Author : Michael Bader
Publisher : Springer Science & Business Media
ISBN 13 : 364231046X
Total Pages : 286 pages
Book Rating : 4.6/5 (423 download)
Book Synopsis Space-Filling Curves by : Michael Bader
Download or read book Space-Filling Curves written by Michael Bader and published by Springer Science & Business Media. This book was released on 2012-10-13 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.