Effective methods for obtaining good points for quadrature in reproducing kernel Hilbert spaces
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- Oshiro Ryunosuke
- Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo
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- Tanaka Ken'ichiro
- Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo
説明
<p>In this paper, we address the problem of numerical integration, which can be solved by kernel quadrature. Existing methods have limitations. In particular, the nodes are not well-balanced when their number is small. We propose two new methods for generating nodes for quadrature in reproducing kernel Hilbert spaces. By using the explicit formula for the error of the quadrature, we improve a set of a fixed number of sampling points with a tractable optimization algorithm. We provide a theoretical analysis of the convergence rate of the error of our first method. Numerical experiments show that our methods are effective.</p>
収録刊行物
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- JSIAM Letters
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JSIAM Letters 12 (0), 61-64, 2020
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390848647564501248
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- NII論文ID
- 130007925471
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- ISSN
- 18830617
- 18830609
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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
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- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可