Math @ Duke

 Lu, J; VandenEijnden, E, Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit,
Journal of Statistical Physics, vol. 174 no. 3
(February, 2019),
pp. 715733 [doi] [abs]
 Li, Y; Lu, J, Bold diagrammatic Monte Carlo in the lens of stochastic iterative methods,
Transactions of Mathematics and Its Applications, vol. 3 no. 1
(February, 2019),
pp. 117, Oxford University Press (OUP) [doi]
 Martinsson, A; Lu, J; Leimkuhler, B; VandenEijnden, E, The simulated tempering method in the infinite switch limit with adaptive weight learning,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2019 no. 1
(January, 2019),
pp. 013207013207, IOP Publishing [doi] [abs]
 Liu, JG; Lu, J; Margetis, D; Marzuola, JL, Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model,
Physica D: Nonlinear Phenomena
(January, 2019) [doi] [abs]
 Huang, H; Liu, JG; Lu, J, Learning interacting particle systems: Diffusion parameter estimation for aggregation equations,
Mathematical Models and Methods in Applied Sciences, vol. 29 no. 1
(January, 2019),
pp. 129 [doi] [abs]
 Gauckler, L; Lu, J; Marzuola, JL; Rousset, F; Schratz, K, Trigonometric integrators for quasilinear wave equations,
Mathematics of Computation, vol. 88 no. 316
(January, 2019),
pp. 717749, American Mathematical Society (AMS) [doi] [abs]
 Delgadillo, R; Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation in periodic media,
Asymptotic Analysis, vol. 110 no. 34
(November, 2018),
pp. 113135, IOS Press [doi] [abs]
 Cao, Y; Lu, J, Stochastic dynamical lowrank approximation method,
Journal of Computational Physics, vol. 372
(November, 2018),
pp. 564586, Elsevier BV [doi] [abs]
 Chen, H; Lu, J; Ortner, C, Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding,
Archive for Rational Mechanics and Analysis, vol. 230 no. 2
(November, 2018),
pp. 701733, Springer Nature America, Inc [doi] [abs]
 Li, X; Liu, J; Lu, J; Zhou, X, Moderate deviation for random elliptic PDE with small noise,
The Annals of Applied Probability, vol. 28 no. 5
(October, 2018),
pp. 27812813, Institute of Mathematical Statistics [doi] [abs]
 Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum ManyBody Systems,
Physical Review Letters, vol. 121 no. 8
(August, 2018),
pp. 080406 [doi] [abs]
 Huang, Y; Lu, J; Ming, P, A Concurrent Global–Local Numerical Method for Multiscale PDEs,
Journal of Scientific Computing, vol. 76 no. 2
(August, 2018),
pp. 11881215, Springer Nature [doi] [abs]
 You, Z; Li, L; Lu, J; Ge, H, Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering.,
The Journal of Chemical Physics, vol. 149 no. 8
(August, 2018),
pp. 084114 [doi] [abs]
 Lin, L; Lu, J; VandenEijnden, E, A Mathematical Theory of Optimal Milestoning (with a Detour via Exact Milestoning),
Communications on Pure and Applied Mathematics, vol. 71 no. 6
(June, 2018),
pp. 11491177, WILEY [doi] [abs]
 Yu, V; Huhn, W; Lin, L; Lu, J; VazquezMayagoitia, A; Yang, C; Blum, V, ELSI: A unified software interface for KohnSham electronic structure solvers,
Abstracts of Papers of the American Chemical Society, vol. 255
(March, 2018),
pp. 1 pages, AMER CHEMICAL SOC
 Lu, J; Zhou, Z, Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping.,
The Journal of Chemical Physics, vol. 148 no. 6
(February, 2018),
pp. 064110 [doi] [abs]
 Cai, Z; Lu, J, A quantum kinetic monte carlo method for quantum manybody spin dynamics,
Siam Journal on Scientific Computing, vol. 40 no. 3
(January, 2018),
pp. B706B722, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Yang, H, Phasespace sketching for crystal image analysis based on synchrosqueezed transforms,
Siam Journal on Imaging Sciences, vol. 11 no. 3
(January, 2018),
pp. 19541978, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Yu, VWZ; Corsetti, F; García, A; Huhn, WP; Jacquelin, M; Jia, W; Lange, B; Lin, L; Lu, J; Mi, W; Seifitokaldani, A; VázquezMayagoitia, Á; Yang, C; Yang, H; Blum, V, ELSI: A unified software interface for Kohn–Sham electronic structure solvers,
Computer Physics Communications, vol. 222
(January, 2018),
pp. 267285, Elsevier BV [doi] [abs]
 Lu, J; Zhou, Z, Frozen gaussian approximation with surface hopping for mixed quantumclassical dynamics: A mathematical justification of fewest switches surface hopping algorithms,
Mathematics of Computation, vol. 87 no. 313
(January, 2018),
pp. 21892232, American Mathematical Society (AMS) [doi] [abs]
 Du, Q; Li, XH; Lu, J; Tian, X, A quasinonlocal coupling method for nonlocal and local diffusion models,
Siam Journal on Numerical Analysis, vol. 56 no. 3
(January, 2018),
pp. 13861404, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Dai, S; Li, B; Lu, J, Convergence of PhaseField Free Energy and Boundary Force for Molecular Solvation,
