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1991 Fiscal Year Final Research Report Summary

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
KeywordsRunge-Kutta / Numerical analysis / Fast automatic differentiation / Free boundary / Plasma / Stefan / Boundary layer / Fluid
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.

  • Research Products

    (10 results)

All Other

All Publications (10 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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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
  • [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

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Published: 1993-03-16  

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