| Space-Filling Curves: An Introduction with Applications in Scientific Computing 2013 Edition Contributor(s): Bader, Michael (Author) |
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ISBN: 3642310451 ISBN-13: 9783642310454 Publisher: Springer OUR PRICE: $94.99 Product Type: Hardcover - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Computers | Computer Science - Computers | Data Processing |
| Dewey: 004 |
| Series: Texts in Computational Science and Engineering |
| Physical Information: 0.9" H x 6.3" W x 9.2" (1.25 lbs) 285 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: -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. |