**Papers Published**

- Martinsson, A; Lu, J; Leimkuhler, B; Vanden-Eijnden, 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. 013207-013207, IOP Publishing - Lu, J; Vanden-Eijnden, E,
*Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit*, Journal of Statistical Physics (January, 2019) - 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. 1-29 - Delgadillo, R; Lu, J; Yang, X,
*Frozen Gaussian approximation for high frequency wave propagation in periodic media*, Asymptotic Analysis, vol. 110 no. 3-4 (November, 2018), pp. 113-135, IOS Press - Cao, Y; Lu, J,
*Stochastic dynamical low-rank approximation method*, Journal of Computational Physics, vol. 372 (November, 2018), pp. 564-586, Elsevier BV - 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. 701-733, Springer Nature America, Inc - 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. 2781-2813, Institute of Mathematical Statistics - Barthel, T; Lu, J,
*Fundamental Limitations for Measurements in Quantum Many-Body Systems*, Physical Review Letters, vol. 121 no. 8 (August, 2018), pp. 080406 - 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. 1188-1215, Springer Nature - 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 - Lin, L; Lu, J; Vanden-Eijnden, 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. 1149-1177, WILEY - 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. 717-749, American Mathematical Society (AMS) - Yu, V; Huhn, W; Lin, L; Lu, J; Vazquez-Mayagoitia, A; Yang, C; Blum, V,
*ELSI: A unified software interface for Kohn-Sham 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 - Cai, Z; Lu, J,
*A quantum kinetic monte carlo method for quantum many-body spin dynamics*, Siam Journal on Scientific Computing, vol. 40 no. 3 (January, 2018), pp. B706-B722, Society for Industrial & Applied Mathematics (SIAM) - Lu, J; Yang, H,
*Phase-space sketching for crystal image analysis based on synchrosqueezed transforms*, Siam Journal on Imaging Sciences, vol. 11 no. 3 (January, 2018), pp. 1954-1978, Society for Industrial & Applied Mathematics (SIAM) - Yu, VWZ; Corsetti, F; García, A; Huhn, WP; Jacquelin, M; Jia, W; Lange, B; Lin, L; Lu, J; Mi, W; Seifitokaldani, A; Vázquez-Mayagoitia, 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. 267-285, Elsevier BV - Lu, J; Zhou, Z,
*Frozen gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of fewest switches surface hopping algorithms*, Mathematics of Computation, vol. 87 no. 313 (January, 2018), pp. 2189-2232, American Mathematical Society (AMS) - Du, Q; Li, XH; Lu, J; Tian, X,
*A quasi-nonlocal coupling method for nonlocal and local diffusion models*, Siam Journal on Numerical Analysis, vol. 56 no. 3 (January, 2018), pp. 1386-1404, Society for Industrial & Applied Mathematics (SIAM) - Dai, S; Li, B; Lu, J,
*Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation*, Archive for Rational Mechanics and Analysis, vol. 227 no. 1 (January, 2018), pp. 105-147, Springer Nature - Cai, Z; Lu, J,
*A surface hopping Gaussian beam method for high-dimensional transport systems*, Siam Journal on Scientific Computing, vol. 40 no. 5 (January, 2018), pp. B1277-B1301, Society for Industrial & Applied Mathematics (SIAM) - Lai, R; Lu, J,
*Point cloud discretization of Fokker-planck operators for committor functions*, Multiscale Modeling & Simulation, vol. 16 no. 2 (January, 2018), pp. 710-726, Society for Industrial & Applied Mathematics (SIAM) - 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. 1859-1883, Society for Industrial & Applied Mathematics (SIAM) - 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. 1603-1622, Society for Industrial & Applied Mathematics (SIAM) - Zhu, W; Qiu, Q; Wang, B; Lu, J; Sapiro, G; Daubechies, I,
*Stop memorizing: A data-dependent 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. 187-202, Elsevier BV - Cao, Y; Lu, J,
*Lindblad equation and its semiclassical limit of the Anderson-Holstein model*, Journal of Mathematical Physics, vol. 58 no. 12 (December, 2017), pp. 122105-122105, AIP Publishing - Li, L; Liu, JG; Lu, J,
*Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem*, Journal of Statistical Physics, vol. 169 no. 2 (October, 2017), pp. 316-339, Springer Nature America, Inc - Li, Q; Lu, J; Sun, W,
