying, L. "Sparsifying preconditioner for soliton calculations." *Journal of Computational Physics* 315 (June 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 of the divide-and-conquer method for electronic structure calculations." *Mathematics of Computation* 85.302 (January 28, 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 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 2015): 1391-1430.
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Li, C, Lu, J, and Yang, W. "Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals." *The Journal of chemical physics* 143.22 (December 2015): 224110-.
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Li, Q, Lu, J, and Sun, W. "Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics." *Journal of Computational Physics* 292 (July 1, 2015): 141-167.
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Yang, H, Lu, J, Brown, WP, Daubechies, I, and Ying, L. "Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation." *IEEE Signal Processing Magazine* 32.4 (July 2015): 55-63.
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