| Project/Area Number |
23540140
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Ehime University |
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Principal Investigator |
AMANO KANAME 愛媛大学, 理工学研究科, 教授 (80113512)
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| Co-Investigator(Renkei-kenkyūsha) |
OKANO Dai 愛媛大学, 大学院・理工学研究科, 准教授 (90294785)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 等角写像 / 正準スリット領域 / 代用電荷法 / 基本解 / 数値複素解析 |
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| Research Abstract |
Conformal mappings are familiar in science and engineering. Using the charge simulation method, we proposed a unified method of numerical conformal mappings of unbounded multiply connected domains onto the linear and the spiral slit canonical domains, where oblique angles of the slits were individually specified, and showed its effectiveness by numerical experiments. The method is applicable also to the problem of bounded domains in principle. As a result, approximate mapping functions onto the first thirteen of the thirty nine canonical slit domains listed in Koebe (1916) are obtainable in a more general form as described above.
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