Intelligent numerical methods Applications to Fractional Calculus George A. Anastassiou

This completed downloadable of Intelligent numerical methods Applications to Fractional Calculus George A. Anastassiou 

Instant downloaded Intelligent numerical methods Applications to Fractional Calculus George A. Anastassiou pdf docx epub after payment.

Product details:

• ISBN-10 ‏ : ‎ 3319800035
• ISBN-13 ‏ : ‎ 978-3319800035
• Author:  George A. Anastassiou (Author), Ioannis K. Argyros (Author)

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.

Table of contents:

1. Newton-Like Methods on Generalized Banach Spaces and Fractional Calculus

2. Semilocal Convegence of Newton-Like Methods and Fractional Calculus

3. Convergence of Iterative Methods and Generalized Fractional Calculus

4. Fixed Point Techniques and Generalized Right Fractional Calculus

5. Approximating Fixed Points and k-Fractional Calculus

6. Iterative Methods and Generalized g-Fractional Calculus

7. Unified Convergence Analysis for Iterative Algorithms and Fractional Calculus

8. Convergence Analysis for Extended Iterative Algorithms and Fractional and Vector Calculus

9. Convergence Analysis for Extended Iterative Algorithms and Fractional Calculus

10. Secant-Like Methods and Fractional Calculus

11. Secant-Like Methods and Modified g-Fractional Calculus

12. Secant-Like Algorithms and Generalized Fractional Calculus

13. Secant-Like Methods and Generalized g-Fractional Calculus of Canavati-Type

14. Iterative Algorithms and Left-Right Caputo Fractional Derivatives

15. Iterative Methods on Banach Spaces with a Convergence Structure and Fractional Calculus

16. Inexact Gauss-Newton Method for Singular Equations

17. The Asymptotic Mesh Independence Principle

18. Ball Convergence of a Sixth Order Iterative Method

19. Broyden’s Method with Regularly Continuous Divided Differences

20. Left General Fractional Monotone Approximation

21. Right General Fractional Monotone Approximation Theory

22. Left Generalized High Order Fractional Monotone Approximation

23. Right Generalized High Order Fractional Monotone Approximation

24. Advanced Fractional Taylor’s Formulae

25. Generalized Canavati Type Fractional Taylor’s Formulae

People also search:

introduction to numerical methods mit

iterative numerical methods

numerical intelligence

numerical methods in scientific computing

computational intelligence methods and applications