Study of an approximated distribution using the continuous Euler transformation
| Project/Area Number |
19560067
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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 |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
OOURA Takuya Kyoto University, 数理解析研究所, 助教 (50324710)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 連続オイラー変換 / 超関数 / 近似 / 数値積分法 / 近似超関数 / 二重指数関数型数値積分 / Sinc近似 / IMT公式 |
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| Research Abstract |
We show that the distributions are easily approximated by continuous functions using the continuous Euler transformation, and the linear map of the approximated distribution is high precision. The approximated distribution can be applied to the computation of numerical indefinite integration, two-dimensional oscillatory integration and a certain differential equation.
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Report
(4 results)
Research Products
(14 results)
