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Publications of Jianfeng Lu    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. Liu, JG; Lu, J; Margetis, D; Marzuola, JL, Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model, Physica D: Nonlinear Phenomena, vol. 393 (June, 2019), pp. 54-67 [doi]  [abs]
  2. Wang, Z; Li, Y; Lu, J, Coordinate Descent Full Configuration Interaction., Journal of Chemical Theory and Computation (May, 2019) [doi]  [abs]
  3. Lu, J; Vanden-Eijnden, 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. 715-733 [doi]  [abs]
  4. 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. 1-17, Oxford University Press (OUP) [doi]
  5. 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 [doi]  [abs]
  6. Lu, J; Lu, Y; Nolen, J, Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime, Siam Journal on Mathematical Analysis, vol. 51 no. 2 (January, 2019), pp. 648-671, Society for Industrial & Applied Mathematics (SIAM) [doi]
  7. 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 [doi]  [abs]
  8. 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. 717-749, American Mathematical Society (AMS) [doi]  [abs]
  9. 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 [doi]  [abs]
  10. Cao, Y; Lu, J, Stochastic dynamical low-rank approximation method, Journal of Computational Physics, vol. 372 (November, 2018), pp. 564-586, Elsevier BV [doi]  [abs]
  11. 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 [doi]  [abs]
  12. 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 [doi]  [abs]
  13. Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum Many-Body Systems, Physical Review Letters, vol. 121 no. 8 (August, 2018), pp. 080406 [doi]  [abs]
  14. 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 [doi]  [abs]
  15. 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]
  16. 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 [doi]  [abs]
  17. 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
  18. 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]
  19. 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) [doi]  [abs]
  20. 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) [doi]  [abs]
  21. 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 [doi]  [abs]
  22. 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) [doi]  [abs]
  23. 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) [doi]  [abs]
  24. 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 [doi]  [abs]
  25. 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) [doi]  [abs]
  26. 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) [doi]  [abs]
  27. 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) [doi]  [abs]
  28. 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) [doi]
  29. 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)
  30. 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 [doi]  [abs]
  31. 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 [doi]  [abs]
  32. 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 [doi]  [abs]
  33. 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 [doi]  [abs]
  34. 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 [doi]  [abs]
  35. 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 [doi]  [abs]
  36. 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 [doi]  [abs]
  37. 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 [doi]  [abs]
  38. Lu, J; Thicke, K, Orbital minimization method with ℓ1 regularization, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103, Elsevier BV [doi]  [abs]
  39. Huang, Y; Lu, J; Ming, P, A Hybrid Global-local Numerical Method for Multiscale PDEs (April, 2017)  [abs]
  40. Li, L; Liu, J-G; Lu, J, Fractional stochastic differential equations satisfying fluctuation-dissipation theorem (April, 2017)  [abs]
  41. 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]
  42. 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 [doi]
  43. 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 [doi]  [abs]
  44. 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) [doi]  [abs]
  45. 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) [doi]
  46. 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 [doi]  [abs]
  47. 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) [doi]  [abs]
  48. 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) [doi]  [abs]
  49. 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 [doi]  [abs]
  50. 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) [doi]  [abs]
  51. 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 [doi]  [abs]
  52. 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 [doi]  [abs]
  53. 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]
  54. 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 [doi]  [abs]
  55. 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 [doi]  [abs]
  56. 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 [doi]  [abs]
  57. Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466, Elsevier BV [doi]  [abs]
  58. 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 (April, 2016), pp. 194-210, Elsevier BV, ISSN 0022-5096 [arXiv:1501.06254], [repository], [doi]  [abs]
  59. 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) [doi]  [abs]
  60. 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) [doi]  [abs]
  61. 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 (December, 2015), pp. 1391-1430, Springer Nature, ISSN 0938-8974 [arXiv:1405.4949], [doi]  [abs]
  62. 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 [doi]  [abs]
  63. 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 (July, 2015), pp. 55-63, Institute of Electrical and Electronics Engineers (IEEE), ISSN 1053-5888 [repository], [doi]
  64. 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 (July, 2015), pp. 141-167, Elsevier BV, ISSN 0021-9991 [arXiv:1409.0476], [doi]  [abs]