Archive for Rational Mechanics and Analysis, vol. 227 no. 1
(January, 2018),
pp. 105147, Springer Nature [doi] [abs]
 Cai, Z; Lu, J, A surface hopping Gaussian beam method for highdimensional transport systems,
Siam Journal on Scientific Computing, vol. 40 no. 5
(January, 2018),
pp. B1277B1301, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lai, R; Lu, J, Point cloud discretization of Fokkerplanck operators for committor functions,
Multiscale Modeling & Simulation, vol. 16 no. 2
(January, 2018),
pp. 710726, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Spiliopoulos, K, Analysis of multiscale integrators for multiple attractors and irreversible langevin samplers,
Multiscale Modeling & Simulation, vol. 16 no. 4
(January, 2018),
pp. 18591883, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Fang, D; Lu, J, A Diabatic Surface Hopping Algorithm Based on Time Dependent Perturbation Theory and Semiclassical Analysis,
Multiscale Modeling & Simulation, vol. 16 no. 4
(January, 2018),
pp. 16031622, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Zhu, W; Qiu, Q; Wang, B; Lu, J; Sapiro, G; Daubechies, I, Stop memorizing: A datadependent regularization framework for intrinsic pattern learning.,
Corr, vol. abs/1805.07291
(2018)
 Lu, J; Thicke, K, Cubic scaling algorithms for RPA correlation using interpolative separable density fitting,
Journal of Computational Physics, vol. 351
(December, 2017),
pp. 187202, Elsevier BV [doi] [abs]
 Cao, Y; Lu, J, Lindblad equation and its semiclassical limit of the AndersonHolstein model,
Journal of Mathematical Physics, vol. 58 no. 12
(December, 2017),
pp. 122105122105, AIP Publishing [doi] [abs]
 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, Springer Nature America, Inc [doi] [abs]
 Li, Q; Lu, J; Sun, W, A convergent method for linear halfspace kinetic equations,
Esaim: Mathematical Modelling and Numerical Analysis, vol. 51 no. 5
(September, 2017),
pp. 15831615, E D P SCIENCES [doi] [abs]
 Lu, J; Steinerberger, S, A variation on the DonskerVaradhan inequality for the principal eigenvalue.,
Proceedings. 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 particle–particle random phase approximation,
Journal of Computational Physics, vol. 340
(July, 2017),
pp. 297308, Elsevier BV [doi] [abs]
 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, Springer Nature [doi] [abs]
 Li, C; Lu, J; Yang, W, On extending KohnSham density functionals to systems with fractional number of electrons.,
The Journal of Chemical Physics, vol. 146 no. 21
(June, 2017),
pp. 214109 [doi] [abs]
 Lu, J; Thicke, K, Orbital minimization method with ℓ^{1} regularization,
Journal of Computational Physics, vol. 336
(May, 2017),
pp. 87103, Elsevier BV [doi] [abs]
 Huang, Y; Lu, J; Ming, P, A Hybrid Globallocal Numerical Method for Multiscale PDEs
(April, 2017) [abs]
 Li, L; Liu, JG; Lu, J, Fractional stochastic differential equations satisfying fluctuationdissipation theorem
(April, 2017) [abs]
 Lu, J; Zhou, Z, Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems.,
The Journal of Chemical Physics, vol. 146 no. 15
(April, 2017),
pp. 154110 [doi] [abs]
 Watson, AB; Lu, J; Weinstein, MI, Wavepackets in inhomogeneous periodic media: Effective particlefield dynamics and Berry curvature,
Journal of Mathematical Physics, vol. 58 no. 2
(February, 2017),
pp. 021503021503, AIP Publishing [doi]
 Niu, X; Luo, T; Lu, J; Xiang, Y, Dislocation climb models from atomistic scheme to dislocation dynamics,
Journal of the Mechanics and Physics of Solids, vol. 99
(February, 2017),
pp. 242258, Elsevier BV [doi] [abs]
 Li, XH; Lu, J, Quasinonlocal coupling of nonlocal diffusions,
Siam Journal on Numerical Analysis, vol. 55 no. 5
(January, 2017),
pp. 23942415, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Lu, J; Yang, H, Preconditioning Orbital Minimization Method for Planewave Discretization,
Multiscale Modeling & Simulation, vol. 15 no. 1
(January, 2017),
pp. 254273, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Li, Q; Lu, J; Sun, W, Validity and Regularization of Classical HalfSpace Equations,
Journal of Statistical Physics, vol. 166 no. 2
(January, 2017),
pp. 398433, Springer Nature [doi] [abs]
 Li, Q; Lu, J, An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients,
Multiscale Modeling & Simulation, vol. 15 no. 4
(January, 2017),
pp. 16941718, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Gao, Y; Liu, JG; Lu, J, Weak solution of a continuum model for vicinal surface in the attachmentdetachmentlimited regime,
Siam Journal on Mathematical Analysis, vol. 49 no. 3
(January, 2017),
