Math @ Duke

Papers Published
 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]
 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]
 Gauckler, L; Lu, J; Marzuola, JL; Rousset, F; Schratz, K, Trigonometric integrators for quasilinear wave equations,
Mathematics of Computation, vol. 88 no. 316
(May, 2018),
pp. 717749, American Mathematical Society (AMS) [doi]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 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
(November, 2017),
pp. 21892232, American Mathematical Society (AMS) [doi]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 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]
 Li, Q; Lu, J; Sun, W, Halfspace kinetic equations with general boundary conditions,
Mathematics of Computation, vol. 86 no. 305
(October, 2016),
pp. 12691301, American Mathematical Society (AMS) [doi]
 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]
 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]
 Lai, R; Lu, J, Localized density matrix minimization and linearscaling algorithms,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 194210, Elsevier BV [doi]
 Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations,
Journal of Computational Physics, vol. 315
(June, 2016),
pp. 458466, Elsevier BV [doi]
 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]
 Chen, J; Lu, J, Analysis of the divideandconquer method for electronic structure calculations,
Mathematics of Computation, vol. 85 no. 302
(January, 2016),
pp. 29192938, American Mathematical Society (AMS) [doi]
 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]
 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]
 Lu, J; Ying, L, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost,
Journal of Computational Physics, vol. 302
(2015),
pp. 329335, Elsevier BV, ISSN 00219991 [arXiv:1410.7757], [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
(December, 2015),
pp. 224110, ISSN 00219606 [doi] [abs]
 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
(2015),
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
(2015),
pp. 303316, Elsevier BV, ISSN 00219991 [arXiv:1408.1782], [doi]
 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
(2015),
pp. 032403, ISSN 15393755 [arXiv:1409.0046], [doi] [abs]
 Lu, J; Nolen, J, Reactive trajectories and the transition path process,
Probability Theory and Related Fields, vol. 161 no. 12
(February, 2015),
pp. 195244, Springer Nature, ISSN 01788051 ([erratum].) [arXiv:1303.1744], [doi]
 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
(2015),
pp. A609A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [arXiv:1404.4729], [doi]
 Yang, H; Lu, J; Ying, L, Crystal Image Analysis Using 2D Synchrosqueezed Transforms,
Multiscale Modeling & Simulation, vol. 13 no. 4
(2015),
pp. 15421572, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [arXiv:1402.1262], [repository], [doi]
 Lai, R; Lu, J; Osher, S, Density matrix minimization with ${\ell}_1$ regularization,
Communications in Mathematical Sciences, vol. 13 no. 8
(2015),
pp. 20972117, International Press of Boston, ISSN 15396746 [arXiv:1403.1525], [doi]
 Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics,
Communications in Mathematical Sciences, vol. 13 no. 5
(2015),
pp. 10511074, International Press of Boston, ISSN 15396746 [arXiv:1305.7205], [doi]
 Xian, Y; Thompson, A; Qiu, Q; Nolte, L; Nowacek, D; Lu, J; Calderbank, R; IEEE,, CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM,
in 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP),
2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), vol. 2015August
(2015),
pp. 773777, ISSN 15206149, ISBN 9781467369978 [doi] [abs]
 Lu, J; Otto, F, Nonexistence of a Minimizer for ThomasFermiDiracvon Weizsäcker Model,
Communications on Pure and Applied Mathematics, vol. 67 no. 10
(2014),
pp. 16051617, WILEY, ISSN 00103640 [doi]
