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...

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Détails bibliographiques
Auteur principal: Bader, Michael, 19..-
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Édition:1st ed. 2013.
Collection:Texts in Computational Science and Engineering 9
Accès en ligne:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Note: 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
Table des matières:
  • 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