Intelligent Numerical Methods: Applications to Fractional Calculus

Nonfiction, Computers, Advanced Computing, Artificial Intelligence, Computer Science, General Computing
Cover of the book Intelligent Numerical Methods: Applications to Fractional Calculus by George A. Anastassiou, Ioannis K. Argyros, Springer International Publishing
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Author: George A. Anastassiou, Ioannis K. Argyros ISBN: 9783319267210
Publisher: Springer International Publishing Publication: December 7, 2015
Imprint: Springer Language: English
Author: George A. Anastassiou, Ioannis K. Argyros
ISBN: 9783319267210
Publisher: Springer International Publishing
Publication: December 7, 2015
Imprint: Springer
Language: English

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.

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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.

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