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## Publications of Jianfeng Lu    :chronological  alphabetical  combined  bibtex listing:

Papers Published

1. with Lexing Ying, 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, ISSN 0021-9991 [arXiv:1410.7757], [doi]
2. Haizhao Yang, Jianfeng Lu, William Brown, Ingrid Daubechies, Lexing Ying, 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, ISSN 1053-5888 [doi]
3. with Qin Li and Weiran Sun, Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics, Journal of Computational Physics, vol. 292 (2015), pp. 141-167, ISSN 0021-9991 [arXiv:1409.0476], [doi]
4. with Vitaly Moroz, Cyrill B. Muratov, Orbital-Free Density Functional Theory of Out-of-Plane Charge Screening in Graphene, Journal of Nonlinear Science, vol. 25 (2015), pp. 1391--1430, ISSN 0938-8974 [arXiv:1405.4949], [doi]
5. with Christian B. Mendl, Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation, Journal of Computational Physics, vol. 291 (2015), pp. 303-316, ISSN 0021-9991 [arXiv:1408.1782], [doi]
6. with Jian-Guo Liu and Dionisios Margetis, 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 [arXiv:1409.0046], [doi]  [abs]
7. J Lu and J Nolen, Reactive trajectories and the transition path process, Probability Theory and Related Fields, vol. 161 no. 1-2 (February, 2015), pp. 195-244, ISSN 0178-8051 [doi]
8. with Jingchen Liu, Xiang Zhou, Efficient Rare Event Simulation for Failure Problems in Random Media, SIAM Journal on Scientific Computing, vol. 37 no. 2 (2015), pp. A609-A624, ISSN 1064-8275 [arXiv:1404.4729], [doi]
9. with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields, vol. 161 no. 1-2 (2015), pp. 195-244 ([erratum].) [arXiv:1303.1744], [doi]
10. with Rongjie Lai, Stanley Osher, Density matrix minimization with ${\ell}_1$ regularization, Communications in Mathematical Sciences, vol. 13 no. 8 (2015), pp. 2097-2117, ISSN 1539-6746 [arXiv:1403.1525], [doi]
11. with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrödinger equation: convergence, instability, and dynamics, Communications in Mathematical Sciences, vol. 13 no. 5 (2015), pp. 1051-1074, ISSN 1539-6746 [arXiv:1305.7205], [doi]
12. with Felix Otto, 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, ISSN 0010-3640 [doi]
13. Yang Yang, Degao Peng, Jianfeng Lu, Weitao Yang, 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, ISSN 0021-9606 [doi]
14. with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation, The Journal of Chemical Physics, vol. 141 no. 4 (July, 2014), pp. 044109-044109, ISSN 0021-9606 [arXiv:1404.4225], [doi]
15. with Weinan E, Mathematical theory of solids: From quantum mechanics to continuum models, Discrete and Continuous Dynamical Systems, vol. 34 no. 12 (June, 2014), pp. 5085-5097, ISSN 1078-0947 [doi]
16. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A Variational Perspective on Cloaking by Anomalous Localized Resonance, Communications in Mathematical Physics, vol. 328 no. 1 (2014), pp. 1-27, ISSN 0010-3616 [doi]
17. with Lin Lin and Sihong Shao, 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 (Special issue on Molecular Dynamics Simulation.) [doi]
18. with Pingbing Ming, Stability Of A Force-Based Hybrid Method With Planar Sharp Interface, SIAM Journal on Numerical Analysis, vol. 52 no. 4 (2014), pp. 2005-2026, ISSN 0036-1429 [doi]
19. with Eric Vanden-Eijnden, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials., J Chem Phys, vol. 138 no. 8 (2013), pp. 084105 [23464138], [doi]  [abs]
20. with Pingbing Ming, Convergence of a Force-Based Hybrid Method in Three Dimensions, Communications on Pure and Applied Mathematics, vol. 66 no. 1 (2013), pp. 83-108, ISSN 0010-3640 [doi]
21. with Weinan E, Xu Yang, Asymptotic analysis of quantum dynamics in crystals: The Bloch-Wigner transform, Bloch dynamics and Berry phase, Acta Mathematicae Applicatae Sinica, vol. 29 no. 3 (2013), pp. 465-476, ISSN 0168-9673 [doi]  [abs]
22. with Weinan E, Yuan Yao, 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]
23. with Weinan E, Lin Lin, Lexing Ying, Optimized local basis set for Kohn–Sham density functional theory, Journal of Computational Physics, vol. 231 no. 13 (May, 2012), pp. 4515-4529, ISSN 0021-9991 [doi]
24. with Weinan E, Lin Lin, Lexing Ying, 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, ISSN 0021-9991 [doi]
25. with Weinan E, The Kohn-Sham equation for deformed crystals, Memoirs of the American Mathematical Society, vol. 221 no. 1040 (2013), pp. 1-1, ISSN 0065-9266 [doi]
26. with Xu Yang, Convergence of frozen Gaussian approximation for high-frequency wave propagation, Communications on Pure and Applied Mathematics, vol. 65 no. 6 (2012), pp. 759-789, ISSN 0010-3640 [doi]  [abs]
27. with Xu Yang, Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods, Multiscale Modeling and Simulation, vol. 10 no. 2 (2012), pp. 451-472, ISSN 1540-3459 [doi]  [abs]
28. with Weinan E, Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model, Journal of Mathematical Physics, vol. 53 no. 11 (2012), pp. 115615-115615, ISSN 0022-2488 [doi]
29. with Ingrid Daubechies, Hau-Tieng Wu, Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool, Applied and Computational Harmonic Analysis, vol. 30 no. 2 (2011), pp. 243-261, ISSN 1063-5203 [doi]
30. with Weinan E, Lin Lin, Juan Meza, Chao Yang, Lexing Ying, SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix, ACM Transactions on Mathematical Software, vol. 37 no. 4 (2011), pp. 1-19, ISSN 0098-3500 [doi]
31. with Weinan E, 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, ISSN 0003-9527 [doi]
32. with Weinan E, Lin Lin, Chao Yang, Lexing Ying, 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, ISSN 1064-8275 [doi]
33. with Weinan E, Xu Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339
34. with Lin Lin, Lexing Ying, Fast construction of hierarchical matrix representation from matrix-vector multiplication, Journal of Computational Physics, vol. 230 no. 10 (2011), pp. 4071-4087, ISSN 0021-9991 [doi]  [abs]
35. with Xu Yang, Frozen Gaussian approximation for high frequency wave propagation, Communications in Mathematical Sciences, vol. 9 no. 3 (2011), pp. 663-683, ISSN 1539-6746 [doi]  [abs]
36. with Frank Noe, Marco Sarich, Christof Schutte, Eric Vanden-Eijnden, Markov state models based on milestoning, The Journal of Chemical Physics, vol. 134 no. 20 (2011), pp. 204105-204105, ISSN 0021-9606 [doi]
37. with Weinan E, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
38. with Weinan E, 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, ISSN 0010-3640 [doi]
39. with Weinan E, Tiejun Li, Localized bases of eigensubspaces and operator compression, Proceedings of the National Academy of Sciences, vol. 107 no. 4 (2010), pp. 1273-1278, ISSN 0027-8424 [doi]
40. with Weinan E, Carlos J. Garcia-Cervera, Yulin Xuan, 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, ISSN 1098-0121 [doi]
41. with Roberto Car, Weinan E, Lin Lin, 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 [doi]
42. with Roberto Car, Weinan E, Lin Lin, Lexing Ying, 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
43. with Weinan E, Lin Lin, Lexing Ying, Pole-based approximation of the Fermi-Dirac function, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 729-742
44. with Weinan E, Carlos J. Garcia-Cervera, Weiqing Ren, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
45. with Weinan E, The Elastic Continuum Limit of the Tight Binding Model*, Chinese Annals of Mathematics, Series B, vol. 28 no. 6 (2007), pp. 665-676, ISSN 0252-9599 [doi]
46. with Weinan E, Carlos J. Garcia-Cervera, A sub-linear scaling algorithm for computing the electronic structure of materials, Communications in Mathematical Sciences, vol. 5 no. 4 (2007), pp. 999-1026, ISSN 1539-6746 [doi]
47. with Weinan E, Seamless multiscale modeling via dynamics on fiber bundles, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 649-663, ISSN 1539-6746 [doi]
48. with Weinan E, 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, ISSN 1539-6746 [doi]
49. with Weinan E, Jerry Z. Yang, Uniform accuracy of the quasicontinuum method, Physical Review B, vol. 74 no. 21 (2006), pp. 214115, ISSN 1098-0121 [doi]

