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A Computer Algebraic Method for Inverse Analysis and Its Application

Research Project

Project/Area Number 13640101
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 University, Engineering, Assistant Professor, 工学部, 助教授 (90137795)

Co-Investigator(Kenkyū-buntansha) AMOU Masaaki  Gunma University, Engineering, Assistant Professor, 工学部, 助教授 (60201901)
IKEHATA Masaru  Gunma University, Engineering, Professor, 工学部, 教授 (90202910)
SAITOH Saburo  Gunma University, Engineering, Professor, 工学部, 教授 (10110397)
NAKAMURA Gen  Hokkaido University, Science, Professor, 理学部, 教授 (50118535)
SATO Hisashi  Gunma University, Engineering, Assistant, 工学部, 助手 (60008513)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2002: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2001: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsinverse problem / impedance CT / computer algebra / symbolic-numeric hybrid method / 境界地逆問題 / 逆解析
Research Abstract

The purpose of the research is to establish a computer algebraic method for inverse proglem.
In the first year (2001), we established a symbolic-numeric hybrid method for boundary inverse problem. We also made an implementation of our algorithm to some computer systems. Furthermore, we studied the stability of our algorithm.
In the second year (2002), we have concentrated on numerical and computer algebraic experiments. As a result, we found that our technicalities work well in some boundary inverse problems related to impedance CT. Unfortunately, we are still working on computational experiments.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (5 results)

All Other

All Publications (5 results)

  • [Publications] Satomi Kawashiina, Harumi Ishida, Kazuo Amano: "A finite algebraic reconstruction algorithm for an experimental impedance CT system"International Journal of Applied Mathematics. 7. 355-368 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] S. Kawashima, H. Ishida, K. Amano: "A linite algebraic reconstruction algorithm for an experimental impedance CT system"International Journal of Applied Mathematics. 7. 355-368 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Satomi Kawashima, Harumi Ishida, Kazuo Amano: "A finite algebraic reconstruction algorithm for an experimental impedance CT system"International Journal of Applied Mathematics. 7. 355-368 (2001)

    • Related Report
      2002 Annual Research Report
  • [Publications] K. Amano, H. Ishida, S. Kawashima: "A finite algebraic reconstruction algorithm for an experimental Impedance CT system"International Journal of Applied Mathematics. 7・4. 355-368 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K. Amano, T. Ooura, S. Saitoh: "Representation of analytic functions on typical domains of local values and truncation error estimates"Analytic Extension Formulas and their Applications. 15-25 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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