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Publications of Jianfeng Lu    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. J Lu, V Moroz and CB Muratov, 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, ISSN 0938-8974 [arXiv:1405.4949], [doi]
  2. C Li, J Lu and W Yang, 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]
  3. H Yang, J Lu, WP Brown, I Daubechies and L 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]
  4. Q Li, J Lu and W 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]  [abs]
  5. J Lu and CB 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. J Lu, JG Liu and D 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 ([erratum].) [arXiv:1303.1744], [doi]
  8. J Liu, J Lu and X 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. H Yang, J Lu and L Ying, Crystal Image Analysis Using 2D Synchrosqueezed Transforms, Multiscale Modeling & Simulation, vol. 13 no. 4 (2015), pp. 1542-1572, ISSN 1540-3459 [arXiv:1402.1262], [DukeSpace], [doi]
  10. J Lu and L 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]  [abs]
  11. R Lai, J Lu and S 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]
  12. J Lu and JL 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]
  13. J Lu and F 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]
  14. Y Yang, D Peng, J Lu and W 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]  [abs]
  15. J Lu and E 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]
  16. W E and J Lu, 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]
  17. RV Kohn, J Lu, B Schweizer and MI 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]
  18. L Lin, J Lu and S 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]
  19. J Lu and P 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]
  20. J Lu and E 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]
  21. J Lu and P 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]
  22. W E, JF Lu and X 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]
  23. W E, J Lu and Y 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]
  24. L Lin, J Lu, L Ying and W E, 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]
  25. L Lin, J Lu, L Ying and W E, 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]
  26. W E and J Lu, 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]
  27. J Lu and X 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]
  28. J Lu and X 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]
  29. W E and J Lu, 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]
  30. I Daubechies, J Lu and H-T 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]  [abs]
  31. L Lin, C Yang, JC Meza, J Lu, L Ying and W E, 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]
  32. W E and J Lu, 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]
  33. L Lin, C Yang, J Lu, L Ying and W E, 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]
  34. W E, J Lu and X Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339-339
  35. L Lin, J Lu and L 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]
  36. J Lu and X 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]
  37. C Schütte, F Noé, J Lu, M Sarich and E 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]
  38. W E and J Lu, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
  39. W E and J Lu, 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]
  40. W E, T Li and J Lu, 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]
  41. CJ García-Cervera, J Lu, Y Xuan and W E, 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]
  42. L Lin, J Lu, R Car and W E, 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]
  43. L Lin, J Lu, L Ying, R Car and W E, 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
  44. L Lin, J Lu, L Ying and W E, Pole-based approximation of the Fermi-Dirac function, Chin. Ann. Math. Ser. B, vol. 30 (2009), pp. 729-742
  45. CJ Garcia-Cervera, W Ren, J Lu and W E, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
  46. W E and J Lu, 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]
  47. W E, CJ García-Cervera and J Lu, 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]
  48. W E and J Lu, Seamless multiscale modeling via dynamics on fiber bundles, Communications in Mathematical Sciences, vol. 5 no. 3 (2007), pp. 649-663, ISSN 1539-6746 [doi]
  49. W E and J Lu, 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]
  50. W E, J Lu and JZ 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 J Lu, B Wirth and H Yang, Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis, edited by Bhattacharya, K, Journal of the Mechanics and Physics of Solids, vol. 89 (2016), pp. 194-210, Elsevier, ISSN 0022-5096 [arXiv:1501.06254], [DukeSpace], [doi]
  2. with Qin Li and Weiran Sun, Half-space kinetic equations with general boundary conditions, Math. Comp. (2015) [arXiv:1509.03225]
  3. with Jingrun Chen, Analysis of the divide-and-conquer method for electronic structure calculations, Math. Comp. (2015) [arXiv:1411.0066]
  4. with Rongjie Lai, Localized density matrix minimization and linear scaling algorithms, J. Comput. Phys. (2015) [arXiv:1506.01610]

Papers Submitted

  1. Bruno Cornelis, Haizhao Yang, Alex Goodfriend, Noelle Ocon, Jianfeng Lu, and Ingrid Daubechies, Removal of canvas patterns in digital acquisitions of paintings (2016)
  2. with Zhennan Zhou, Frozen Gaussian approximation with surface hopping for mixed quantum-classical dynamics: A mathematical justification of surface hopping algorithms (2016) [arXiv:1602.06459]
  3. with Zhennan Zhou, Bloch dynamics with second order Berry phase correction (2015) [arXiv:1512.07357]
  4. with Lexing Ying, Fast algorithm for periodic density fitting for Bloch waves (2015) [arXiv:1512.00432]
  5. with Lin Lin, Sharp decay estimates of discretized Green's functions for Schrodinger type operators (2015) [arXiv:1511.07957]
  6. with Lexing Ying, Sparsifying preconditioner for soliton calculations (2015) [arXiv:1511.03756]
  7. with Ricardo Delgadillo and Xu Yang, Gauge-invariant frozen Gaussian approximation method for the Schrodinger equation with periodic potentials (2015) [arXiv:1509.05552]
  8. with Felix Otto, An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus (2015) [arXiv:1508.07172]
  9. with Ricardo Delgadillo and Xu Yang, Frozen Gaussian approximation for high frequency wave propagation in periodic media (2015) [arXiv:1504.08051]
  10. with Xiantao Li, Traction boundary conditions for molecular static simulations (2015) [arXiv:1503.03555]
  11. with Qin Li and Weiran Sun, A convergent method for linear half-space kinetic equation (2014) [arXiv:1408.6630]

 

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