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A Computer Algebraic Method for Partial Differential Equations

Research Project

Project/Area Number 10640102
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionGunma University

Principal Investigator

AMANO Kazuo  Gunma Univ., Engineering, assistant prof., 工学部, 助教授 (90137795)

Co-Investigator(Kenkyū-buntansha) IREHATA Masaru  Gunma Univ., Engineering, assistant prof., 工学部, 助教授 (90202910)
NAKAMURA Gen  Gunma Univ., Engineering, professor, 工学部, 教授 (50118535)
SAITOH Sabrou  Gunma Univ., Engineering, professor, 工学部, 教授 (10110397)
SATO Hisashi  Gunma Univ., Engineering, assistant, 工学部, 助手 (60008513)
AMOU Masaaki  Gunma Univ., Engineering, lecturer, 工学部, 講師 (60201901)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 1999: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 1998: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordspartial differential equation / computer algebra / inverse problem
Research Abstract

The purpose of the research is to establish a computer algebraic method for partial differential equations.
In the first year (1998), we have established a method to generate "approximate general solutions" of partial differential equations by using a computer algebraic method.
And we happened to have found that our method could be useful in the study of inverse problems. In the second year (1999), we have concentrated on numerical and computer algebraic experiments. As a result, we found that our technicalities work quite well in some inverse problems.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] Kazuo Amano,Admi Syorif: "Approximate general solutions of degenerate diffusion equations"International Journal of Applied Mathematics. 2. 247-263 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Amano,S.Saitoh,A.Syarif: "A real inversion formula for the Laplace transform in a Sobolev space"Zeitschrift fur Analysis and ihre Anwendungen (Journal for Analysis and its Applications). 18. 1031-1038 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazuo Amano and Admi Syarif: "Approximate general solutions of degenerate diffusion equations"International Journal of Applied Mathematics. 2. 247-263 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Amano, S. Saitoh and A. Syarif: "A real inversion formula for the Laplace transform in a Sobolev space"Zeitschrift fur Analysis und ihre Anwendungen (Journal for Analysis and its Applications). 18. 1031-1038 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazuo Amano Admi Syorif: "Approximate general solutions of dgenerate diffusion eqinatians"International Journal of Applied Mathematics. 2. 247-263 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Amano,S.Saitoh,A.Sxarif: "A real inversion formula for the Laplace transform in a Sobolev space"Zeitschrift fur Analysis und ihre Anwendurgen (Journal for Analysis and its Applications). 18. 1031-1038 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 天野 一男: "A finite difterence model for Calderon's boundary inverse problem" the Proceedings of Japan-Korea Joint Scientitie Seminar on Inrerse Problems and Related Topics. (to appear).

    • Related Report
      1998 Annual Research Report
  • [Publications] 天野 一男: "数式処理の境界値逆問題への応用" 数理解析研究所講究録. (to appear).

    • Related Report
      1998 Annual Research Report
  • [Publications] 天野 一男: "退化放物型方程式の近似一般解の構成とその誤差評価" 数理解析研究所講究録. 1038. 75-84 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 池畠 優: "Reconstruction of the shape of the indusion by boundary measurements" Comm. Partial Differential Equations. 23. 1459-1474 (1993)

    • Related Report
      1998 Annual Research Report
  • [Publications] 池畠 優: "Reconstruction of an obstacle from the scattering amplitude at a fixed frequency" J. Inrerse Probl.14・4. 949-954 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 中村 玄: "Impedance computed tomo-electrocardiography" the Proceedings of Japan-Korea Joint ScientificSeminar on Inrerse Problems and Relafed Topics. (to appear).

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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