 Yang, Y; Peng, D; Lu, J; Yang, W, Excitation energies from particleparticle random phase approximation: Davidson algorithm and benchmark studies.,
The Journal of Chemical Physics, vol. 141 no. 12
(2014),
pp. 124104, ISSN 00219606 [doi] [abs]
 Lu, J; VandenEijnden, E, Exact dynamical coarsegraining without timescale separation.,
The Journal of Chemical Physics, vol. 141 no. 4
(July, 2014),
pp. 044109, ISSN 00219606 [arXiv:1404.4225], [doi] [abs]
 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
(June, 2014),
pp. 50855097, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 [doi]
 Kohn, RV; Lu, J; Schweizer, B; Weinstein, MI, A Variational Perspective on Cloaking by Anomalous Localized Resonance,
Communications in Mathematical Physics, vol. 328 no. 1
(2014),
pp. 127, Springer Nature, ISSN 00103616 [doi]
 Lin, L; Lu, J; Shao, S, Analysis of Time Reversible BornOppenheimer Molecular Dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette,
Entropy, vol. 16 no. 1
(2014),
pp. 110137, MDPI AG (Special issue on Molecular Dynamics Simulation.) [doi]
 Lu, J; Ming, P, Stability Of A ForceBased Hybrid Method With Planar Sharp Interface,
Siam Journal on Numerical Analysis, vol. 52 no. 4
(2014),
pp. 20052026, Society for Industrial & Applied Mathematics (SIAM), ISSN 00361429 [doi]
 Lu, J; Otto, F, Nonexistence of a minimizer for ThomasFermiDiracvon Weizsäcker model,
Communications on Pure and Applied Mathematics, vol. 67 no. 10
(2014),
pp. 16051617 [doi]
 Lu, J; VandenEijnden, E, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials.,
The Journal of Chemical Physics, vol. 138 no. 8
(2013),
pp. 084105 [23464138], [doi] [abs]
 Lu, J; Ming, P, Convergence of a ForceBased Hybrid Method in Three Dimensions,
Communications on Pure and Applied Mathematics, vol. 66 no. 1
(2013),
pp. 83108, WILEY, ISSN 00103640 [doi]
 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
(2013),
pp. 465476, ISSN 01689673 [doi] [abs]
 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
(2013),
pp. 383404, ISSN 10732772 (Special issue dedicated to Stan Osher's 70th birthday.) [doi]
 E, W; Lu, J, Stability and the continuum limit of the spinpolarized ThomasFermiDiracvon Weizsäcker model,
Journal of Mathematical Physics, vol. 53 no. 11
(November, 2012),
pp. 115615115615, AIP Publishing, ISSN 00222488 [doi]
 Lu, J; Yang, X, Convergence of frozen Gaussian approximation for highfrequency wave propagation,
Communications on Pure and Applied Mathematics, vol. 65 no. 6
(June, 2012),
pp. 759789, WILEY, ISSN 00103640 [doi] [abs]
 Lin, L; Lu, J; Ying, L; E, W, Optimized local basis set for Kohn–Sham density functional theory,
Journal of Computational Physics, vol. 231 no. 13
(May, 2012),
pp. 45154529, Elsevier BV, ISSN 00219991 [doi]
 Lin, L; Lu, J; Ying, L; E, W, Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation,
Journal of Computational Physics, vol. 231 no. 4
(February, 2012),
pp. 21402154, Elsevier BV, ISSN 00219991 [doi]
 Lu, J; Yang, X, Frozen Gaussian Approximation for General Linear Strictly Hyperbolic Systems: Formulation and Eulerian Methods,
Multiscale Modeling & Simulation, vol. 10 no. 2
(January, 2012),
pp. 451472, Society for Industrial & Applied Mathematics (SIAM), ISSN 15403459 [doi] [abs]
 E, W; Lu, J, The KohnSham equation for deformed crystals,
Memoirs of the American Mathematical Society, vol. 221 no. 1040
(2013),
pp. 11, American Mathematical Society (AMS), ISSN 00659266 [doi]
 Schütte, C; Noé, F; Lu, J; Sarich, M; VandenEijnden, E, Markov state models based on milestoning,
The Journal of Chemical Physics, vol. 134 no. 20
(2011),
pp. 204105204105, AIP Publishing, ISSN 00219606 [doi]
 Lin, L; Lu, J; Ying, L, Fast construction of hierarchical matrix representation from matrix–vector multiplication,
Journal of Computational Physics, vol. 230 no. 10
(2011),
pp. 40714087, Elsevier BV, ISSN 00219991 [doi] [abs]
