# 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.

Li, XH, and Lu, J. "Quasi-nonlocal Coupling of Nonlocal Diffusions." *SIAM Journal on Numerical Analysis* 55.5 (January 2017): 2394-2415.
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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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Mendl, CB, Lu, J, and Lukkarinen, J. "Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory." *Physical review. E* 94.6-1 (December 2, 2016): 062104-.
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Li, Q, Lu, J, and Sun, W. "Half-space kinetic equations with general boundary conditions." *Mathematics of Computation* 86.305 (October 12, 2016): 1269-1301.
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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 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 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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