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Advances in iterative methods for no...

Amat, Sergio.

Advances in iterative methods for nonlinear equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Advances in iterative methods for nonlinear equationsedited by Sergio Amat, Sonia Busquier.
other author:	Amat, Sergio.
Published:	Cham :Springer International Publishing :2016.
Description:	v, 286 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Iterative methods (Mathematics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-39228-8
ISBN:	9783319392288$q(electronic bk.)

Advances in iterative methods for nonlinear equations
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.4..

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$q(electronic bk.)

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

185853
Iterative methods (Mathematics)

LC Class. No.: QA297.8

Dewey Class. No.: 518.26

Advances in iterative methods for nonlinear equations
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245 0 0 $a Advances in iterative methods for nonlinear equations $h [electronic resource] / $c edited by Sergio Amat, Sonia Busquier.
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300 $a v, 286 p. : $b ill., digital ; $c 24 cm.
490 1 $a SEMA SIMAI Springer series, $x 2199-3041 ; $v v.10
520 $a 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.
650 0 $a Iterative methods (Mathematics) $3 185853
650 0 $a Differential equations, Nonlinear. $3 185178
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
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650 2 4 $a Difference and Functional Equations. $3 274826
650 2 4 $a Computational Science and Engineering. $3 274685
650 2 4 $a Algorithms. $3 184661
700 1 $a Amat, Sergio. $3 760293
700 1 $a Busquier, Sonia. $3 760294
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950 $a Mathematics and Statistics (Springer-11649)