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Space-Filling Curves An Introduction with Applications in Scientific Computing

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online

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Format:
Book
Author/Creator:
Bader, Michael, author.
Series:
Texts in computational science and engineering 9
Texts in Computational Science and Engineering Ser. 9
Language:
English
Subjects (All):
Computer science.
Computer engineering.
Computers--Computer Science.
Computers.
Computers--Computer Engineering.
Electronic Data Processing.
Computer Science.
Computer Engineering.
Medical Subjects:
Electronic Data Processing.
Local Subjects:
Computer Science.
Computer Engineering.
Computers--Computer Science.
Computers--Computer Engineering.
Physical Description:
1 online resource
Place of Publication:
New York Springer Oct. 2012
Summary:
­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
ISBN:
9783642310454
3642310451
OCLC:
858887554
Access Restriction:
Restricted for use by site license

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