Publications of Jianfeng Lu    :chronological  combined  bibtex listing:

Papers Published

1. 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
2. with Weinan E, The Kohn-Sham equation for deformed crystals, Mem. Amer. Math. Soc., vol. 221 no. 1040 (2013)
3. 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
4. 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
5. 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
6. with Xu Yang, Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods, Multiscale Model. Simul., vol. 10 (2012), pp. 451
7. 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
8. with Xu Yang, Convergence of frozen Gaussian approximation for high frequency wave propagation, Comm. Pure Appl. Math., vol. 65 (2012), pp. 759
9. with Weinan E, Multiscale modeling, Scholarpedia, vol. 6 (2011), pp. 11527 [Multiscale_modeling]
10. with Frank Noe, Marco Sarich, Christof Schutte, Eric Vanden-Eijnden, Markov state models based on milestoning, J. Chem. Phys., vol. 134 (2011), pp. 204105
11. 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
12. with Lin Lin, Lexing Ying, Fast construction of hierarchical matrix representation from matrix-vector multiplication, J. Comput. Phys., vol. 230 (2011), pp. 4071
13. with Xu Yang, Frozen Gaussian approximation for high frequency wave propagation, Commun. Math. Sci., vol. 9 (2011), pp. 663
14. with Ingrid Daubechies, Hau-Tieng Wu, Synchrosqueezed wavelet transforms: a tool for empirical mode decomposition, Appl. Comp. Harmonic Anal., vol. 30 (2011), pp. 243
15. with Weinan E, Xu Yang, Effective Maxwell equations from time-dependent density functional theory, Acta Math. Sin., vol. 32 (2011), pp. 339
16. 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
17. 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)
18. 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
19. with Weinan E, Tiejun Li, Localized basis of eigen-subspaces and operator compression, Proc. Natl. Acad. Sci. USA, vol. 107 (2010), pp. 1273
20. 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
21. 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
22. 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
23. 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
24. with Weinan E, Carlos J. Garcia-Cervera, Weiqing Ren, Sequential multiscale modelling using sparse representation, Commun. Comput. Phys., vol. 4 (2008), pp. 1025-1033
25. 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
26. 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
27. with Weinan E, Seamless multiscale modelling via dynamics on fiber bundles, Commun. Math. Sci., vol. 5 (2007), pp. 649-663
28. with Weinan E, The elastic continuum limit of the tight binding model, Chin. Ann. Math. Ser. B, vol. 28 (2007), pp. 665-675
29. with Weinan E, Jerry Z. Yang, Uniform accuracy of the quasicontinuum method, Phys. Rev. B, vol. 74 (2006), pp. 214115

Papers Accepted

1. with Weinan E, Yuan Yao, The Landscape of Complex Networks -- Critical Nodes and a Hierarchical Decomposition, Methods Appl. Anal. (2013)
2. with Felix Otto, Nonexistence of minimizer for Thomas-Fermi-Dirac-von Weizsacker model, Comm. Pure Appl. Math. (2012)
3. with Weinan E, Xu Yang, Asymptotic analysis of the quantum dynamics: Bloch-Wigner transform and Bloch dynamics, Acta Math. Appl. Sin. Engl. Ser. (2010)

Papers Submitted

1. with Sergey Fomel, Xu Yang, Seismic modeling using the frozen Gaussian approximation (2013) (submitted to SEG Technical Program Expanded Abstracts 2013.)
2. with James Nolen, Reactive trajectories and the transition path processes (2013)
3. with Robert V. Kohn, Ben Schweizer, Michael I. Weinstein, A variational perspective on cloaking by anomalous localized resonance (2012)
4. with Pingbing Ming, Stability of a force-based hybrid method in three dimension with sharp interface (2012)