# 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

Quantum Computing in Chemical and Material Sciences awarded by Department of Energy (Co-Principal Investigator). 2018 to 2021

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

Martinsson, A, Lu, J, Leimkuhler, B, and Vanden-Eijnden, E. "The simulated tempering method in the infinite switch limit with adaptive weight learning." *Journal of Statistical Mechanics Theory and Experiment* (January 1, 2019). (Academic Article)
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Lu, J, and Vanden-Eijnden, E. "Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit(Accepted)." *Journal of Statistical Physics* (January 1, 2019).
Full Text Open Access Copy

Delgadillo, R, Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation in periodic media." *Asymptotic Analysis* 110.3-4 (November 19, 2018): 113-135.
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Cao, Y, and Lu, J. "Stochastic dynamical low-rank approximation method." *Journal of Computational Physics* 372 (November 1, 2018): 564-586.
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Chen, H, Lu, J, and Ortner, C. "Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding." *Archive for Rational Mechanics and Analysis* 230.2 (November 1, 2018): 701-733.
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Li, X, Liu, J, Lu, J, and Zhou, X. "Moderate deviation for random elliptic PDE with small noise." *Annals of Applied Probability* 28.5 (October 1, 2018): 2781-2813.
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Barthel, T, and Lu, J. "Fundamental Limitations for Measurements in Quantum Many-Body Systems." *Physical Review Letters* 121.8 (August 24, 2018).
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Huang, Y, Lu, J, and Ming, P. "A Concurrent Global–Local Numerical Method for Multiscale PDEs." *Journal of Scientific Computing* 76.2 (August 2018): 1188-1215.
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You, Z, Li, L, Lu, J, and Ge, H. "Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering." *The Journal of Chemical Physics* 149.8 (August 2018): 084114-null.
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Lin, L, Lu, J, and Vanden-Eijnden, E. "A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning)." *Communications on Pure and Applied Mathematics* 71.6 (June 2018): 1149-1177.
Full Text Open Access Copy

## Pages

Yu, V, Huhn, W, Lin, L, Lu, J, Vazquez-Mayagoitia, A, Yang, C, and Blum, V. "ELSI: A unified software interface for Kohn-Sham electronic structure solvers." 255th National Meeting and Exposition of the American-Chemical-Society (ACS) - Nexus of Food, Energy, and Water. March 18, 2018 - March 22, 2018. New Orleans, LA.: AMER CHEMICAL SOC, March 18, 2018.

Xian, Y, Thompson, A, Qiu, Q, Nolte, L, Nowacek, D, Lu, J, Calderbank, R, and IEEE, . "CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM." 2015.