 Daubechies, I; Lu, J; Wu, HT, Synchrosqueezed wavelet transforms: An empirical mode decompositionlike tool,
Applied and Computational Harmonic Analysis, vol. 30 no. 2
(2011),
pp. 243261, Elsevier BV, ISSN 10635203 [doi] [abs]
 Weinan, E; Lu, J; Yang, X, Effective Maxwell equations from timedependent density functional theory,
Acta Mathematica Sinica, English Series, vol. 27 no. 2
(2011),
pp. 339368, Springer Nature [doi]
 Lin, L; Yang, C; Meza, JC; Lu, J; Ying, L; E, W, SelInvAn Algorithm for Selected Inversion of a Sparse Symmetric Matrix,
Acm Transactions on Mathematical Software, vol. 37 no. 4
(2011),
pp. 119, Association for Computing Machinery (ACM), ISSN 00983500 [doi]
 E, W; Lu, J, The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule,
Archive for Rational Mechanics and Analysis, vol. 199 no. 2
(2011),
pp. 407433, Springer Nature, ISSN 00039527 [doi]
 Lin, L; Yang, C; Lu, J; Ying, L; E, W, A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations,
Siam Journal on Scientific Computing, vol. 33 no. 3
(2011),
pp. 13291351, Society for Industrial & Applied Mathematics (SIAM), ISSN 10648275 [doi]
 Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation,
Communications in Mathematical Sciences, vol. 9 no. 3
(2011),
pp. 663683, International Press of Boston, ISSN 15396746 [doi] [abs]
 E, W; Lu, J, Multiscale modeling,
Scholarpedia, vol. 6
(2011),
pp. 11527 [Multiscale_modeling]
 E, W; Lu, J, Electronic structure of smoothly deformed crystals: Cauchyborn rule for the nonlinear tightbinding model,
Communications on Pure and Applied Mathematics, vol. 63 no. 11
(2010),
pp. 14321468, WILEY, ISSN 00103640 [doi]
 E, W; Li, T; Lu, J, Localized bases of eigensubspaces and operator compression.,
Proceedings of the National Academy of Sciences of the United States of America, vol. 107 no. 4
(2010),
pp. 12731278, ISSN 00278424 [doi] [abs]
 Lin, L; Lu, J; Ying, L; Weinan, E, PoleBased approximation of the FermiDirac function,
Chinese Annals of Mathematics, Series B, vol. 30 no. 6
(2009),
pp. 729742, Springer Nature [doi]
 GarcíaCervera, CJ; Lu, J; Xuan, Y; E, W, Linearscaling subspaceiteration algorithm with optimally localized nonorthogonal wave functions for KohnSham density functional theory,
Physical Review B, vol. 79 no. 11
(2009),
pp. 115110, American Physical Society (APS), ISSN 10980121 [doi]
 Lin, L; Lu, J; Car, R; E, W, Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems,
Physical Review B, vol. 79 no. 11
(2009),
pp. 115133, ISSN 10980121 [doi]
 Car, R; E, W; Lin, L; Lu, J; Ying, L, Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems,
Communications in Mathematical Sciences, vol. 7 no. 3
(2009),
pp. 755777, International Press of Boston [doi]
 GarciaCervera, CJ; Ren, W; Lu, J; E, W, Sequential multiscale modeling using sparse representation,
Communications in Computational Physics, vol. 4 no. 5
(2008),
pp. 10251033 [abs]
 E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*,
Chinese Annals of Mathematics, Series B, vol. 28 no. 6
(2007),
pp. 665676, Springer Nature, ISSN 02529599 [doi]
 E, W; GarcíaCervera, CJ; Lu, J, A sublinear scaling algorithm for computing the electronic structure of materials,
Communications in Mathematical Sciences, vol. 5 no. 4
(2007),
pp. 9991026, ISSN 15396746 [doi]
 E, W; Lu, J, Seamless multiscale modeling via dynamics on fiber bundles,
Communications in Mathematical Sciences, vol. 5 no. 3
(2007),
pp. 649663, International Press of Boston, ISSN 15396746 [doi]
 E, W; Lu, J, The continuum limit and QMcontinuum approximation of quantum mechanical models of solids,
Communications in Mathematical Sciences, vol. 5 no. 3
(2007),
pp. 679696, International Press of Boston, ISSN 15396746 [doi]
 E, W; Lu, J; Yang, JZ, Uniform accuracy of the quasicontinuum method,
Physical Review B, vol. 74 no. 21
(2006),
pp. 214115, American Physical Society (APS), ISSN 10980121 [doi]


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