2015 Fiscal Year Final Research Report
Study on fast and effective numerical verification algorithms in eigenvalue problems
| Project/Area Number |
23560066
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Gifu University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 精度保証付き数値計算 |
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| Outline of Final Research Achievements |
In science and engineering, mathematical models are developed for understanding phenomena. By solving these models, forecasting unknown phenomena and designing new industrial goods are possible. These models are frequently solved by numerical computations, since solving them analytically is difficult.
In general, results of numerical computations do not coincide with exact solutions, since some kinds of errors are included. In order to obtain exact conclusions from the numerical results, we need to estimate the errors and compute sets enclosing the exact solutions. The numerical verification algorithms have been developed for this purpose. In this study, we established fast and effective numerical verification algorithms in matrix eigenvalue problems and related topics.
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| Free Research Field |
数値解析
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