<電子ブック>
Multidimensional Weakly Singular Integral Equations / by Gennadi Vainikko
(Lecture Notes in Mathematics. ISSN:16179692 ; 1549)
版 | 1st ed. 1993. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1993 |
大きさ | XII, 168 p : online resource |
著者標目 | *Vainikko, Gennadi author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Numerical analysis FREE:Analysis FREE:Numerical Analysis |
一般注記 | Some problems leading to multidimensional weakly singular integral equations -- Preliminaries -- Smoothness of the solution -- Outlines of the discrete convergence theory -- Piecewise constant collocation and related methods -- Composite cubature algorithms -- Higher order methods -- Nonlinear integral equation The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. The superconvergence effect of collocation methods at the collocation points is established. This is a book for graduate students and researchers in the fields of analysis, integral equations, mathematical physics and numerical methods. No special knowledge beyond standard undergraduate courses is assumed HTTP:URL=https://doi.org/10.1007/BFb0088979 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540477730 |
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電子リソース |
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EB00209829 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000109442 |
ISBN | 9783540477730 |
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