pp. 17051731, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Cornelis, B; Yang, H; Goodfriend, A; Ocon, N; Lu, J; Daubechies, I, Removal of Canvas Patterns in Digital Acquisitions of Paintings.,
Ieee Transactions on Image Processing : a Publication of the Ieee Signal Processing Society, vol. 26 no. 1
(January, 2017),
pp. 160171 [doi] [abs]
 Li, Q; Lu, J; Sun, W, Halfspace kinetic equations with general boundary conditions,
Mathematics of Computation, vol. 86 no. 305
(January, 2017),
pp. 12691301, American Mathematical Society (AMS) [doi] [abs]
 Mendl, CB; Lu, J; Lukkarinen, J, Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory.,
Physical Review. E, vol. 94 no. 61
(December, 2016),
pp. 062104 [doi] [abs]
 Yu, TQ; Lu, J; Abrams, CF; VandenEijnden, E, Multiscale implementation of infiniteswap replica exchange molecular dynamics.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 113 no. 42
(October, 2016),
pp. 1174411749 [doi] [abs]
 Lu, J; Zhou, Z, Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics.,
The Journal of Chemical Physics, vol. 145 no. 12
(September, 2016),
pp. 124109 [doi] [abs]
 Li, X; Lu, J, Traction boundary conditions for molecular static simulations,
Computer Methods in Applied Mechanics and Engineering, vol. 308
(August, 2016),
pp. 310329, Elsevier BV [doi] [abs]
 Lin, L; Lu, J, Decay estimates of discretized Green’s functions for Schrödinger type operators,
Science China Mathematics, vol. 59 no. 8
(August, 2016),
pp. 15611578, Springer Nature [doi] [abs]
 Lai, R; Lu, J, Localized density matrix minimization and linearscaling algorithms,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 194210, Elsevier BV [doi] [abs]
 Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 458466, Elsevier BV [doi] [abs]
 Lu, J; Wirth, B; Yang, H, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis,
Journal of the Mechanics and Physics of Solids, vol. 89
(2016),
pp. 194210, Elsevier BV, ISSN 00225096 [arXiv:1501.06254], [repository], [doi] [abs]
 Delgadillo, R; Lu, J; Yang, X, Gaugeinvariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials,
Siam Journal on Scientific Computing, vol. 38 no. 4
(January, 2016),
pp. A2440A2463, Society for Industrial & Applied Mathematics (SIAM) [doi] [abs]
 Chen, J; Lu, J, Analysis 0f the divideandconquer method for electronic structure calculations,
Mathematics of Computation, vol. 85 no. 302
(January, 2016),
pp. 29192938, American Mathematical Society (AMS) [doi] [abs]
 Lu, J; Moroz, V; Muratov, CB, OrbitalFree Density Functional Theory of OutofPlane Charge Screening in Graphene,
Journal of Nonlinear Science, vol. 25 no. 6
(2015),
pp. 13911430, Springer Nature, ISSN 09388974 [arXiv:1405.4949], [doi] [abs]
 Li, C; Lu, J; Yang, W, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of KohnSham density functionals.,
The Journal of Chemical Physics, vol. 143 no. 22
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 Yang, H; Lu, J; Brown, WP; Daubechies, I; Ying, L, Quantitative Canvas Weave Analysis Using 2D Synchrosqueezed Transforms: Application of timefrequency analysis to art investigation,
Ieee Signal Processing Magazine, vol. 32 no. 4
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pp. 5563, Institute of Electrical and Electronics Engineers (IEEE), ISSN 10535888 [repository], [doi]
 Li, Q; Lu, J; Sun, W, Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics,
Journal of Computational Physics, vol. 292
(2015),
pp. 141167, Elsevier BV, ISSN 00219991 [arXiv:1409.0476], [doi] [abs]
 Lu, J; Mendl, CB, Numerical scheme for a spatially inhomogeneous matrixvalued quantum Boltzmann equation,
Journal of Computational Physics, vol. 291
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pp. 303316, Elsevier BV, ISSN 00219991 [arXiv:1408.1782], [doi] [abs]
 Lu, J; Liu, JG; Margetis, D, Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 91 no. 3
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 Lu, J; Nolen, J, Reactive trajectories and the transition path process,
Probability Theory and Related Fields, vol. 161 no. 12
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pp. 195244, Springer Nature, ISSN 01788051 ([erratum].) [arXiv:1303.1744], [doi]
 Lai, R; Lu, J; Osher, S, Density matrix minimization with ℓ1 regularization,
Communications in Mathematical Sciences, vol. 13 no. 8
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pp. 20972117, International Press of Boston, ISSN 15396746 [arXiv:1403.1525], [doi] [abs]
 Liu, J; Lu, J; Zhou, X, Efficient rare event simulation for failure problems in random media,
Siam Journal on Scientific Computing, vol. 37 no. 2
