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Space-filling curves : an introduction with applications in scientific computing / Michael Bader.

By: Series: Texts in computational science and engineering ; 9.Heidelberg ; Springer, �2013New York : Springer, �2013Description: xiii, 278 pages : illustrations (some color) ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9783642310454
  • 3642310451
Subject(s): LOC classification:
  • QA643 .B33 2013
Contents:
1. Two motivating examples: sequential orders on quadtrees and multidimensional data structures -- 2. How to construct space-filling curves -- 3. Grammar-based description of space-filling curves -- 4. Arithmetic representation of space-filling curves -- 5. Approximating polygons -- 6. Sierpinski curves -- 7. Further space-filling curves -- 8. Space-filling curves in 3D -- 9. Refinement trees and space-filling curves -- 10. Parallelisation with space-filling curves -- 11. Locality properties of space-filling curves -- 12. Sierpinski curves on triangular and tetrahedral meshes -- 13. Case study: cache efficient algorithms for matrix operations -- 14. Case study: numerical simulation on spacetree grids using space-filling curves -- 15. Further applications of space-filling curves: references and readings -- A. Solutions to selected exercises.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
BOOK BOOK NCAR Library Mesa Lab QA643 .B33 2013 1 Available 50583020004820
Total holds: 0

Includes bibliographical references (pages 257-270) and index.

1. Two motivating examples: sequential orders on quadtrees and multidimensional data structures -- 2. How to construct space-filling curves -- 3. Grammar-based description of space-filling curves -- 4. Arithmetic representation of space-filling curves -- 5. Approximating polygons -- 6. Sierpinski curves -- 7. Further space-filling curves -- 8. Space-filling curves in 3D -- 9. Refinement trees and space-filling curves -- 10. Parallelisation with space-filling curves -- 11. Locality properties of space-filling curves -- 12. Sierpinski curves on triangular and tetrahedral meshes -- 13. Case study: cache efficient algorithms for matrix operations -- 14. Case study: numerical simulation on spacetree grids using space-filling curves -- 15. Further applications of space-filling curves: references and readings -- A. Solutions to selected exercises.

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