## Publications of Jianfeng Lu    :chronological  alphabetical  by type  bibtex listing:

Papers Published
1. Li, L; Liu, J-G; Lu, J, Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem, Journal of Statistical Physics, vol. 169 no. 2 (October, 2017), pp. 316-339 [doi] [abs] .
2. Yu, VW-Z; 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 (September, 2017) [doi] .
3. Lu, J; Thicke, K, Cubic scaling algorithms for RPA correlation using interpolative separable density fitting, Journal of Computational Physics (September, 2017) [doi] .
4. Lu, J; Steinerberger, S, A variation on the Donsker-Varadhan inequality for the principal eigenvalue., Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, vol. 473 no. 2204 (August, 2017), pp. 20160877 [doi] [abs] .
5. 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 [doi] .
6. Gao, Y; Liu, J-G; 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 [doi] .
7. Li, C; Lu, J; Yang, W, On extending Kohn-Sham density functionals to systems with fractional number of electrons., Journal of Chemical Physics, vol. 146 no. 21 (June, 2017), pp. 214109 [doi] [abs] .
8. Lu, J; Thicke, K, Orbital minimization method with ℓ 1 regularization, Journal of Computational Physics, vol. 336 (May, 2017), pp. 87-103 [doi] .
9. Lu, J; Zhou, Z, Path integral molecular dynamics with surface hopping for thermal equilibrium sampling of nonadiabatic systems., Journal of Chemical Physics, vol. 146 no. 15 (April, 2017), pp. 154110 [doi] [abs] .
10. 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 [doi] .
11. 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 [doi] .
12. Lu, J; Yang, H, Preconditioning Orbital Minimization Method for Planewave Discretization, Multiscale Modeling & Simulation, vol. 15 no. 1 (January, 2017), pp. 254-273 [doi] .
13. 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 [doi] .
14. Gao, Y; Liu, J-G; 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 [doi] [abs] .
15. 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, vol. 26 no. 1 (January, 2017), pp. 160-171 [doi] [abs] .
16. 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] .
17. Li, Q; Lu, J; Sun, W, Half-space kinetic equations with general boundary conditions, Mathematics of Computation, vol. 86 no. 305 (October, 2016), pp. 1269-1301 [doi] .
18. 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 USA, vol. 113 no. 42 (October, 2016), pp. 11744-11749 [doi] [abs] .
19. Lu, J; Zhou, Z, Improved sampling and validation of frozen Gaussian approximation with surface hopping algorithm for nonadiabatic dynamics., Journal of Chemical Physics, vol. 145 no. 12 (September, 2016), pp. 124109 [doi] [abs] .
20. 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 [doi] .
21. 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 [doi] .
22. Lai, R; Lu, J, Localized density matrix minimization and linear-scaling algorithms, Journal of Computational Physics, vol. 315 (June, 2016), pp. 194-210 [doi] .
23. Lu, J; Ying, L, Sparsifying preconditioner for soliton calculations, Journal of Computational Physics, vol. 315 (June, 2016), pp. 458-466 [doi] .
24. 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 [arXiv:1501.06254], [repository], [doi] [abs] .
25. Chen, J; Lu, J, Analysis of the divide-and-conquer method for electronic structure calculations, Mathematics of Computation, vol. 85 no. 302 (January, 2016), pp. 2919-2938 [doi] .
26. 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 [doi] .
27. 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 [arXiv:1405.4949], [doi] .
28. Li, C; Lu, J; Yang, W, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals., Journal of Chemical Physics, vol. 143 no. 22 (December, 2015), pp. 224110 [doi] [abs] .
29. 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 [repository], [doi] .
30. 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 [arXiv:1409.0476], [doi] [abs] .
31. 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 [arXiv:1408.1782], [doi] .
32. Lu, J; Liu, J-G; 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 [arXiv:1409.0046], [doi] [abs] .
33. 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([erratum].) [arXiv:1303.1744], [doi] .
34. 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 [arXiv:1404.4729], [doi] .
35. 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 [arXiv:1402.1262], [repository], [doi] .
36. 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 [arXiv:1410.7757], [doi] [abs] .
37. Lai, R; Lu, J; Osher, S, Density matrix minimization with ${\ell}_1$ regularization, Communications in Mathematical Sciences, vol. 13 no. 8 (2015), pp. 2097-2117 [arXiv:1403.1525], [doi] .
38. 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 [arXiv:1305.7205], [doi] .
39. Lu, J; Otto, F, Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model, Communications on Pure & Applied Mathematics, vol. 67 no. 10 (October, 2014), pp. 1605-1617 [doi] .
