Intelligent Numerical Methods: Applications to Fractional Calculus (Studies in Computational Intelligence)
暫譯: 智能數值方法:分數微積分的應用(計算智能研究)

George A. Anastassiou, Ioannis K. Argyros

  • 出版商: Springer
  • 出版日期: 2015-12-15
  • 售價: $6,780
  • 貴賓價: 9.5$6,441
  • 語言: 英文
  • 頁數: 423
  • 裝訂: Hardcover
  • ISBN: 3319267205
  • ISBN-13: 9783319267203
  • 相關分類: 微積分 Calculus
  • 海外代購書籍(需單獨結帳)

商品描述

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.

Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book’s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.

商品描述(中文翻譯)

在這本專著中,作者首次在文獻中提出了牛頓型、類牛頓及其他數值方法,這些方法涉及分數導數和分數積分算子。其目的是數值解決那些相關函數在普通意義上可能是不可微的方程。這在某種程度上擴展了經典牛頓方法理論,該理論要求函數的通常可微性。

各章節內容獨立且可單獨閱讀,並且可以從這本書中教授幾個進階課程。每章都提供了廣泛的參考文獻。這本書的結果預期能在應用數學、隨機過程、計算機科學和工程等許多領域找到應用。因此,這本專著適合研究人員、研究生以及上述主題的研討會,也應該在所有科學和工程圖書館中收藏。