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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.)
  2. 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.)
  3. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation, in SEG Technical Program Expanded Abstracts 2013 (2013), pp. 4677-4682
  4. 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
  5. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013)
  6. 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
  7. 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
  8. 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
  9. 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
  10. with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451
  11. 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
  12. with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759
  13. with Weinan E, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
  14. with Frank Noe, Marco Sarich, Christof Schutte, Eric Vanden-Eijnden, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105
  15. 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
  16. with Lin Lin, Lexing Ying, Fast construction of hierarchical matrix representation from matrix-vector multiplication, J. Comput. Phys., vol. 230 (2011), pp. 4071
  17. with Xu Yang, Frozen Gaussian approximation for high frequency wave propagation, Commun. Math. Sci., vol. 9 (2011), pp. 663
  18. with Ingrid Daubechies, Hau-Tieng Wu, Synchrosqueezed wavelet transforms: a tool for empirical mode decomposition, Appl. Comp. Harmonic Anal., vol. 30 (2011), pp. 243
  19. with Weinan E, Xu Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339
  20. 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
  21. 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)
  22. 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
  23. with Weinan E, Tiejun Li, Localized basis of eigen-subspaces and operator compression, Proc. Natl. Acad. Sci. USA, vol. 107 (2010), pp. 1273
  24. 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
  25. 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
  26. 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
  27. 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
  28. with Weinan E, Carlos J. Garcia-Cervera, Weiqing Ren, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
  29. 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
  30. 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
  31. with Weinan E, Seamless multiscale modelling via dynamics on fiber bundles, Commun. Math. Sci., vol. 5 (2007), pp. 649-663
  32. with Weinan E, The elastic continuum limit of the tight binding model, Chin. Ann. Math. Ser. B, vol. 28 (2007), pp. 665-675
  33. with Weinan E, Jerry Z. Yang, Uniform accuracy of the quasicontinuum method, Phys. Rev. B, vol. 74 (2006), pp. 214115

Papers Accepted

  1. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2014)
  2. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Comm. Math. Phys. (2014)
  3. with James Nolen, Reactive trajectories and the transition path processes, Probab. Theory Related Fields (2014)

Papers Submitted

  1. with Qin Li, Weiran Sun, A convergent method for linear half-space kinetic equation (2014)
  2. with Bin Hu, Dynamic production capacity management with price skimming (2014)
  3. with Rongjie Lai, Stanley Osher, Density matrix minimization with $\ell_1$ regularization (2014)
  4. with Haizhao Yang, Lexing Ying, Crystal image analysis using 2D synchrosqueezing transforms (2014)
  5. with Jeremy L. Marzuola, Strang splitting methods for a quasilinear Schrodinger equation - convergence, instability and dynamics (2013)
  6. with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface (2012)

Preprints

  1. with Eric Vanden-Eijnden, Exact dynamical coarse-graining without time-scale separation (2014)
  2. with Jingchen Liu, Xiang Zhou, Efficient rare event simulation for failure problems in random media (2014)
  3. with Vitaly Moroz, Cyrill B. Muratov, Orbital-free density functional theory of out-of-plane charge screening in graphene (2014)

 

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