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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, an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Texts in Computational Science and Engineering,
9 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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 .