High-precision numerical computation of integral equations of the first kind(Scientific Computation and Numerical Analysis; Basics and Applications of Multiprecision Scientific Computation, <Special Issue>Joint Symposium of JSIAM Activity Groups 2005)
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- FUJIWARA Hiroshi
- Graduate School of Informatics, Kyoto University
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- IMAI Hitoshi
- Faculty of Engineering, The University of Tokushima
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- TAKEUCHI Toshiki
- Faculty of Engineering, The University of Tokushima
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- ISO Yuusuke
- Graduate School of Informatics, Kyoto University
Bibliographic Information
- Other Title
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- 第一種積分方程式の高精度数値計算について(科学技術計算と数値解析(多倍長科学技術計算の基礎と応用), <特集>平成17年研究部会連合発表会)
- 第一種積分方程式の高精度数値計算について
- ダイ1シュ セキブン ホウテイシキ ノ コウセイド スウチ ケイサン ニ ツイテ
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Abstract
A new method for the direct numerical computation of integral equations of the first kind, of which the integral kernels are analytic, is proposed. The basic idea of the method is based on combination of the spectral collocation method and the multiple precision computation. It gives good numerical results for the equations as far as we don't admit observation errors in the given inhomogeneous terms, and the results implies possibility of numerical analytic continuation on the multiple precision arithmetic. A new accurate rule for numerical integration is also introduced.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 15 (3), 419-434, 2005
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390001205767844096
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- NII Article ID
- 110001900195
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 7683424
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed
