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    Now showing items 11-20 of 93

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    Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory. 

    Mendl, CB; Lu, Jianfeng; Lukkarinen, J (Phys Rev E, 2016-12)
    We perform microscopic molecular dynamics simulations of particle chains with an onsite anharmonicity to study relaxation of spatially homogeneous states to equilibrium, and directly compare the simulations with the corresponding ...
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    Reactive trajectories and the transition path process 

    Lu, Jianfeng; Nolen, James H (Probability Theory and Related Fields, 2014-01-01)
    © 2014, Springer-Verlag Berlin Heidelberg.We study the trajectories of a solution (formula presented) to an Itô stochastic differential equation in (formula presented), as the process passes between two disjoint open sets, ...
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    Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems 

    Car, R; Lin, L; Lu, Jianfeng; Weinan, E (Physical Review B - Condensed Matter and Materials Physics, 2009-03-03)
    We propose a multipole representation of the Fermi-Dirac function and the Fermi operator and use this representation to develop algorithms for electronic structure analysis of metallic systems. The algorithm is quite simple ...
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    Interaction Between the FOXO1A-209 Genotype and Tea Drinking Is Significantly Associated with Reduced Mortality at Advanced Ages. 

    Bolund, L; Chen, H; Feng, L; Gottschalk, William Kirby; Gregory, Simon Gray; Gu, J; Hauser, Elizabeth Rebecca; ... (29 authors) (Rejuvenation Res, 2016-06)
    On the basis of the genotypic/phenotypic data from Chinese Longitudinal Healthy Longevity Survey (CLHLS) and Cox proportional hazard model, the present study demonstrates that interactions between carrying FOXO1A-209 genotypes ...
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    Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms 

    Lu, Jianfeng; Zhou, Zhennan (2017-04-23)
    We develop a surface hopping algorithm based on frozen Gaussian approximation for semiclassical matrix Schr\"odinger equations, in the spirit of Tully's fewest switches surface hopping method. The algorithm is asymptotically ...
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    Randomized sampling for basis functions construction in generalized finite element methods 

    Chen, K; Li, Q; Lu, Jianfeng; Wright, SJ (2018-02-14)
    In the context of generalized finite element methods for elliptic equations with rough coefficients $a(x)$, efficiency and accuracy of the numerical method depend critically on the use of appropriate basis functions. This ...
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    Detecting localized eigenstates of linear operators 

    Lu, Jianfeng; Steinerberger, S (2017-11-30)
    We describe a way of detecting the location of localized eigenvectors of a linear system $Ax = \lambda x$ for eigenvalues $\lambda$ with $|\lambda|$ comparatively large. We define the family of functions $f_{\alpha}: \left\{1.2. ...
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    Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation 

    Lu, Jianfeng; Mendl, CB (Journal of Computational Physics, 2015-06-05)
    © 2015 Elsevier Inc.We develop an efficient algorithm for a spatially inhomogeneous matrix-valued quantum Boltzmann equation derived from the Hubbard model. The distribution functions are 2 × 2 matrix-valued to accommodate ...
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    Fast construction of hierarchical matrix representation from matrix-vector multiplication 

    Lin, L; Lu, Jianfeng; Ying, L (Journal of Computational Physics, 2011-05-10)
    We develop a hierarchical matrix construction algorithm using matrix-vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses O(logn) applications of the matrix ...
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    Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene 

    Lu, Jianfeng; Moroz, V; Muratov, CB (Journal of Nonlinear Science, 2015-12-01)
    © 2015, Springer Science+Business Media New York.We propose a density functional theory of Thomas–Fermi–Dirac–von Weizsäcker type to describe the response of a single layer of graphene resting on a dielectric substrate to ...
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    Lu, Jianfeng (93)
    Ying, L (11)Lin, L (10)Yang, Haizhao (9)Li, Q (6)Liu, J-G (5)Weinan, E (5)Yang, X (5)Zhou, Zhennan (5)Daubechies, Ingrid (4)... View MoreDate Issued2017 (42)2015 (12)2016 (12)2012 (4)2014 (4)2018 (4)2009 (2)2010 (2)2011 (2)2013 (2)TypeJournal article (93)Subjectmath.NA (27)math-ph (12)math.MP (12)math.AP (9)physics.chem-ph (9)physics.comp-ph (9)math.PR (6)Humans (4)quant-ph (3)China (2)... View MoreAffiliation of Duke Author(s)
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    Trinity College of Arts & Sciences (88)Mathematics (87)Chemistry (83)Physics (82)Temp group - logins allowed (8)School of Medicine (5)Clinical Science Departments (4)Institutes and Centers (4)Medicine (4)... View More