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1996 Fiscal Year Final Research Report Summary

Integrated Studies towards New Development in Mathematical Sciences

Research Project

Project/Area Number 07304017
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section総合
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Tokyo

Principal Investigator

MIURA Masayasu  Graduate School of Mathematical Sciences, University of Tokyo, Professor, 大学院・数理科学研究科, 教授 (50068128)

Co-Investigator(Kenkyū-buntansha) MIYOSHI Tetsuhiko  Faculty of Sciences, Yamaguchi University, Professor, 理学部, 教授 (60040101)
FUJII Hiroshi  Faculty of Engineering, Kyoto, Sangyo University, Professor, 工学部, 教授 (90065839)
NISHIURA Yasumasa  Institute of Electrical Sciences, Hokkaido University, Professor, 電子科学研究所, 教授 (00131277)
KAWARADA Hideo  Faculty of Engineering, Chiba, University, Professor, 工学部, 教授 (90010793)
IKEDA Tsutomu  Faculty of Applied Mathematics and Informatics, Ryukoku University, Professor, 理工学部, 教授 (50151296)
Project Period (FY) 1995 – 1996
KeywordsBifurcation theory of flow problems / Algorithm of parallel computing / Theooretical study of domain decomposition methods / Computer aided analysis / Methods to mathematical sciences
Research Abstract

Towards new development in mathematical sciences, we have considered mathematical understanding of several topics in engineering, natual sciences etc. For instance, Tabata and Okamoto have studied bifurcation theories, numerical algorithm, application to several concrete problems, parallel computing in large scale systems in fluid dynamics problems. Ikeda and Nishiura have analycally and complementarily numerically nvestigated to reveal the mecanism of phase seperation and interfacial problems in physical science, by using reaction-diffuison model systems. Mori, Kawarada and Mitsui have discussed mathemathematical topics arising in Industrial mathematics. Especially, they have developed new numerical algorithm of domain decomposition methods, which is known as one of effective scientific numerical methods. Nishida, Nakao and Tsutsumi have studied qualitative properites of nonlinear partial differential equations, from the numerical aided analysis standing point, and proposed a new analytical methods to understand nonlinear phenomena. Mimura and his group have discussed biological problems, especially aggregation, segregation of biological individuals described by reaction-diffusion systems, by integrating analytical methods, numerical simulations and visualization. This appraoch is a trial to develop new methods in mathematical sciences. The results obtained above were reperented in the meeting of Applied Mathematics in Japan which was held on December everyyear and published in the forms of proceedings.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] M.Mimura and T.Tsujikawa: "Aggregating pattern dynamics in a chemotaxis model including growth" Physica A. 230. 499-543 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mimura and K.Sakamoto: "Multi-dimensional transition layers for an exothermic reaction-diffusio system in long cylindrical domains" J.Math.Sci.,Univ.Tokyo. 3. 109-179 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Ikeda: "Numerical simulation for nonlinear oscillation of internallayers" Lecture Notes in Numerical and Applied Analysis. 14. 69-77 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Ohnishi and Y.Nishiura: "Spectral comparison between the second and the fourth order equations of conservative type with non-local terms" preprint series of Isaac Newton Institute for Mathematical Sciences. NI96003. (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Fujii,H.Ito.K.Aihara,and K.Tsukada: "Dynamical Cell Assembly Hypothesis-Theoretical Possibility of Spatio-Temporal Coding in the Cortex" Neural Networks. 9. 1303-1350 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Supriyono and T.Miyoshi: "A Modified extrapolation method for large system of second order central difference equation" Japan J.Industrial and Applied Mathematics. 12,No.2. 439-455 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mimura and T.Tsujikawa: "Aggregating pattern dynamics in a chemotaxis model including growth" Physica A. 230. 499-543 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Mimura and K.Sakamoto: "Multi-dimensional transition layrs for an exothermic reaction-diffusion system in long cylindrical domains" J.Math. Sci. Univ. Tokyo. 3. 109-179 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Ikeda: "Numerical simulation for nonlinear oscillation of internal layrs" Lecture Notes in Numerical and Applied Analysis. Vol. 14, July. 69-77 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Ohnishi and Y.Nishiura: "Spectral comparison between the second and the fourth order equations of conservative type with non-local terms" preprint series of Isaac Newton Institute for Mathematical Sciences.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Fujii, H.Ito, K.Aihara, and K.Tsukada: "Dynamical Cell Assembly Hypothesis-Theoretical Possibility of Spatio-Temporal Coding in the Cortex" Neural Metworks. Vol. 9. 1303-1350 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Supriyono and T.Miyoshi: "A Modified extrapolation method for large system of second order central difference equations" Japan J.Industrial and Applied Mathematics. Vol. 12, No. 2. 439-455 (1995)

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

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Published: 1999-03-09  

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