1999 Fiscal Year Final Research Report Summary
A Computer Algebraic Method for Partial Differential Equations
| Project/Area Number |
10640102
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Gunma University |
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Principal Investigator |
AMANO Kazuo Gunma Univ., Engineering, assistant prof., 工学部, 助教授 (90137795)
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| 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)
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| Project Period (FY) |
1998 – 1999
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| Keywords | partial differential equation / computer algebra / inverse problem |
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| 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.
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