Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
Published on 9. May 2016
Book
Hardback
XII, 116 pages
978-3-319-33605-3 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
XII, 116 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 13 mm
Weight
366 gr
ISBN-13
978-3-319-33605-3 (9783319336053)
DOI
10.1007/978-3-319-33606-0
Schweitzer Classification
Other editions
Additional editions
George A. Anastassiou | Ioannis K. Argyros
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
Book
05/2018
Springer
€106.99
Shipment within 10-15 days
George A. Anastassiou | Ioannis K. Argyros
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
E-Book
04/2016
Springer
€96.29
Available for download
Persons
George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more.
Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.
Content
Fixed Point Results and Applications in Left Multivariate Fractional Calculus.- Fixed Point Results and Applications in Right Multivariate Fractional Calculus.- Semi-local Iterative Procedures and Applications In K-Multivariate Fractional Calculus.- Newton-like Procedures and Applications in Multivariate Fractional Calculus.- Implicit Iterative Algorithms and Applications in Multivariate Calculus.- Monotone Iterative Schemes and Applications in Fractional Calculus.- Extending the Convergence Domain of Newton's Method.- The Left Multidimensional Riemann-Liouville Fractional Integral.- The Right Multidimensional Riemann-Liouville Fractional Integral.