000			03920cam a22004095i 4500
001			41326
003			BAUN
005			20240114201323.0
008			151207s2016 gw | |||| 0|eng d
020			_a9783319267210
020			_a9783319267203 _qprint
035			_a(OCoLC)
040			_aWaSeSS _beng _cWaSeSS _dBAUN _erda
049			_aBAUN_MERKEZ
050		4	_aQ342 _b.A537 2016
082	0	4	_223
100	1		_aAnastassiou, George A.
245	1	0	_aIntelligent Numerical Methods: Applications to Fractional Calculus / _cby George A. Anastassiou, Ioannis K. Argyros.
250			_a1st ed. 2016.
264		1	_aCham : _bSpringer International Publishing : _c2016.
264		1	_bImprint: Springer, _c2016.
300			_aXVI, 423 pages 2 illustrations in color. : _billustrations ; _c24 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
490	1		_aStudies in Computational Intelligence, _x1860-949X ; _v624
505	0	0	_tNewton-Like Methods on Generalized Banach Spaces and Fractional Calculus _t-- Semilocal Convegence of Newton-Like Methods and Fractional Calculus _t-- Convergence of Iterative Methods and Generalized Fractional Calculus _t-- Fixed Point Techniques And Generalized Right Fractional Calculus _t-- Approximating Fixed Points And K-Fractional Calculus _t-- Iterative Methods And Generalized G-Fractional Calculus _t-- Unified Convergence Analysis For Iterative Algorithms And Fractional Calculus _t-- Convergence Analysis For Extended Iterative Algorithms And Fractional And Vector Calculus _t-- Convergence Analysis For Extended Iterative Algorithms And Fractional Calculus _t-- Secant-Like Methods And Fractional Calculus _t-- Secant-Like Methods And Modified G- Fractional Calculus _t-- Secant-Like Algorithms And Generalized Fractional Calculus _t-- Secant-Like Methods And Generalized G-Fractional Calculus Of Canavati-Type _t-- Iterative Algorithms And Left-Right Caputo Fractional Derivatives _t-- Iterative Methods On Banach Spaces With A Convergence Structure And Fractional Calculus _t-- Inexact Gauss-Newton Method For Singular Equations _t-- The Asymptotic Mesh Independence Principle _t-- Ball Convergence Of A Sixth Order Iterative Method _t-- Broyden’s Method With Regularily Continuous Divided Differences _t-- Left General Fractional Monotone Approximation _t-- Right General Fractional Monotone Approximation Theor _t-- Left Generalized High Order Fractional Monotone Approximation _t-- Right Generalized High Order Fractional Monotone Approximation _t-- Advanced Fractional Taylor’s Formulae _t-- Generalized Canavati Type Fractional Taylor’s Formulae.
520			_aIn 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	_aEngineering.
650		0	_aArtificial intelligence.
650		0	_aComputer mathematics.
650		0	_aComputational intelligence.
650		0	_aComplexity, Computational.
700	1		_aArgyros, Ioannis K.
830		0	_9108418 _aStudies in computational intelligence ; _v624
942			_2lcc _cKT
999			_c38109 _d38109