Papers Accepted

1. with Chen Li and Weitao Yang, Gentlest ascent dynamics for calculating first excited state and exploring energy landscape of Kohn-Sham density functionals, J. Chem. Phys. (2015)
2. with Jingrun Chen, Analysis of the divide-and-conquer method for electronic structure calculations, Math. Comp. (2014) [arXiv:1411.0066]
3. with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezed transforms, Multiscale Model. Simul. (2014) [arXiv:1402.1262]

Papers Submitted

1. with Lin Lin, Sharp decay estimates of discretized Green's functions for Schrodinger type operators (2015)
2. with Lexing Ying, Sparsifying preconditioner for soliton calculations (2015) [arXiv:1511.03756]
3. with Qin Li and Weiran Sun, Half-space kinetic equations with general boundary conditions (2015) [arXiv:1509.03225]
4. with Ricardo Delgadillo and Xu Yang, Gauge-invariant frozen Gaussian approximation method for the Schrodinger equation with periodic potentials (2015) [arXiv:1509.05552]
5. with Felix Otto, An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (2015) [arXiv:1508.07172]
6. with Ricardo Delgadillo and Xu Yang, Frozen Gaussian approximation for high frequency wave propagation in periodic media (2015) [arXiv:1504.08051]
7. with Rongjie Lai, Localized density matrix minimization and linear scaling algorithms (2015) [arXiv:1506.01610]
8. with Xiantao Li, Traction boundary conditions for molecular static simulations (2015) [arXiv:1503.03555]
9. with Benedikt Wirth and Haizhao Yang, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis (2015) [arXiv:1501.06254]
10. with Qin Li and Weiran Sun, A convergent method for linear half-space kinetic equation (2014) [arXiv:1408.6630]
11. with Bin Hu, Dynamic production capacity management with price skimming (2014)

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