2016 Fiscal Year Final Research Report
Development of super high-efficient methods for equations with singularity and their theoretical supports
| Project/Area Number |
24760060
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Engineering fundamentals
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| Research Institution | Hiroshima City University (2014-2016)
Hitotsubashi University (2012-2013) |
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Principal Investigator |
Okayama Tomoaki 広島市立大学, 情報科学研究科, 講師 (80587866)
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| Project Period (FY) |
2012-04-01 – 2017-03-31
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| Keywords | 数値解析 |
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| Outline of Final Research Achievements |
Differential equations and integral equations with singularities often arise in physics and chemistry, but numerical simulation of those equations is difficult by means of existing general numerical methods. For such equations, existing methods cannot achieve their usual performance, and there is no theoretical support of convergence to the solution. This study developed a highly efficient numerical method based on the Sinc numerical methods, which are robust and efficient for singularities. This study also gave theoretical support of the proposed method.
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| Free Research Field |
数値解析
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