Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory
暫譯: 結構與材料中的不完美分岔:群論分岔理論的工程應用

Ikeda, Kiyohiro, Murota, Kazuo

  • 出版商: Springer
  • 出版日期: 2019-10-07
  • 售價: $3,560
  • 貴賓價: 9.5$3,382
  • 語言: 英文
  • 頁數: 566
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030214729
  • ISBN-13: 9783030214722
  • 海外代購書籍(需單獨結帳)

商品描述

The ?rst edition of this book was published in 2002 for an audience of applied mathematicians and engineers. The response to the ?rst edition, represented by sev eral book reviews, has been most heartening. Accordingly, the second edition of this book maintains its major framework and serves as an expanded revision of our previous work. In the second edition, the theoretical backgrounds of group representation the ory are strengthened and made self contained, in response to a request of a book reviewer and students of the authors. Based on these strengthened backgrounds, a theory and a numerical procedure on block diagonalization are presented. Among a number of methodologies, block diagonalization analysis has come to be acknowl edged as a systematic and rigorous procedure for symmetry exploitation for the following two purposes: - Gain better insight into bifurcation behaviors via blockwise singularity detection. - Enhance the computational e?ciency and accuracy of the numerical analysis.

商品描述(中文翻譯)

本書的第一版於2002年出版,面向應用數學家和工程師。對於第一版的反應,透過幾篇書評表現出來,令人感到非常振奮。因此,本書的第二版保持了其主要框架,並作為我們先前工作的擴展修訂。在第二版中,群表示理論的理論背景得到了加強並且自成體系,以回應書評人和作者學生的要求。基於這些加強的背景,提出了一種理論和一種關於區塊對角化的數值程序。在多種方法論中,區塊對角化分析已被認可為一種系統且嚴謹的程序,用於對稱性利用,目的有兩個:
- 通過區塊式奇異性檢測來更好地洞察分岔行為。
- 提高數值分析的計算效率和準確性。

作者簡介

Kiyohiro Ikeda is a Professor in the Department of Civil Engineering, Graduate School of Engineering at Tohoku University. Kazuo Murota is a Professor in the Department of Mathematical Informatics, Graduate School of Information Science and Technology at University of Tokyo.

作者簡介(中文翻譯)

池田清宏是東北大學工程研究所土木工程系的教授。室田和夫是東京大學資訊科學與技術研究所數學資訊系的教授。