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pp. A609A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [arXiv:1404.4729], [doi] [abs]
 Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics,
Communications in Mathematical Sciences, vol. 13 no. 5
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pp. 10511074, International Press of Boston, ISSN 15396746 [arXiv:1305.7205], [doi] [abs]
 Yang, H; Lu, J; Ying, L, Crystal image analysis using 2D synchrosqueezed transforms,
Multiscale Modeling & Simulation, vol. 13 no. 4
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pp. 15421572, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [arXiv:1402.1262], [repository], [doi] [abs]
 Lu, J; Ying, L, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost,
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 Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R; IEEE,, CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM,
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 Lu, J; Otto, F, Nonexistence of a Minimizer for ThomasFermiDiracvon Weizsäcker Model,
Communications on Pure and Applied Mathematics, vol. 67 no. 10
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 Yang, Y; Peng, D; Lu, J; Yang, W, Excitation energies from particleparticle random phase approximation: Davidson algorithm and benchmark studies,
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The Journal of Chemical Physics, vol. 141 no. 4
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 E, W; Lu, J, Mathematical theory of solids: From quantum mechanics to continuum models,
Discrete and Continuous Dynamical Systems Series A, vol. 34 no. 12
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Communications in Mathematical Physics, vol. 328 no. 1
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pp. 127, Springer Nature, ISSN 00103616 [doi] [abs]
 Lin, L; Lu, J; Shao, S, Analysis of time reversible bornoppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette,
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 Lu, J; Ming, P, Stability of a forcebased hybrid method with planar sharp interface,
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 Lu, J; Otto, F, Nonexistence of a minimizer for ThomasFermiDiracvon Weizsäcker model,
Communications on Pure and Applied Mathematics, vol. 67 no. 10
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The Journal of Chemical Physics, vol. 138 no. 8
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 Lu, J; Ming, P, Convergence of a ForceBased Hybrid Method in Three Dimensions,
Communications on Pure and Applied Mathematics, vol. 66 no. 1
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 E, W; Lu, JF; Yang, X, Asymptotic analysis of quantum dynamics in crystals: The BlochWigner transform, Bloch dynamics and Berry phase,
Acta Mathematicae Applicatae Sinica, English Series, vol. 29 no. 3
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 E, W; Lu, J; Yao, Y, The landscape of complex networks: Critical nodes and a hierarchical decomposition,
Methods and Applications of Analysis, vol. 20 no. 4
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 Lu, J; Yang, X, Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods,
Multiscale Modeling & Simulation, vol. 10 no. 2
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 Lu, J; Yang, X, Convergence of frozen Gaussian approximation for highfrequency wave propagation,
Communications on Pure and Applied Mathematics, vol. 65 no. 6
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 E, W; Lu, J, The KohnSham equation for deformed crystals,
Memoirs of the American Mathematical Society, vol. 221 no. 1040
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 Schütte, C; Noé, F; Lu, J; Sarich, M; VandenEijnden, E, Markov state models based on milestoning,
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Applied and Computational Harmonic Analysis, vol. 30 no. 2
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Acm Transactions on Mathematical Software, vol. 37 no. 4
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Communications in Mathematical Sciences, vol. 9 no. 3
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 E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*,
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Communications in Mathematical Sciences, vol. 5 no. 4
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 E, W; Lu, J, Seamless multiscale modeling via dynamics on fiber bundles,
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 E, W; Lu, J, The continuum limit and QMcontinuum approximation of quantum mechanical models of solids,
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