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[ author_sort:"anastassiou, george a." ]
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Intelligent numerical methods II[ele...
~
Anastassiou, George A.
Intelligent numerical methods II[electronic resource] :applications to multivariate fractional Calculus /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
519.535
書名/作者:
Intelligent numerical methods II : applications to multivariate fractional Calculus // by George A. Anastassiou, Ioannis K. Argyros.
作者:
Anastassiou, George A.
其他作者:
Argyros, Ioannis K.
出版者:
Cham : : Springer International Publishing :, 2016.
面頁冊數:
xii, 116 p. : : ill., digital ;; 24 cm.
Contained By:
Springer eBooks
標題:
Multivariate analysis.
標題:
Fractional calculus.
標題:
Engineering.
標題:
Computational Intelligence.
標題:
Artificial Intelligence (incl. Robotics)
標題:
Computational Science and Engineering.
標題:
Complexity.
ISBN:
9783319336060
ISBN:
9783319336053
內容註:
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.
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1007/978-3-319-33606-0
Intelligent numerical methods II[electronic resource] :applications to multivariate fractional Calculus /
Anastassiou, George A.
Intelligent numerical methods II
applications to multivariate fractional Calculus /[electronic resource] :by George A. Anastassiou, Ioannis K. Argyros. - Cham :Springer International Publishing :2016. - xii, 116 p. :ill., digital ;24 cm. - Studies in computational intelligence,v.6491860-949X ;. - Studies in computational intelligence ;v.379..
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.
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.
ISBN: 9783319336060
Standard No.: 10.1007/978-3-319-33606-0doiSubjects--Topical Terms:
182818
Multivariate analysis.
LC Class. No.: QA278
Dewey Class. No.: 519.535
Intelligent numerical methods II[electronic resource] :applications to multivariate fractional Calculus /
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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.
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