Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

Nonfiction, Computers, Advanced Computing, Artificial Intelligence, Computer Science, General Computing
Cover of the book Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus by George A. Anastassiou, Ioannis K. Argyros, Springer International Publishing
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Author: George A. Anastassiou, Ioannis K. Argyros ISBN: 9783319336060
Publisher: Springer International Publishing Publication: April 27, 2016
Imprint: Springer Language: English
Author: George A. Anastassiou, Ioannis K. Argyros
ISBN: 9783319336060
Publisher: Springer International Publishing
Publication: April 27, 2016
Imprint: Springer
Language: English

In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the first time in the literature. The chapters are self-contained and can be read independently. 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 short monograph is suitable for researchers, graduate students, to be used in graduate classes and seminars of the above subjects, also to be in all science and engineering libraries.

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In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the first time in the literature. The chapters are self-contained and can be read independently. 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 short monograph is suitable for researchers, graduate students, to be used in graduate classes and seminars of the above subjects, also to be in all science and engineering libraries.

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