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Cover: 9783642310454 | Space-Filling Curves | Michael Bader | Buch | Englisch | 2012
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Space-Filling Curves
An Introduction with Applications in Scientific Computing
Buch von Michael Bader
Sprache: Englisch

82,95 €*

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Lieferzeit 1-2 Wochen

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Beschreibung
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.

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.

Inhaltsverzeichnis
Two Motivating Examples.- How to Construct Space-Filling Curves.- Grammar-Based Description of Space-Filling Curves.- Arithmetic Representation of Space-Filling Curves.- Approximating Polygons.- Sierpinski Curves.- Further Space-Filling Curves.- Space-Filling Curves in 3D.- Refinement Trees and Space-Filling Curves.- Parallelisation with Space-Filling Curves.- Locality Properties of Space-Filling Curves.- Sierpinski Curves on Triangular and Tetrahedral Meshes.- Case Study: Cache Efficient Algorithms for Matrix Operations.- Case Study: Numerical Simulation on Spacetree Grids Using Space-Filling Curves.- Further Applications of Space-Filling Curves.- Solutions to Selected Exercises.- References.- Index
Details
Erscheinungsjahr: 2012
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 285
Inhalt: xiii
285 S.
ISBN-13: 9783642310454
ISBN-10: 3642310451
Sprache: Englisch
Herstellernummer: 978-3-642-31045-4
Autor: Bader, Michael
Auflage: 2013
Hersteller: Springer
Springer, Berlin
Springer Berlin Heidelberg
Abbildungen: XIII, 285 p.
Maße: 246 x 163 x 21 mm
Von/Mit: Michael Bader
Erscheinungsdatum: 14.10.2012
Gewicht: 0,582 kg
preigu-id: 106330073
Inhaltsverzeichnis
Two Motivating Examples.- How to Construct Space-Filling Curves.- Grammar-Based Description of Space-Filling Curves.- Arithmetic Representation of Space-Filling Curves.- Approximating Polygons.- Sierpinski Curves.- Further Space-Filling Curves.- Space-Filling Curves in 3D.- Refinement Trees and Space-Filling Curves.- Parallelisation with Space-Filling Curves.- Locality Properties of Space-Filling Curves.- Sierpinski Curves on Triangular and Tetrahedral Meshes.- Case Study: Cache Efficient Algorithms for Matrix Operations.- Case Study: Numerical Simulation on Spacetree Grids Using Space-Filling Curves.- Further Applications of Space-Filling Curves.- Solutions to Selected Exercises.- References.- Index
Details
Erscheinungsjahr: 2012
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 285
Inhalt: xiii
285 S.
ISBN-13: 9783642310454
ISBN-10: 3642310451
Sprache: Englisch
Herstellernummer: 978-3-642-31045-4
Autor: Bader, Michael
Auflage: 2013
Hersteller: Springer
Springer, Berlin
Springer Berlin Heidelberg
Abbildungen: XIII, 285 p.
Maße: 246 x 163 x 21 mm
Von/Mit: Michael Bader
Erscheinungsdatum: 14.10.2012
Gewicht: 0,582 kg
preigu-id: 106330073
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