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
Abstract
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.
Journal
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- Theoretical and Applied Mechanics Japan
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Theoretical and Applied Mechanics Japan 62 (0), 107-117, 2014
National Committee for IUTAM
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Details 詳細情報について
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- CRID
- 1390001205210094336
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- NII Article ID
- 130004463856
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- ISSN
- 13494244
- 13480693
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- Text Lang
- en
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed
