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Field name	Details
Dewey Class	516.352
Title	Space-Filling Curves ([Ebook]) : An Introduction with Applications in Scientific Computing / by Michael Bader.
Author	Bader, Michael
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer
Publication	, 2013.
Physical Details	XIII, 278 pages:. 357 illus., 323 illus. in color. : online resource.
Series	Texts in computational science and engineering 1611-0994 ; ; 9
ISBN	9783642310461
Summary Note	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.:
Contents note	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.-Â Further Applications of Space-Filling Curves.-Â Solutions to Selected Exercises.-Â References -- IndexÂ .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-31046-1
Links to Related Works	Subject References: Algorithms . Applications of Mathematics . Computational Science and Engineering . Computer Science . Math Applications in Computer Science . Mathematics . Authors: Bader, Michael . Corporate Authors: SpringerLink (Online service) . Series: Texts in computational science and engineering . Classification: 516.352 . 516.352 (DDC 22) .

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Space-Filling Curves: An Introduction with Applications in Scientific Computing

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