Michael Bader: Space-Filling Curves | Buch

Cover: 9783642310454 | Space-Filling Curves | Michael Bader | Buch | xiii | Englisch | 2012

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Sprache: Englisch

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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.

Über den Autor

Michael Bader is professor for computer science at Technische Universität München, where he leads a research group on hardware-aware algorithms and software for high performance computing (located at the Leibniz Supercomputing Centre). His focus in research and teaching is on algorithmic challenges imposed by modern
computing platforms. A large part of his work is dedicated to exploiting locality properties of space-filling curves for simulation tasks in science and engineering.

Zusammenfassung

Connects the different techniques to describe space-filling curves to corresponding algorithms

Connects space-filling curves and respective orders to regular and adaptive meshes for discretisation

Describes parallelisation and cache-efficient algorithms based on space-filling curves

Provides a section on references to both pioneering and current research on space-filling curves in scientific computing?

Includes supplementary material: [...]

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

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Details

Erscheinungsjahr:	2012
Fachbereich:	EDV
Genre:	Informatik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Buch
Reihe:	Texts in Computational Science and Engineering
Inhalt:	xiii 285 S.
ISBN-13:	9783642310454
ISBN-10:	3642310451
Sprache:	Englisch
Herstellernummer:	86115571
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Bader, Michael
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg Texts in Computational Science and Engineering
Maße:	241 x 160 x 22 mm
Von/Mit:	Michael Bader
Erscheinungsdatum:	14.10.2012
Gewicht:	0,613 kg

Artikel-ID: 106330073