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Math @ Duke





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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
  1. Han, J; Lu, J; Zhou, M, Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach, Journal of Computational Physics, vol. 423 (December, 2020) [doi[abs]
  2. 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]
  3. Sen, D; Sachs, M; Lu, J; Dunson, DB, Efficient posterior sampling for high-dimensional imbalanced logistic regression, Biometrika, vol. 107 no. 4 (December, 2020), pp. 1005-1012, Oxford University Press (OUP) [doi[abs]
  4. Cai, Z; Lu, J; Yang, S, Inchworm Monte Carlo Method for Open Quantum Systems, Communications on Pure and Applied Mathematics, vol. 73 no. 11 (November, 2020), pp. 2430-2472 [doi[abs]
  5. Yu, VWZ; Campos, C; Dawson, W; García, A; Havu, V; Hourahine, B; Huhn, WP; Jacquelin, M; Jia, W; Keçeli, M; Laasner, R; Li, Y; Lin, L; Lu, J; Moussa, J; Roman, JE; Vázquez-Mayagoitia, Á; Yang, C; Blum, V, ELSI — An open infrastructure for electronic structure solvers, Computer Physics Communications, vol. 256 (November, 2020), pp. 107459-107459, Elsevier BV [doi[abs]

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320