株式会社極東書店トップ ＞ 商品一覧 ＞ Splines and PDEs : From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017. 1st ed. 2018.
商品詳細
Splines and PDEs : From Approximation Theory to Numerical Linear Algebra: Cetraro, Italy 2017. 1st ed. 2018.
・ISBN 978-3-319-94910-9 paper EUR 69.99
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お気に入り
★★★
| 著者・編者 | Kunoth, Angela / Lyche, Tom / Sangalli, Giancarlo / Serra-Capizzano, Stefano / Lyche, Tom / Manni, Carla / Speleers, Hendrik (eds.), |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 318 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-1195＞ |
解説
This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods.
A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis.
The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis.
The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.