Math @ Duke

Research Interests for Jianfeng Lu
Research Interests:
Mathematical analysis and algorithm development for problems from
computational physics, theoretical chemistry, materials science and others.
More specifically:
Electronic structure and many body problems;
Multiscale modeling and analysis; and
Rare events and sampling techniques.  Areas of Interest:
Applied Mathematics Partial Differential Equations Probability Numerical Analysis Scientific Computing
 Recent Publications
 Lu, J; Steinerberger, S, Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function,
Potential Analysis, vol. 54 no. 4
(April, 2021),
pp. 687698 [doi] [abs]
 Stubbs, KD; Watson, AB; Lu, J, Iterated projected position algorithm for constructing exponentially localized generalized Wannier functions for periodic and nonperiodic insulators in two dimensions and higher,
Physical Review B, vol. 103 no. 7
(February, 2021) [doi] [abs]
 Lu, J; Otto, F, Optimal Artificial Boundary Condition for Random Elliptic Media,
Foundations of Computational Mathematics
(January, 2021) [doi] [abs]
 Han, J; Lu, J; Zhou, M, Solving highdimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach,
Journal of Computational Physics, vol. 423
(December, 2020) [doi] [abs]
 Lu, J; Lu, Y; Zhou, Z, Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics,
Journal of Computational Physics, vol. 423
(December, 2020) [doi] [abs]


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Mathematics Department
Duke University, Box 90320
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