  65. Lu, J; Mendl, CB, Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation, Journal of Computational Physics, vol. 291 (June, 2015), pp. 303-316, Elsevier BV, ISSN 0021-9991 [arXiv:1408.1782], [doi]  [abs]
  66. 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 (March, 2015), pp. 032403, ISSN 1539-3755 [arXiv:1409.0046], [doi]  [abs]
  67. 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].) [arXiv:1303.1744], [doi]
  68. Lai, R; Lu, J; Osher, S, Density matrix minimization with ℓ1 regularization, Communications in Mathematical Sciences, vol. 13 no. 8 (January, 2015), pp. 2097-2117, International Press of Boston, ISSN 1539-6746 [arXiv:1403.1525], [doi]  [abs]
  69. 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 (January, 2015), pp. A609-A624, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275 [arXiv:1404.4729], [doi]  [abs]
  70. Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics, Communications in Mathematical Sciences, vol. 13 no. 5 (January, 2015), pp. 1051-1074, International Press of Boston, ISSN 1539-6746 [arXiv:1305.7205], [doi]  [abs]
  71. Yang, H; Lu, J; Ying, L, Crystal image analysis using 2D synchrosqueezed transforms, Multiscale Modeling & Simulation, vol. 13 no. 4 (January, 2015), pp. 1542-1572, Society for Industrial & Applied Mathematics (SIAM), ISSN 1540-3459 [arXiv:1402.1262], [repository], [doi]  [abs]
  72. 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 [arXiv:1410.7757], [doi]  [abs]
  73. 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 [doi]  [abs]
  74. 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 (October, 2014), pp. 1605-1617, WILEY, ISSN 0010-3640 [doi]
  75. 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 (September, 2014), pp. 124104-124104, AIP Publishing, ISSN 0021-9606 [doi]  [abs]
  76. 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. 044109-044109, AIP Publishing, ISSN 0021-9606 [arXiv:1404.4225], [doi]  [abs]
  77. 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 [doi]
  78. 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 (March, 2014), pp. 1-27, Springer Nature, ISSN 0010-3616 [doi]  [abs]
  79. 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 (January, 2014), pp. 110-137, MDPI AG (Special issue on Molecular Dynamics Simulation.) [doi]  [abs]
  80. Lu, J; Ming, P, Stability of a force-based hybrid method with planar sharp interface, Siam Journal on Numerical Analysis, vol. 52 no. 4 (January, 2014), pp. 2005-2026, Society for Industrial & Applied Mathematics (SIAM), ISSN 0036-1429 [doi]  [abs]
  81. 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 [doi]
  82. 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 (February, 2013), pp. 084105 [23464138], [doi]  [abs]
  83. Lu, J; Ming, P, Convergence of a Force-Based Hybrid Method in Three Dimensions, Communications on Pure and Applied Mathematics, vol. 66 no. 1 (January, 2013), pp. 83-108, WILEY, ISSN 0010-3640 [doi]
  84. 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 [doi]  [abs]
  85. 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.) [doi]
  86. 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 [doi]
  87. 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 [doi]  [abs]
  88. 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 [doi]  [abs]
  89. 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 [doi]
  90. 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 [doi]
  91. E, W; Lu, J, The Kohn-Sham equation for deformed crystals, Memoirs of the American Mathematical Society, vol. 221 no. 1040 (2012), pp. 1-1, American Mathematical Society (AMS), ISSN 0065-9266 [doi]
  92. 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 (May, 2011), pp. 204105-204105, AIP Publishing, ISSN 0021-9606 [doi]
  93. Lin, L; Lu, J; Ying, L, Fast construction of hierarchical matrix representation from matrix-vector multiplication, Journal of Computational Physics, vol. 230 no. 10 (May, 2011), pp. 4071-4087, Elsevier BV, ISSN 0021-9991 [doi]  [abs]
  94. 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 (March, 2011), pp. 243-261, Elsevier BV, ISSN 1063-5203 [doi]  [abs]
  95. 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 (February, 2011), pp. 1-19, Association for Computing Machinery (ACM), ISSN 0098-3500 [doi]
  96. 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 (February, 2011), pp. 407-433, Springer Nature, ISSN 0003-9527 [doi]
  97. 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 (January, 2011), pp. 1329-1351, Society for Industrial & Applied Mathematics (SIAM), ISSN 1064-8275 [doi]
  98. 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 [doi]
  99. 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 [doi]  [abs]
  100. E, W; Lu, J, Multiscale modeling, Scholarpedia, vol. 6 no. 10 (2011), pp. 11527-11527, Scholarpedia [Multiscale_modeling], [doi]
  101. 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 (November, 2010), pp. 1432-1468, WILEY, ISSN 0010-3640 [doi]
  102. 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 (January, 2010), pp. 1273-1278, Proceedings of the National Academy of Sciences, ISSN 0027-8424 [doi]  [abs]
  103. 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 [doi]
  104. 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 (March, 2009), pp. 115133, ISSN 1098-0121 [doi]
  105. 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 [doi]
  106. 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 [doi]
  107. 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  [abs]
  108. E, W; Lu, J, The Elastic Continuum Limit of the Tight Binding Model*, Chinese Annals of Mathematics, Series B, vol. 28 no. 6 (December, 2007), pp. 665-676, Springer Nature, ISSN 0252-9599 [doi]
  109. 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 [doi]
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