Space-filling curves : an introduction with applications in scientific computing
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...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2013. |
| Edice: | Texts in Computational Science and Engineering
9 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Space-Filling Curves, Texte imprimé, 9783642310454 • Space-Filling Curves, Texte imprimé, 9783642310478 • Space-Filling Curves, Texte imprimé, 9783662522363 |
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| 100 | 1 | |a Bader, Michael, |d 19..- | |
| 245 | 1 | 0 | |a Space-filling curves : |b an introduction with applications in scientific computing |c by Michael Bader. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Texts in Computational Science and Engineering |v 9 |x 2197-179X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |t Space-Filling Curves |b Texte imprimé |z 9783642310454 | |
| 776 | 0 | |t Space-Filling Curves |b Texte imprimé |z 9783642310478 | |
| 776 | 0 | |t Space-Filling Curves |b Texte imprimé |z 9783662522363 | |
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