Space-Filling Curves: An Introduction with Applications in Scientific Computing (2013) | 誠品線上

Space-Filling Curves: An Introduction with Applications in Scientific Computing (2013)

內容簡介

內容簡介 本書是以空間填補曲線(SFC)為工具，應用在科學計算的導論，特別聚焦在SFC在視覺上的表達以及以結果為導向的演算法。例如：以電腦語法為基礎的技術，被引用在通盤讀取笛卡爾式的圖例以及八元樹網眼(用於描述三維空間的樹狀結構資料)中，用SFC的計算法來解釋如何計算SFC的套圖對映與索引方法。SFC的區域性特質在書中有詳細討論，並且加上它在演算法的重要性。平行化模板與快取演算法可說是將SFC應用在科學計算中最重要的部分。此外，本書也特別提到，適應網格精緻化與SFC的相互作用，其中包括：三角與四面體網格在結構上的精緻化。每一個主題，都有對目前最重要的出版品與研究活動的概論。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.

作者介紹

作者介紹 ■作者簡介Michael Bader慕尼黑工業大學計算機科學教授，他領導的團隊主要研究硬體導向的演算法以及高度表現計算的軟體，他的主要工作在開發SFC的區域特性被應用在科學與工程的模擬任務。

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