Matrix-based Multigrid: Theory and Applications (Numerical Methods and Algorithms)
暫譯: 基於矩陣的多重網格:理論與應用(數值方法與演算法)
Yair Shapira
- 出版商: Springer
- 出版日期: 2008-07-02
- 售價: $2,470
- 貴賓價: 9.5 折 $2,347
- 語言: 英文
- 頁數: 318
- 裝訂: Hardcover
- ISBN: 0387497641
- ISBN-13: 9780387497648
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相關分類:
Algorithms-data-structures
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商品描述
Matrix-Based Multigrid introduces and analyzes the multigrid approach for the numerical solution of large sparse linear systems arising from the discretization of elliptic partial differential equations. Special attention is given to the powerful matrix-based-multigrid approach, which is particularly useful for problems with variable coefficients and nonsymmetric and indefinite problems.
This book can be used as a textbook in courses in numerical analysis, numerical linear algebra, and numerical PDEs at the advanced undergraduate and graduate levels in computer science, math, and applied math departments. The theory is written in simple algebraic terms and therefore requires preliminary knowledge only in basic linear algebra and calculus.
商品描述(中文翻譯)
《基於矩陣的多重網格》介紹並分析了多重網格方法,用於數值解決由橢圓偏微分方程離散化所產生的大型稀疏線性系統。特別關注強大的基於矩陣的多重網格方法,這對於具有變係數以及非對稱和不確定問題的問題特別有用。
本書可作為計算機科學、數學和應用數學系所的高年級本科生和研究生課程中數值分析、數值線性代數和數值偏微分方程的教科書。理論部分以簡單的代數術語撰寫,因此僅需具備基本線性代數和微積分的初步知識。