# 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.

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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Lu, J, and Mendl, CB. "Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation." *Journal of Computational Physics* 291 (June 2015): 303-316.
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Lu, J, Liu, J-G, and Margetis, D. "Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions." *Physical review. E, Statistical, nonlinear, and soft matter physics* 91.3 (March 4, 2015): 032403-.
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Lu, J, and Nolen, J. "Reactive trajectories and the transition path process." *Probability Theory and Related Fields* 161.1-2 (February 2015): 195-244.
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Lu, J, and Marzuola, JL. "Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics." *Communications in Mathematical Sciences* 13.5 (2015): 1051-1074.
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Lai, R, Lu, J, and Osher, S. "Density matrix minimization with ${\ell}_1$ regularization." *Communications in Mathematical Sciences* 13.8 (2015): 2097-2117.
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Lu, J, and Ying, L. "Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost." *Journal of Computational Physics* 302 (2015): 329-335.
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