# Jianfeng Lu

## Associate Professor of Mathematics

###### Links

### Overview

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.

### Selected Grants

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

Huang, Y, Lu, J, and Ming, P. "A Concurrent Global–Local Numerical Method for Multiscale PDEs (Accepted)." *Journal of Scientific Computing* (February 20, 2018): 1-28.
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Lu, J, and Zhou, Z. "Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping." *The Journal of chemical physics* 148.6 (February 2018): 064110-.
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Dai, S, Li, B, and Lu, J. "Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation." *Archive for Rational Mechanics and Analysis* 227.1 (January 2018): 105-147.
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Lu, J, and Thicke, K. "Cubic scaling algorithms for RPA correlation using interpolative separable density fitting." *Journal of Computational Physics* 351 (December 2017): 187-202.
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Cao, Y, and Lu, J. "Lindblad equation and its semiclassical limit of the Anderson-Holstein model." *Journal of Mathematical Physics* 58.12 (December 1, 2017).
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Li, L, Liu, J-G, and Lu, J. "Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem." *Journal of Statistical Physics* 169.2 (October 2017): 316-339.
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Li, Q, Lu, J, and Sun, W. "A convergent method for linear half-space kinetic equations." *ESAIM: Mathematical Modelling and Numerical Analysis* 51.5 (September 2017): 1583-1615.
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Yu, VW-Z, Corsetti, F, García, A, Huhn, WP, Jacquelin, M, Jia, W, Lange, B, Lin, L, Lu, J, Mi, W, Seifitokaldani, A, Vázquez-Mayagoitia, Á, Yang, C, Yang, H, and Blum, V. "ELSI: A unified software interface for Kohn–Sham electronic structure solvers." *Computer Physics Communications* (September 2017).
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Lu, J, and Steinerberger, S. "A variation on the Donsker-Varadhan inequality for the principal eigenvalue." *Proceedings. Mathematical, physical, and engineering sciences* 473.2204 (August 23, 2017): 20160877-.
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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.
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