Space-filling curves an introduction with applications in scientific computing / [electronic resource] :
- 作者： Bader, Michael.
- 其他作者：
- 其他題名：
- Texts in computational science and engineering ;
- 出版： Berlin, Heidelberg : Springer Berlin Heidelberg :Imprint: Springer
- 叢書名： Texts in computational science and engineering,9
- 主題： Curves on surfaces. , Covering spaces (Topology) , Mathematics. , Computational Science and Engineering. , Algorithms. , Applications of Mathematics. , Math Applications in Computer Science.
- ISBN： 9783642310461 (electronic bk.) 、 9783642310454 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005397457 | 機讀編目格式
館藏資訊
The present book provides an introduction to using space-filling curves (SFC) as tools in scientific computing. Special focus is laid on the representation of SFC and on resulting algorithms. For example, grammar-based techniques are introduced for traversals of Cartesian and octree-type meshes, and arithmetisation of SFC is explained to compute SFC mappings and indexings. The locality properties of SFC are discussed in detail, together with their importance for algorithms. Templates for parallelisation and cache-efficient algorithms are presented to reflect the most important applications of SFC in scientific computing. Special attention is also given to the interplay of adaptive mesh refinement and SFC, including the structured refinement of triangular and tetrahedral grids. For each topic, a short overview is given on the most important publications and recent research activities.