On Numerical Challenge for the Distinction Between Smooth Functions and Analytic Functions
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- DATTA Krishna Chandra
- Graduate School of Advanced Technology and Science, The University of Tokushima
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- IMAI Hitoshi
- Institute of Technology and Science, The University of Tokushima
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- SAKAGUCHI Hideo
- Institute of Technology and Science, The University of Tokushima
説明
In the paper, we present numerical experiments for investigation of a property of functions. Especially, we focus on the smoothness. Two kinds of methods are used in numerical experiments. One is the interpolation and the other is the Cauchy problem for the Laplace operator. Numerical experiments are performed by using the spectral collocation method and a multiple-precision arithmetic. Numerical results show the possibility of the numerical computation for the distinction between smooth functions and analytic functions.
収録刊行物
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- Theoretical and Applied Mechanics Japan
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Theoretical and Applied Mechanics Japan 62 (0), 107-117, 2014
日本学術会議 「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」
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詳細情報 詳細情報について
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- CRID
- 1390001205210094336
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- NII論文ID
- 130004463856
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- ISSN
- 13494244
- 13480693
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可