2009 Fiscal Year Final Research Report
Development of highly accurate numerical method based on finite differences and its application to ill-posed problems of partial differential equations.
| Project/Area Number |
18540108
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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 | Ibaraki University |
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Principal Investigator |
ONISHI Kazuei Ibaraki University, 理学部, 教授 (20078554)
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| Co-Investigator(Kenkyū-buntansha) |
SHIROTA Kenji 茨城大学, 理学部, 准教授 (90302322)
OHURA Yoko 九州情報大学, 経営情報学部, 教授 (70122695)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 応用数学 / 逆問題 / 数値解法 / 偏微分方程式 / 正則化 |
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| Research Abstract |
Recently natural resource probe in the mining industry, nondestructive testing in engineering, computer tomography in medical diagnosis, and so on are widely known. The mathematical aspect involved in these issues are called inverse problem. The problem is featured by an ill-posed problem in which there may be no definite solution and the solution, even if it exists, is strongly influenced by only small errors in the measurement. In the present research we proposed a computer method that gives accurate and stable answers to the inverse problem.
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