*A convergent method for linear half-space kinetic equations*, Esaim: Mathematical Modelling and Numerical Analysis, vol. 51 no. 5 (September, 2017), pp. 1583-1615, E D P SCIENCES - Lu, J; Steinerberger, S,
*A variation on the Donsker-Varadhan inequality for the principal eigenvalue.*, Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 473 no. 2204 (August, 2017), pp. 20160877 - 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. 297-308, Elsevier BV - 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. 873-926, Springer Nature - Li, C; Lu, J; Yang, W,
*On extending Kohn-Sham density functionals to systems with fractional number of electrons.*, The Journal of Chemical Physics, vol. 146 no. 21 (June, 2017), pp. 214109 - Lu, J; Thicke, K,
*Orbital minimization method with ℓ*, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103, Elsevier BV^{1}regularization - Huang, Y; Lu, J; Ming, P,
*A Hybrid Global-local Numerical Method for Multiscale PDEs*(April, 2017) - Li, L; Liu, J-G; Lu, J,
*Fractional stochastic differential equations satisfying fluctuation-dissipation theorem*(April, 2017) - 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 - Watson, AB; Lu, J; Weinstein, MI,
*Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature*, Journal of Mathematical Physics, vol. 58 no. 2 (February, 2017), pp. 021503-021503, AIP Publishing - 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. 242-258, Elsevier BV - Li, XH; Lu, J,
*Quasi-nonlocal coupling of nonlocal diffusions*, Siam Journal on Numerical Analysis, vol. 55 no. 5 (January, 2017), pp. 2394-2415, Society for Industrial & Applied Mathematics (SIAM) - Lu, J; Yang, H,
*Preconditioning Orbital Minimization Method for Planewave Discretization*, Multiscale Modeling & Simulation, vol. 15 no. 1 (January, 2017), pp. 254-273, Society for Industrial & Applied Mathematics (SIAM) - Li, Q; Lu, J; Sun, W,
*Validity and Regularization of Classical Half-Space Equations*, Journal of Statistical Physics, vol. 166 no. 2 (January, 2017), pp. 398-433, Springer Nature - 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. 1694-1718, Society for Industrial & Applied Mathematics (SIAM) - Gao, Y; Liu, JG; Lu, J,
*Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime*, Siam Journal on Mathematical Analysis, vol. 49 no. 3 (January, 2017), pp. 1705-1731, Society for Industrial & Applied Mathematics (SIAM) - 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. 160-171 - Li, Q; Lu, J; Sun, W,
*Half-space kinetic equations with general boundary conditions*, Mathematics of Computation, vol. 86 no. 305 (January, 2017), pp. 1269-1301, American Mathematical Society (AMS) - Mendl, CB; Lu, J; Lukkarinen, J,
*Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory.*, Physical Review. E, vol. 94 no. 6-1 (December, 2016), pp. 062104 - Yu, T-Q; Lu, J; Abrams, CF; Vanden-Eijnden, E,
*Multiscale implementation of infinite-swap replica exchange molecular dynamics.*, Proceedings of the National Academy of Sciences of the United States of America, vol. 113 no. 42 (October, 2016), pp. 11744-11749 - 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 - Li, X; Lu, J,
*Traction boundary conditions for molecular static simulations*, Computer Methods in Applied Mechanics and Engineering, vol. 308 (August, 2016), pp. 310-329, Elsevier BV - 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. 1561-1578, Springer Nature - Lai, R; Lu, J,
*Localized density matrix minimization and linear-scaling algorithms*, Journal of Computational Physics, vol. 315 (June, 2016), pp. 194-210, Elsevier BV - Lu, J; Ying, L,
*Sparsifying preconditioner for soliton calculations*, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466, Elsevier BV - 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. 194-210, Elsevier BV, ISSN 0022-5096 - Delgadillo, R; Lu, J; Yang, X,
*Gauge-invariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials*, Siam Journal on Scientific Computing, vol. 38 no. 4 (January, 2016), pp. A2440-A2463, Society for Industrial & Applied Mathematics (SIAM) - Chen, J; Lu, J,
*Analysis 0f the divide-and-conquer method for electronic structure calculations*, Mathematics of Computation, vol. 85 no. 302 (January, 2016), pp. 2919-2938, American Mathematical Society (AMS) - Lu, J; Moroz, V; Muratov, CB,
*Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene*, Journal of Nonlinear Science, vol. 25 no. 6 (2015), pp. 1391-1430, Springer Nature, ISSN 0938-8974 - Li, C; Lu, J; Yang, W,
*Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals.*, The Journal of Chemical Physics, vol. 143 no. 22 (December, 2015), pp. 224110, ISSN 0021-9606 - Yang, H; Lu, J; Brown, WP; Daubechies, I; Ying, L,
*Quantitative Canvas Weave Analysis Using 2-D Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation*, Ieee Signal Processing Magazine, vol. 32 no. 4 (2015), pp. 55-63, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1053-5888 - 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. 141-167, Elsevier BV, ISSN 0021-9991 - Lu, J; Mendl, CB,
*Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation*, Journal of Computational Physics, vol. 291 (2015), pp. 303-316, Elsevier BV, ISSN 0021-9991 - 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 1539-3755 - Lu, J; Nolen, J,
*Reactive trajectories and the transition path process*, Probability Theory and Related Fields, vol. 161 no. 1-2 (February, 2015), pp. 195-244, Springer Nature, ISSN 0178-8051 ([erratum].) - Lai, R; Lu, J; Osher, S,
*Density matrix minimization with ℓ1 regularization*, Communications in Mathematical Sciences, vol. 13 no. 8 (2015), pp. 2097-2117, International Press of Boston, ISSN 1539-6746 - 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. A609-A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275 - 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. 1051-1074, International Press of Boston, ISSN 1539-6746 - Yang, H; Lu, J; Ying, L,
*Crystal image analysis using 2D synchrosqueezed transforms*, Multiscale Modeling & Simulation, vol. 13 no. 4 (2015), pp. 1542-1572, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459 - 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. 329-335, Elsevier BV, ISSN 0021-9991 - 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. 2015-August (2015), pp. 773-777, ISSN 1520-6149, ISBN 9781467369978 - Lu, J; Otto, F,
*Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model*, Communications on Pure and Applied Mathematics, vol. 67 no. 10 (2014), pp. 1605-1617, WILEY, ISSN 0010-3640 - Yang, Y; Peng, D; Lu, J; Yang, W,
*Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies*, The Journal of Chemical Physics, vol. 141 no. 12 (2014), pp. 124104-124104, AIP Publishing, ISSN 0021-9606 - Lu, J; Vanden-Eijnden, E,
*Exact dynamical coarse-graining without time-scale separation.*, The Journal of Chemical Physics, vol. 141 no. 4 (July, 2014), pp. 044109, ISSN 0021-9606 - 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. 5085-5097, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947 - 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. 1-27, Springer Nature, ISSN 0010-3616 - Lin, L; Lu, J; Shao, S,
*Analysis of time reversible born-oppenheimer molecular dynamics*, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 no. 1 (2014), pp. 110-137, MDPI AG (Special issue on Molecular Dynamics Simulation.) - Lu, J; Ming, P,
*Stability of a force-based hybrid method with planar sharp interface*, Siam Journal on Numerical Analysis, vol. 52 no. 4 (2014), pp. 2005-2026, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 - Lu, J; Otto, F,
*Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model*, Communications on Pure and Applied Mathematics, vol. 67 no. 10 (2014), pp. 1605-1617 - Lu, J; Vanden-Eijnden, 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 - Lu, J; Ming, P,
*Convergence of a Force-Based Hybrid Method in Three Dimensions*, Communications on Pure and Applied Mathematics, vol. 66 no. 1 (2013), pp. 83-108, WILEY, ISSN 0010-3640 - E, W; Lu, JF; Yang, X,
*Asymptotic analysis of quantum dynamics in crystals: The Bloch-Wigner transform, Bloch dynamics and Berry phase*, Acta Mathematicae Applicatae Sinica, English Series, vol. 29 no. 3 (2013), pp. 465-476, ISSN 0168-9673 - 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. 383-404, ISSN 1073-2772 (Special issue dedicated to Stan Osher's 70th birthday.) - E, W; Lu, J,
*Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model*, Journal of Mathematical Physics, vol. 53 no. 11 (November, 2012), pp. 115615-115615, AIP Publishing, ISSN 0022-2488 - Lu, J; Yang, X,
*Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods*, Multiscale Modeling & Simulation, vol. 10 no. 2 (September, 2012), pp. 451-472, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459 - Lu, J; Yang, X,
*Convergence of frozen Gaussian approximation for high-frequency wave propagation*, Communications on Pure and Applied Mathematics, vol. 65 no. 6 (June, 2012), pp. 759-789, WILEY, ISSN 0010-3640 - 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. 4515-4529, Elsevier BV, ISSN 0021-9991 - 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. 2140-2154, Elsevier BV, ISSN 0021-9991 - E, W; Lu, J,
*The Kohn-Sham equation for deformed crystals*, Memoirs of the American Mathematical Society, vol. 221 no. 1040 (2013), pp. 1-1, American Mathematical Society (AMS), ISSN 0065-9266 - Schütte, C; Noé, F; Lu, J; Sarich, M; Vanden-Eijnden, E,
*Markov state models based on milestoning*, The Journal of Chemical Physics, vol. 134 no. 20 (2011), pp. 204105-204105, AIP Publishing, ISSN 0021-9606 - 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. 4071-4087, Elsevier BV, ISSN 0021-9991 - Daubechies, I; Lu, J; Wu, H-T,
*Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool*, Applied and Computational Harmonic Analysis, vol. 30 no. 2 (2011), pp. 243-261, Elsevier BV, ISSN 1063-5203 - Lin, L; Yang, C; Meza, JC; Lu, J; Ying, L; E, W,
*SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix*, Acm Transactions on Mathematical Software, vol. 37 no. 4 (2011), pp. 1-19, Association for Computing Machinery (ACM), ISSN 0098-3500 - 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. 407-433, Springer Nature, ISSN 0003-9527 - 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. 1329-1351, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275 - E, W; Lu, J; Yang, X,
*Effective Maxwell equations from time-dependent density functional theory*, Acta Math. Sin., vol. 32 no. 2 (2011), pp. 339-339, Springer Nature - Lu, J; Yang, X,
*Frozen Gaussian approximation for high frequency wave propagation*, Communications in Mathematical Sciences, vol. 9 no. 3 (2011), pp. 663-683, International Press of Boston, ISSN 1539-6746 - E, W; Lu, J,
*Multiscale modeling*, Scholarpedia, vol. 6 no. 10 (2011), pp. 11527-11527, Scholarpedia - E, W; Lu, J,
*Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model*, Communications on Pure and Applied Mathematics, vol. 63 no. 11 (2010), pp. 1432-1468, WILEY, ISSN 0010-3640 - 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. 1273-1278, Proceedings of the National Academy of Sciences, ISSN 0027-8424 - García-Cervera, CJ; Lu, J; Xuan, Y; E, W,
*Linear-scaling subspace-iteration algorithm with optimally localized nonorthogonal wave functions for Kohn-Sham density functional theory*, Physical Review B, vol. 79 no. 11 (2009), pp. 115110, American Physical Society (APS), ISSN 1098-0121 - 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 1098-0121 - Lin, L; Lu, J; Ying, L; Car, R; E, W,
*Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems*, Commun. Math. Sci., vol. 7 no. 3 (2009), pp. 755-777, International Press of Boston - Lin, L; Lu, J; Ying, L; E, W,
*Pole-based approximation of the Fermi-Dirac function*, Chin. Ann. Math. Ser. B, vol. 30 no. 6 (2009), pp. 729-742, Springer Nature - Garcia-Cervera, CJ; Ren, W; Lu, J; E, W,
*Sequential multiscale modelling using sparse representation*, Commun. Comput. Phys., vol. 4 no. 5 (2008), pp. 1025-1033 - 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. 665-676, Springer Nature, ISSN 0252-9599 - E, W; García-Cervera, CJ; Lu, J,
*A sub-linear scaling algorithm for computing the electronic structure of materials*, Communications in Mathematical Sciences, vol. 5 no. 4 (2007), pp. 999-1026, International Press of Boston, ISSN 1539-6746 - E, W; Lu, J,
*Seamless multiscale modeling via dynamics on fiber bundles*, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 649-663, International Press of Boston, ISSN 1539-6746 - E, W; Lu, J,
*The continuum limit and QM-continuum approximation of quantum mechanical models of solids*, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 679-696, International Press of Boston, ISSN 1539-6746 - 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 1098-0121