Space-Filling Curves
An Introduction with Applications in Scientific Computing
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Author
Contributions
- SpringerLink (Online service) - Contributor
Publication
2013 - Springer Berlin Heidelberg, Berlin, Heidelberg, Germany
Language
English
Word Count
89,250 words, Guess
Page Count
357 pages
Physical Format
Electronic resource
Identifiers
- Internet Archivespacefillingcurv00bade
- ISBN-139783642310461
- ISBN-10364231046X
- Better World Books9783642310461
- Open LibraryOL27088538M
Classifications
- DDC004
- LCCQA71-90
Description
<p>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.</p><p>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.</p><p>
Subjects
Series Statement
- Texts in Computational Science and Engineering -- 9
Other Editions
- Space-Filling Curves: An Introduction with Applications in Scientific Computing
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