Space-Filling Curves

An Introduction with Applications in Scientific Computing

Nonfiction, Computers, Advanced Computing, Computer Science, Programming, Science & Nature, Science
Cover of the book Space-Filling Curves by Michael Bader, Springer Berlin Heidelberg
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Author: Michael Bader ISBN: 9783642310461
Publisher: Springer Berlin Heidelberg Publication: October 13, 2012
Imprint: Springer Language: English
Author: Michael Bader
ISBN: 9783642310461
Publisher: Springer Berlin Heidelberg
Publication: October 13, 2012
Imprint: Springer
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.

­

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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­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.

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