Intelligent Numerical Methods: Applications to Fractional Calculus

• 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: Engineering.; Artificial intelligence.; Computer mathematics.; Computational intelligence.; Complexity, Computational.; Computational Intelligence.; Artificial Intelligence (incl. Robotics).; Computational Science and Engineering.; Complexity.

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...

Πίνακας περιεχομένων:

• 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.