2009 Fiscal Year Final Research Report
Research on the Charge Simulation Method and the Numerical Conformal Mapping
| Project/Area Number |
19340024
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Ehime University |
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Principal Investigator |
AMANO Kaname Ehime University, 大学院・理工学研究科, 教授 (80113512)
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| Co-Investigator(Kenkyū-buntansha) |
OKANO Dai 愛媛大学, 大学院・理工学研究科, 准教授 (90294785)
TUCHIYA Takuya 愛媛大学, 大学院・理工学研究科, 教授 (00163832)
OGATA Hidenori 電気通信大学, 電気通信学部, 准教授 (50242037)
SUGIHARA Masaaki 東京大学, 情報理工学(系)研究科, 教授 (80154483)
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| Co-Investigator(Renkei-kenkyūsha) |
ENDO Keiichi 愛媛大学, 大学院・理工学研究科, 助教 (10467847)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 数値数学 / 複素解析 / 代用電荷法 / 基本解 / 数値等角写像 |
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| Research Abstract |
Using the charge simulation method, we proposed the method of numerical conformal mappings of unbounded multiply connected domains onto the following canonical slit domains: (a) the parallel and the colinear slit domains, (b) the linear slit domain and (c) the circular and radial slit domain; and showed the effectiveness of our method. We studied the property of the charge simulation method, and proposed a fundamental solution method for periodic Stokes flow problems. These are important in scientific and engineering applications. Basic studies on numerical methods for singular integral equations and ill-conditioned linear equations are progressed, which are closely related to the subject of this study.
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Research Products
(33 results)
