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Advances in iterative methods for nonlinear equations[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	518.26
書名/作者:	Advances in iterative methods for nonlinear equations/ edited by Sergio Amat, Sonia Busquier.
其他作者:	Amat, Sergio.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	v, 286 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Iterative methods (Mathematics)
標題:	Differential equations, Nonlinear.
標題:	Mathematics.
標題:	Numerical Analysis.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Functional Analysis.
標題:	Difference and Functional Equations.
標題:	Computational Science and Engineering.
標題:	Algorithms.
ISBN:	9783319392288
ISBN:	9783319392271
摘要、提要註:	This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
電子資源:	http://dx.doi.org/10.1007/978-3-319-39228-8

Advances in iterative methods for nonlinear equations[electronic resource] /
Advances in iterative methods for nonlinear equations[electronic resource] /edited by Sergio Amat, Sonia Busquier. - Cham :Springer International Publishing :2016. - v, 286 p. :ill., digital ;24 cm. - SEMA SIMAI Springer series,v.102199-3041 ;. - SEMA SIMAI Springer series ;v.6..

This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

ISBN: 9783319392288

Standard No.: 10.1007/978-3-319-39228-8doiSubjects--Topical Terms:

404166
Iterative methods (Mathematics)

LC Class. No.: QA297.8

Dewey Class. No.: 518.26

Advances in iterative methods for nonlinear equations[electronic resource] /
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