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.
Subjects
| Edition | Availability |
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1
Space-Filling Curves: An Introduction with Applications in Scientific Computing
2016, Springer Berlin / Heidelberg
in English
3662522365 9783662522363
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2
Space-Filling Curves: An Introduction with Applications in Scientific Computing
2013, Springer Berlin Heidelberg, Imprint: Springer
electronic resource :
in English
364231046X 9783642310461
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