Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
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Beschreibung
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.
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.
Presents recent original research of the authors in Numerical Analysis and Fractional Calculus The chapters are self-contained and can be read independently including an extensive list of references per chapter Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, involvingCaputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators Includes supplementary material: sn.pub/extras
Autor*in
George A. Anastassiou
Themen in »Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus«
Computational Intelligence Intelligent Systems Intelligent Numerical Methods Fractional Calculus Numerical Analysis complexity