40. Yang, Y; Peng, D; Lu, J; Yang, W, Excitation energies from particle-particle random phase approximation: Davidson algorithm and benchmark studies., Journal of Chemical Physics, vol. 141 no. 12 (September, 2014), pp. 124104 [doi] [abs] .
41. Lu, J; Vanden-Eijnden, E, Exact dynamical coarse-graining without time-scale separation, Journal of Chemical Physics, vol. 141 no. 4 (July, 2014), pp. 044109-044109 [arXiv:1404.4225], [doi] .
42. E, W; Lu, J, Mathematical theory of solids: From quantum mechanics to continuum models, Discrete and Continuous Dynamical Systems, vol. 34 no. 12 (June, 2014), pp. 5085-5097 [doi] .
43. 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 (May, 2014), pp. 1-27 [doi] .
44. Lin, L; Lu, J; Shao, S, Analysis of Time Reversible Born-Oppenheimer Molecular Dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy (Basel, Switzerland), vol. 16 no. 1 (January, 2014), pp. 110-137(Special issue on Molecular Dynamics Simulation.) [doi] .
45. 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 [doi] .
46. Lu, J; Otto, F, Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model, Communications on Pure & Applied Mathematics, vol. 67 no. 10 (2014), pp. 1605-1617 [doi] .
47. Lu, J; Vanden-Eijnden, E, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials., Journal of Chemical Physics, vol. 138 no. 8 (February, 2013), pp. 084105 [23464138], [doi] [abs] .
48. Lu, J; Ming, P, Convergence of a Force-Based Hybrid Method in Three Dimensions, Communications on Pure & Applied Mathematics, vol. 66 no. 1 (January, 2013), pp. 83-108 [doi] .
49. 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 [doi] [abs] .
50. 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(Special issue dedicated to Stan Osher's 70th birthday.) [doi] .
51. 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 [doi] .
52. 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 [doi] .
53. 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 [doi] .
54. 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 [doi] .
55. Lu, J; Yang, X, Convergence of frozen Gaussian approximation for high-frequency wave propagation, Communications on Pure & Applied Mathematics, vol. 65 no. 6 (2012), pp. 759-789 [doi] [abs] .
56. Lu, J; Yang, X, Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods, Multiscale Modeling & Simulation, vol. 10 no. 2 (2012), pp. 451-472 [doi] [abs] .
57. Schütte, C; Noé, F; Lu, J; Sarich, M; Vanden-Eijnden, E, Markov state models based on milestoning, Journal of Chemical Physics, vol. 134 no. 20 (May, 2011), pp. 204105-204105 [doi] .
58. Daubechies, I; Lu, J; Wu, H-T, Synchrosqueezed Wavelet Transforms: a Tool for Empirical Mode Decomposition, vol. 30 no. 2 (March, 2011), pp. 243-261 [doi] [abs] .
59. 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 [doi] .
60. 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 [doi] .
61. 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 [doi] .
62. E, W; Lu, J; Yang, X, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339-339 .
63. 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 [doi] [abs] .
64. Lu, J; Yang, X, Frozen Gaussian approximation for high frequency wave propagation, Communications in Mathematical Sciences, vol. 9 no. 3 (2011), pp. 663-683 [doi] [abs] .
65. E, W; Lu, J, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling] .
66. E, W; Lu, J, Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model, Communications on Pure & Applied Mathematics, vol. 63 no. 11 (November, 2010), pp. 1432-1468 [doi] .
67. E, W; Li, T; Lu, J, Localized bases of eigensubspaces and operator compression, Proceedings of the National Academy of Sciences of USA, vol. 107 no. 4 (January, 2010), pp. 1273-1278 [doi] .
68. 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 - Condensed Matter and Materials Physics, vol. 79 no. 11 (March, 2009), pp. 115110 [doi] .
69. 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 - Condensed Matter and Materials Physics, vol. 79 no. 11 (March, 2009), pp. 115133 [doi] .
70. 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 (2009), pp. 755-777 .
71. Lin, L; Lu, J; Ying, L; E, W, Pole-based approximation of the Fermi-Dirac function, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 729-742 .
72. Garcia-Cervera, CJ; Ren, W; Lu, J; E, W, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033 .
73. 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 [doi] .
74. 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 [doi] .
75. E, W; Lu, J, Seamless multiscale modeling via dynamics on fiber bundles, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 649-663 [doi] .
76. 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 [doi] .
77. E, W; Lu, J; Yang, JZ, Uniform accuracy of the quasicontinuum method, Physical Review B - Condensed Matter and Materials Physics, vol. 74 no. 21 (December, 2006), pp. 214115 [doi] .