Intelligent Numerical Methods: Applications to Fractional Calculus

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Anastassiou, George A. (Συγγραφέας), Argyros, Ioannis K. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
Έκδοση:1st ed. 2016.
Σειρά:Studies in Computational Intelligence, 624
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 04433nam a22005295i 4500
001 978-3-319-26721-0
003 DE-He213
005 20151209023147.0
007 cr nn 008mamaa
008 151207s2016 gw | s |||| 0|eng d
020 |a 9783319267210  |9 978-3-319-26721-0 
024 7 |a 10.1007/978-3-319-26721-0  |2 doi 
040 |d GrThAP 
050 4 |a Q342 
072 7 |a UYQ  |2 bicssc 
072 7 |a COM004000  |2 bisacsh 
082 0 4 |a 006.3  |2 23 
100 1 |a Anastassiou, George A.  |e author. 
245 1 0 |a Intelligent Numerical Methods: Applications to Fractional Calculus  |h [electronic resource] /  |c by George A. Anastassiou, Ioannis K. Argyros. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XVI, 423 p. 2 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Studies in Computational Intelligence,  |x 1860-949X ;  |v 624 
505 0 |a Newton-Like Methods on Generalized Banach Spaces and Fractional Calculus -- Semilocal Convegence of Newton-Like Methods and Fractional Calculus -- Convergence of Iterative Methods and Generalized Fractional Calculus -- Fixed Point Techniques And Generalized Right Fractional Calculus -- Approximating Fixed Points And K-Fractional Calculus -- Iterative Methods And Generalized G-Fractional Calculus -- Unified Convergence Analysis For Iterative Algorithms And Fractional Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional And Vector Calculus -- Convergence Analysis For Extended Iterative Algorithms And Fractional Calculus -- Secant-Like Methods And Fractional Calculus -- Secant-Like Methods And Modified G- Fractional Calculus -- Secant-Like Algorithms And Generalized Fractional Calculus -- Secant-Like Methods And Generalized G-Fractional Calculus Of Canavati-Type -- Iterative Algorithms And Left-Right Caputo Fractional Derivatives -- Iterative Methods On Banach Spaces With A Convergence Structure And Fractional Calculus -- Inexact Gauss-Newton Method For Singular Equations -- The Asymptotic Mesh Independence Principle -- Ball Convergence Of A Sixth Order Iterative Method -- Broyden’s Method With Regularily Continuous Divided Differences -- Left General Fractional Monotone Approximation -- Right General Fractional Monotone Approximation Theor -- Left Generalized High Order Fractional Monotone Approximation -- Right Generalized High Order Fractional Monotone Approximation -- Advanced Fractional Taylor’s Formulae -- Generalized Canavati Type Fractional Taylor’s Formulae. 
520 |a 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. 
650 0 |a Engineering. 
650 0 |a Artificial intelligence. 
650 0 |a Computer mathematics. 
650 0 |a Computational intelligence. 
650 0 |a Complexity, Computational. 
650 1 4 |a Engineering. 
650 2 4 |a Computational Intelligence. 
650 2 4 |a Artificial Intelligence (incl. Robotics). 
650 2 4 |a Computational Science and Engineering. 
650 2 4 |a Complexity. 
700 1 |a Argyros, Ioannis K.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319267203 
830 0 |a Studies in Computational Intelligence,  |x 1860-949X ;  |v 624 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-26721-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-ENG 
950 |a Engineering (Springer-11647)