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Space-Filling Curves: An Introduction with Applications in Scientific Computing
Hardcover
Series: Texts in Computational Science and Engineering, Book 9
General ComputersGeneral Mathematics
ISBN13: 9783642310454
Publisher: Springer Nature
Published: Oct 14 2012
Pages: 285
Weight: 1.25
Height: 0.90 Width: 6.30 Depth: 9.20
Language: English
-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.
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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.
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