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2000 Fiscal Year Final Research Report Summary

Development of Fast Algorithm for Dynamic Correlation Functions

Research Project

Project/Area Number 10650061
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionHokkaido University

Principal Investigator

NAKAYAMA Tsuneyoshi  Hokkaido Univ.Grad.School of Eng., Prof., 大学院・工学研究科, 教授 (80002236)

Co-Investigator(Kenkyū-buntansha) YAKUBO Kousuke  Hokkaido Univ.Grad.School of Eng., Associate Prof., 大学院・工学研究科, 助教授 (40200480)
Project Period (FY) 1998 – 2000
KeywordsAlgorithm / FOM / Eigenvalues / Large matrices / Dynamic correlation
Research Abstract

The aim of this research project is to develop the algorithm efficient for the eigenvalue analysis and computing dynamic correlation functions. In addition, we extend this algorithm to the Hermitian and non-Hermitian large-scale matrices. In this fisical year, we have succeeded to extend the algorithm as applicable any type of large-scale matrices. We have also applied this algorithm to various physical systems and demonstrated its efficiency.

  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29・6. 16-19 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tsuneyoshi Nakayama: "The forced oscillator method and the Kubo formula"Prog.Theor.Phys.Suppl.. 138. 60-65 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Shima: "Anderson transition in 3D systems"Prog.Theor.Phys.Suppl.. 138. 515-516 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Terao: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Terao: "Reversible cluster-cluster aggregation and colloidal gels"Prog.Theor.Phys.Suppl.. 138. 354-359 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Terao: "Effective interaction between highly charged colloidal particles under geometrical cofinement"J.P;hys.:Condens.Matter. 12. 5169-5177 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Terao: "Melting transition of two-dimensional colloidal crystal"Statistical Physics. 235-237 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Nakayama: "The forced oscillator method"Physics Reports. (in press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Nakayama and H.Shima: "The forced oscillator method : its applications to physical systems"RIKEN Review. 29-6. 16-19 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Nakayama: "The forced oscillator method and the Kubo formula"Prog.Theor.Phys.Suppl.. 138. 60-65 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Shima and T.Nakayama: "Anderson transition in 3D systems"Prog.Theor.Phys.Suppl.. 138. 515-516 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Terao and T.Nakayama: "Bond-orientational order of 2D colloidal crystal"Prog.Theor.Phys.Suppl.. 138. 386-387 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T,.Terao, T.Nakayama: "Reversible cluster-cluster aggregation and colloidal gels"Prog.Theor.Phys.Suppl.. 138. 354-359 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Terao and T.Nakayama: "Effective interaction between highly charged colloidal particles under geometrical cofinement"J.Phys. : Condens. Matter. 12. 5169-5177 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Terao and T.Nakayama: "Melting transition of two-dimensional colloidal crystal"Statistical Physics. 235-237 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Nakayama, K.Yakubo: "The forced oscillator method"Physics Reports. (in press).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2002-03-26  

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