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Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods

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Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods

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Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel, P. (2019). Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods. Mathematical Modelling and Analysis. 24(3):335-350. https://doi.org/10.3846/mma.2019.021

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/159367

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Title: Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods
Author: Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel, Pura
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this paper, we study the dynamics of an iterative method based on the Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. As it was proven in "A new family of iterative methods widening ...[+]
Subjects: Nonlinear problems , Iterative methods , Complex dynamics , Dynamical and parameter planes , Critical points
Copyrigths: Reconocimiento (by)
Source:
Mathematical Modelling and Analysis. (issn: 1392-6292 )
DOI: 10.3846/mma.2019.021
Publisher:
Vilnius Gediminas Technical University
Publisher version: https://doi.org/10.3846/mma.2019.021
Project ID:
UJI/P1.1B20115-16
MINISTERIO DE ECONOMIA Y EMPRESA/MTM2014-52016-C2-2-P
GENERALITAT VALENCIANA/PROMETEO/2016/089
Thanks:
This research was supported by Spanish Ministry grant MTM2014-52016-C02-2-P, Generalitat Valenciana PROMETEO/2016/089 and UJI project P1.1B20115-16. The authors also want to thank the anonymous referees for their suggestions ...[+]
Type: Artículo

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