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

Papers Published

1. with Lin Lin and Sihong Shao, Analysis of the time reversible Born-Oppenheimer molecular dynamics, edited by G. Ciccotti, M. Ferrario and Ch. Schuette, Entropy, vol. 16 (2014), pp. 110-137 (Special issue on Molecular Dynamics Simulation.) [doi]
2. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Comm. Math. Phys., vol. 328 no. 1 (2014), pp. 1-27 [doi]
3. Yang Yang, Degao Peng, Jianfeng Lu, Weitao Yang, Excitation Energies from Particle-Particle Random Phase Approximation: Davidson Algorithm and Benchmark Studies, J. Chem. Phys., vol. 141 (2014), pp. 124104 [doi]
4. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math., vol. 67 (2014), pp. 1605--1617 [doi]
5. with Weinan E, Mathematical theory of solids: from quantum mechanics to continuum models, Discret. Contin. Dyn. Sys., vol. 34 (2014), pp. 5085-5097 [doi]
6. with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation, J. Chem. Phys., vol. 141 (2014), pp. 044109 [arXiv:1404.4225], [doi]
7. with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal., vol. 20 no. 4 (2013), pp. 383--404 (Special issue dedicated to Stan Osher's 70th birthday.) [doi]
8. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation, in SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682 [arXiv:1304.3542]
9. with Pingbing Ming, Convergence of a force-based hybrid method for atomistic and continuum models in three dimension, Comm. Pure Appl. Math., vol. 66 (2013), pp. 83-108 [doi]
10. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013) [doi]
11. with Eric Vanden-Eijnden, Infinite swapping replica exchange molecular dynamics leads to a simple simulation patch using mixture potentials, J. Chem. Phys., vol. 138 (2013), pp. 084105 [doi]
12. with Weinan E, Xu Yang, Asymptotic analysis of the quantum dynamics: Bloch-Wigner transform and Bloch dynamics, Acta Math. Appl. Sin. Engl. Ser., vol. 29 (2013), pp. 465--476 [doi]
13. with Weinan E, Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model, J. Math. Phys., vol. 53 (2012), pp. 115615 [doi]
14. with Weinan E, Lin Lin, Lexing Ying, Optimized local basis function for Kohn-Sham density functional theory, J. Comput. Phys., vol. 231 (2012), pp. 4515
15. with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451 [doi]
16. 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, J. Comput. Phys., vol. 231 (2012), pp. 2140 [doi]
17. with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759 [doi]
18. with Weinan E, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
19. with Frank Noe, Marco Sarich, Christof Schutte, Eric Vanden-Eijnden, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105 [doi]
20. with Weinan E, Lin Lin, Chao Yang, Lexing Ying, A fast parallel algorithm for selected inversion of structured sparse matrix with application to 2D electronic structure calculations, SIAM J. Sci. Comput., vol. 33 (2011), pp. 1329
21. with Lin Lin, Lexing Ying, Fast construction of hierarchical matrix representation from matrix-vector multiplication, J. Comput. Phys., vol. 230 (2011), pp. 4071
22. with Xu Yang, Frozen Gaussian approximation for high frequency wave propagation, Commun. Math. Sci., vol. 9 (2011), pp. 663 [doi]
23. with Ingrid Daubechies, Hau-Tieng Wu, Synchrosqueezed wavelet transforms: a tool for empirical mode decomposition, Appl. Comp. Harmonic Anal., vol. 30 (2011), pp. 243 [doi]
24. with Weinan E, Xu Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339
25. with Weinan E, The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born rule, Arch. Ration. Mech. Anal., vol. 199 (2011), pp. 407 [doi]
26. with Weinan E, Lin Lin, Juan Meza, Chao Yang, Lexing Ying, SelInv - an algorithm for selected inversion of a sparse symmetric matrix, ACM Trans. Math. Software, vol. 37 no. 40 (2011)
27. with Weinan E, The electronic structure of smoothly deformed crystals: Cauchy-Born rule for nonlinear tight-binding model, Comm. Pure Appl. Math., vol. 63 (2010), pp. 1432
28. with Weinan E, Tiejun Li, Localized basis of eigen-subspaces and operator compression, Proc. Natl. Acad. Sci. USA, vol. 107 (2010), pp. 1273
29. with Roberto Car, Weinan E, Lin Lin, Multipole representation of the Fermi operator with application to the electronic structure analysis of metallic systems, Phys. Rev. B, vol. 79 (2009), pp. 115133
30. 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
31. 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
32. with Weinan E, Carlos J. Garcia-Cervera, Yulin Xuan, A linear scaling subspace iteration algorithm with optimally localized non-orthogonal wave functions for Kohn-Sham density functional theory, Phys. Rev. B, vol. 79 (2009), pp. 115110
33. with Weinan E, Carlos J. Garcia-Cervera, Weiqing Ren, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
34. with Weinan E, Carlos J. Garcia-Cervera, Asymptotics-based sub-linear scaling algorithms and application to the study of the electronic structure of materials, Commun. Math. Sci., vol. 5 (2007), pp. 999-1024
35. with Weinan E, The continuum limit and QM-continuum approximation of quantum mechanical models of solids, Commun. Math. Sci., vol. 5 (2007), pp. 679--696
36. with Weinan E, Seamless multiscale modelling via dynamics on fiber bundles, Commun. Math. Sci., vol. 5 (2007), pp. 649-663
37. with Weinan E, The elastic continuum limit of the tight binding model, Chin. Ann. Math. Ser. B, vol. 28 (2007), pp. 665-675
38. with Weinan E, Jerry Z. Yang, Uniform accuracy of the quasicontinuum method, Phys. Rev. B, vol. 74 (2006), pp. 214115

Papers Accepted

1. with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields (2014)
2. with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization, Commun. Math. Sci. (2014) [arXiv:1403.1525]
3. with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media, SIAM J. Sci. Comput. (2014) [arXiv:1404.4729]
4. with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics, Commun. Math. Sci. (2013)
5. with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface, SIAM J. Numer. Anal. (2012)

Papers Submitted

1. Haizhao Yang, Jianfeng Lu, William Brown, Ingrid Daubechies, Lexing Ying, Quantitative canvas weave analysis using 2D synchrosqueezed transforms (2014)
2. with Jingrun Chen, Analysis of the divide-and-conquer method for electronic structure calculations (2014) [arXiv:1411.0066]
3. with Lexing Ying, Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost (2014) [arXiv:1410.7757]
4. Yin Xian, Andrew Thompson, Qiang Qiu, Loren Nolte, Jianfeng Lu, Robert Calderbank, Classification of whale vocalizations using the Weyl transform (2014)
5. with Qin Li and Weiran Sun, Diffusion approximations of linear transport equations: Asymptotics and numerics (2014) [arXiv:1409.0476]
6. with Jian-Guo Liu and Dionisios Margetis, Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions (2014) [arXiv:1409.0046]
7. with Christian B. Mendl, Numerical scheme for a spatially inhomogeneous matrix-valued quantum Boltzmann equation (2014) [arXiv:1408.1782]
8. with Qin Li, Weiran Sun, A convergent method for linear half-space kinetic equation (2014) [arXiv:1408.6630]
9. with Bin Hu, Dynamic production capacity management with price skimming (2014)
10. with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezed transforms (2014) [arXiv:1402.1262]
11. with Vitaly Moroz, Cyrill B. Muratov, Orbital-free density functional theory of out-of-plane charge screening in graphene (2014) [arXiv:1405.4949]

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