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Volumn 12, Issue 2, 2013, Pages 123-133

Patchwork algorithm for the parallel computation of the Green's function in open systems

Author keywords

Dyson's equation; Electronic transport; Green's function; Recursive algorithms

Indexed keywords

DOMAIN DECOMPOSITION METHODS; GREEN'S FUNCTION; MATRIX ALGEBRA; OPEN SYSTEMS;

EID: 84879021217     PISSN: 15698025     EISSN: 15728137     Source Type: Journal    
DOI: 10.1007/s10825-013-0441-3     Document Type: Article
Times cited : (19)

References (19)
  • 2
    • 34548672547 scopus 로고    scopus 로고
    • Phase-coherent transport in graphene quantum billiards
    • DOI 10.1126/science.1144359
    • Miao, F., Wijeratne, S., Zhang, Y., Coskun, U.C., Bao, W., Lau, C.N.: Phase-coherent transport in graphene quantum billiards. Science 317(5844), 1530-1533 (2007) (Pubitemid 47417429)
    • (2007) Science , vol.317 , Issue.5844 , pp. 1530-1533
    • Miao, F.1    Wijeratne, S.2    Zhang, Y.3    Coskun, U.C.4    Bao, W.5    Lau, C.N.6
  • 4
  • 5
    • 4243888291 scopus 로고    scopus 로고
    • Electronic transport in extended systems: Application to carbon nanotubes
    • 10.1103/PhysRevB.60.7828
    • Nardelli, M.B.: Electronic transport in extended systems: application to carbon nanotubes. Phys. Rev. B 60(11), 7828-7833 (1999)
    • (1999) Phys. Rev. B , vol.60 , Issue.11 , pp. 7828-7833
    • Nardelli, M.B.1
  • 6
    • 0001124898 scopus 로고
    • Highly convergent schemes for the calculation of bulk and surface Green-functions
    • 10.1088/0305-4608/15/4/009
    • Sancho, M.P.L., Sancho, J.M.L., Rubio, J.: Highly convergent schemes for the calculation of bulk and surface Green-functions. J. Phys. F, Met. Phys. 15(4), 851-858 (1985)
    • (1985) J. Phys. F, Met. Phys. , vol.15 , Issue.4 , pp. 851-858
    • Sancho, M.P.L.1    Sancho, J.M.L.2    Rubio, J.3
  • 7
    • 0000821265 scopus 로고
    • Quick iterative scheme for the calculation of transfer-matrices - Application to Mo(100)
    • 10.1088/0305-4608/14/5/016
    • Sancho, M.P.L., Sancho, J.M.L., Rubio, J.: Quick iterative scheme for the calculation of transfer-matrices - application to Mo(100). J. Phys. F, Met. Phys. 14(5), 1205-1215 (1984)
    • (1984) J. Phys. F, Met. Phys. , vol.14 , Issue.5 , pp. 1205-1215
    • Sancho, M.P.L.1    Sancho, J.M.L.2    Rubio, J.3
  • 10
    • 70349734857 scopus 로고    scopus 로고
    • Optimal block-tridiagonalization of matrices for coherent charge transport
    • 2558765 1194.82087 10.1016/j.jcp.2009.08.001
    • Wimmer, M., Richter, K.: Optimal block-tridiagonalization of matrices for coherent charge transport. J. Comput. Phys. 228(23), 8548-8565 (2009)
    • (2009) J. Comput. Phys. , vol.228 , Issue.23 , pp. 8548-8565
    • Wimmer, M.1    Richter, K.2
  • 11
    • 33645909589 scopus 로고    scopus 로고
    • Parallel implementation of the recursive Green's function method
    • DOI 10.1016/j.jcp.2005.11.010, PII S0021999105005139
    • Drouvelis, P., Schmelcher, P., Bastian, P.: Parallel implementation of the recursive green's function method. J. Comput. Phys. 215(2), 741-756 (2006) (Pubitemid 43585669)
    • (2006) Journal of Computational Physics , vol.215 , Issue.2 , pp. 741-756
    • Drouvelis, P.S.1    Schmelcher, P.2    Bastian, P.3
  • 12
    • 41549088689 scopus 로고    scopus 로고
    • Knitting algorithm for calculating Green functions in quantum systems
    • 115119 10.1103/PhysRevB.77.115119
    • Kazymyrenko, K., Waintal, X.: Knitting algorithm for calculating Green functions in quantum systems. Phys. Rev. B 77(11), 115119 (2008)
    • (2008) Phys. Rev. B , vol.77 , Issue.11
    • Kazymyrenko, K.1    Waintal, X.2
  • 14
    • 0016939622 scopus 로고
    • An algorithm for reducing the bandwidth and profile of a sparse matrix
    • 501810 0329.65024 10.1137/0713023
    • Gibbs, N.E., Poole, J., William, G., Stockmeyer, P.K.: An algorithm for reducing the bandwidth and profile of a sparse matrix. SIAM J. Numer. Anal. 13(2), 236-250 (1976)
    • (1976) SIAM J. Numer. Anal. , vol.13 , Issue.2 , pp. 236-250
    • Gibbs, N.E.1    Poole, J.2    William, G.3    Stockmeyer, P.K.4
  • 15
    • 84976820773 scopus 로고
    • Algorithm-582 - The Gibbs-Poole-Stockmeyer and Gibbs-King algorithms for reordering sparse matrices
    • 10.1145/355993.355999
    • Lewis, J.G.: Algorithm-582 - the Gibbs-Poole-Stockmeyer and Gibbs-King algorithms for reordering sparse matrices. ACM Trans. Math. Softw. 8(2), 190-194 (1982)
    • (1982) ACM Trans. Math. Softw. , vol.8 , Issue.2 , pp. 190-194
    • Lewis, J.G.1
  • 16
    • 84879007397 scopus 로고    scopus 로고
    • http://www.netlib.org/toms/582
  • 18
    • 44349158351 scopus 로고    scopus 로고
    • PT-SCOTCH: A tool for efficient parallel graph ordering
    • 2428880 10.1016/j.parco.2007.12.001
    • Chevalier, C., Pellegrini, F.: PT-SCOTCH: a tool for efficient parallel graph ordering. Parallel Comput. 34(6-8), 318-331 (2008)
    • (2008) Parallel Comput. , vol.34 , Issue.6-8 , pp. 318-331
    • Chevalier, C.1    Pellegrini, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.