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
 Li, L; Liu, JG; Lu, J, Fractional Stochastic Differential Equations Satisfying FluctuationDissipation Theorem,
Journal of Statistical Physics, vol. 169 no. 2
(October, 2017),
pp. 316339 [doi] [abs]
 Lu, J; Steinerberger, S, A variation on the DonskerVaradhan inequality for the principal eigenvalue.,
Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, vol. 473 no. 2204
(August, 2017),
pp. 20160877 [doi] [abs]
 Lu, J; Yang, H, A cubic scaling algorithm for excited states calculations in particleâ€“particle random phase approximation,
Journal of Computational Physics, vol. 340
(July, 2017),
pp. 297308 [doi]
 Gao, Y; Liu, JG; Lu, J, Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces,
Journal of Nonlinear Science, vol. 27 no. 3
(June, 2017),
pp. 873926 [doi]
 Li, C; Lu, J; Yang, W, On extending KohnSham density functionals to systems with fractional number of electrons.,
Journal of Chemical Physics, vol. 146 no. 21
(June, 2017),
pp. 214109 [doi] [abs]


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Mathematics Department
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