Publications of Jianfeng Lu

Papers Published

  1. 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
  2. Lu, J; Vanden-Eijnden, E, Methodological and Computational Aspects of Parallel Tempering Methods in the Infinite Swapping Limit, Journal of Statistical Physics (January, 2019)
  3. 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
  4. 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
  5. Cao, Y; Lu, J, Stochastic dynamical low-rank approximation method, Journal of Computational Physics, vol. 372 (November, 2018), pp. 564-586, Elsevier BV
  6. 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
  7. 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
  8. Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum Many-Body Systems, Physical Review Letters, vol. 121 no. 8 (August, 2018), pp. 080406
  9. 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
  10. 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
  11. 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
  12. 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)
  13. 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
  14. 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
  15. 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)
  16. 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)
  17. 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
  18. 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)
  19. 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)
  20. 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
  21. 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)
  22. 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)
  23. 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)
  24. 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)
  25. 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)
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. Lu, J; Thicke, K, Orbital minimization method with ℓ1 regularization, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103, Elsevier BV
  35. Huang, Y; Lu, J; Ming, P, A Hybrid Global-local Numerical Method for Multiscale PDEs (April, 2017)
  36. Li, L; Liu, J-G; Lu, J, Fractional stochastic differential equations satisfying fluctuation-dissipation theorem (April, 2017)
  37. 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
  38. 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
  39. 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
  40. 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)
  41. 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)
  42. 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
  43. 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)
  44. 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)
  45. 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
  46. 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)
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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
  52. 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
  53. Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466, Elsevier BV
  54. 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
  55. 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)
  56. 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)
  57. 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
  58. 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
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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].)
  64. 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
  65. 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
  66. 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
  67. 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
  68. 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
  69. 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
  70. 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
  71. 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
  72. 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
  73. 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
  74. 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
  75. 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.)
  76. 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
  77. 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
  78. 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
  79. 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
  80. 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
  81. 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.)
  82. 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
  83. 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
  84. 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
  85. 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
  86. 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
  87. 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
  88. 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
  89. 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
  90. 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
  91. 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
  92. 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
  93. 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
  94. 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
  95. 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
  96. E, W; Lu, J, Multiscale modeling, Scholarpedia, vol. 6 no. 10 (2011), pp. 11527-11527, Scholarpedia
  97. 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
  98. 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
  99. 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
  100. 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
  101. 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
  102. 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
  103. 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
  104. 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
  105. 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
  106. 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
  107. 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
  108. 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