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Research on modeling, simulation and visualization of nonlinear problems

Research Project

Project/Area Number 02640162
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionChiba University, Faculty of Engineering

Principal Investigator

ONO Harumi  Chiba Univ. Eng. Lec., 工学部, 講師 (70194595)

Co-Investigator(Kenkyū-buntansha) KOSHIGOE Hideyuki  Chiba Univ. Eng. Ass., 工学部, 助手 (70110294)
SAWAGURI Toshio  Chiba Univ. Eng. Lec., 工学部, 講師 (50009271)
HOSHI Mamoru  Chiba Univ. Eng. Ass. Prof., 工学部, 助教授 (80125955)
KAWARADA Hideo  Chiba Univ. Eng. Prof., 工学部, 教授 (90010793)
TODA Hideo  Chiba Univ. Eng. Prof., 工学部, 教授 (10143257)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥1,500,000 (Direct Cost: ¥1,500,000)
Fiscal Year 1991: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1990: ¥1,200,000 (Direct Cost: ¥1,200,000)
KeywordsRunge-Kutta / Numerical analysis / Fast automatic differentiation / Free boundary / Plasma / Stefan / Boundary layer / Fluid / RungeーKutta法 / モデリング / 自由境界 / 分岐現象 / 最適形状設計 / 数値解析
Research Abstract

This project has obtained many excellent results, main topics of which are the followings.
1. Development of algorithm and programming for computation.
2. Development of, a method for finding bifurcation points in plasma and analysis for the behavior of free surface in the fluid.
3. Modeling for Stefan problem with change of volume.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (19 results)

All Other

All Publications (19 results)

  • [Publications] H.Ono and H.Toda: "An addendum to the previous paper "Runge-Kutta seventh-order limiting formula (1989)"" J.Inf.Proc.14(2). 204-207 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H.Kawarada and H.Koshigoe: "The unsteady flow in the porous media with a free surface" Japan J.Ind.Appl.Math.8(1). 41-82 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H.Imai and H.Kawarada: "A method for finding bifurcation points" Control and Cybernetics. 20(1). 7-19 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T.Hanada,H.Imai,H.Kawarada and M.Natori: "Numerical computations for solidification problems with change of volume" Bull.Greek Math.Soc.31. 24-49 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H.Kawarada,H.Koshigoe and A.Sasamoto: "The behavior of free surface appearing in the flow through the porous media" Adv.Math.Sci and Appl.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Ono and H. Toda: "An addendum to the previous paper "Runge-Kutta seventh-order limiting formula (1989)"" J. Inf. Proc.14, no. 2. 204-207 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Kawarada and H. Koshigoe: "The unsteady flow in the porous media with a free surface" Japan J. and Appl. Math.8, no. 1. 41-82 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Imai and H. Kawarada: "A method for finding bifurcation points" Control and Cybernetics. 20(1). 7-19 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Hanada, H. Imai, H. Kawarada and M. Natori: "Numerical computations for solidification problems with change of volume" Bull. Greek Math. Soc.31. 24-49 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H. Kawarada, H. Kosihoe and A. Sasamoto: "The behavior of free surface appearing in the flow through the porous media" Adv. Math. Sci. and Appl.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] H.Ono and H.Toda: "An addendum to the previous paper“RungeーKutta seventhーorder limiting formula (1989)"" J.Inf.proc.14(2). 204-207 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Kawarada and H.Koshigoe: "The unsteady flow in the porous media with a free surface" Japan J.Ind.Appl.Math.8(1). 41-82 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Imai and H.Kawarada: "A method for finding bifurcation points" Control and Cybernetics. 20(1). 7-19 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] T.Hanada,H.Imai,H.Kawarada and M.Natori: "Numerical computations for solidification problems with chage of volume" Bull.Greek Math.Soc.31. 24-49 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] H.Kawarada,H.Koshigoe and A.Sasamoto: "The behavior of free surface appearing in the flow through the porous media" to appear in Adv.Math.Sci and Appl.

    • Related Report
      1991 Annual Research Report
  • [Publications] 戸田 英雄 小野 令美共著: "An addendun to the Previous Paper“RungeーKutta Jype Seventhーorder Limiting Tormula(1989)"" 情報処理学会欧文誌.

    • Related Report
      1990 Annual Research Report
  • [Publications] H.IMAI H.KAWARADA: "A method for finding bifurcattion points" Control and cybernetics. 19(3). (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] A.SASAMOTO H.IMAI H.KAWARADA: "A practical method for an illーconditioned optimal shape design of a vessel in which plasma is confined"

    • Related Report
      1990 Annual Research Report
  • [Publications] H.KAWARADA H.KOSHIGOE: "The unsteady flow in the porous media with a free surface" J.J.Ind.Appl.Math. 8(1). 41-82 (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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