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Listar por palabra clave "Nonlinear problems"

Mostrando ítems 1-8 de 8

Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems

Cordero Barbero, Alicia; Giménez-Palacios, Ivan; Torregrosa Sánchez, Juan Ramón (Elsevier, 2019-03)

[EN] Searching zeros of nonlinear functions often employs iterative procedures. In this paper, we construct several families of iterative methods with memory from one without memory, that is, we have increased the order ...
Diferencias finitas para problemas de valor inicial no lineal

Villavicencio Mera, Julio Cesar (Universitat Politècnica de València, 2022-01-14)

[ES] En este trabajo se hace un estudio sobre como resolver los muy conocidos problemas de valor inicial en su caso no lineal, mediante el método de diferencias finitas y métodos iterativos que resuelvan el sistema no ...
Diseño, análisis y estabilidad de métodos iterativos para resolver problemas no lineales

Guasp Alburquerque, Lucía (Universitat Politècnica de València, 2019-08-01)

[ES] En todas las disciplinas de la ciencia, desde la ingeniería hasta la economía, encontrar las soluciones de una ecuación es esencial. Puesto que los métodos iterativos nos permiten encontrar dichas soluciones de ...
Dynamical analysis to explain the numerical anomalies in the family of Ermakov-Kalitkin type methods

Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vindel, Pura (Vilnius Gediminas Technical University, 2019)

[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 ...
Parametric Family of Root-Finding Iterative Methods: Fractals of the Basins of Attraction

Padilla, José J.; Chicharro, Francisco I.; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón (MDPI AG, 2022-10)

[EN] Research interest in iterative multipoint schemes to solve nonlinear problems has increased recently because of the drawbacks of point-to-point methods, which need high-order derivatives to increase the order of ...
Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane

Magreñán Ruiz, Ángel Alberto; Cordero Barbero, Alicia; Gutiérrez Jiménez, José Manuel; Torregrosa Sánchez, Juan Ramón (Elsevier, 2014-11)

The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...
Solving Riccati time-dependent models with random quadratic coefficient

Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte Altuzar, Laura (Elsevier, 2011-12)

This paper deals with the construction of approximate solutions of a random logistic differential equation whose nonlinear coefficient is assumed to be an analytic stochastic process and the initial condition is a random ...
Stability analysis of a parametric family of iterative methods for solving nonlinear models

Cordero Barbero, Alicia; Gutiérrez, José Manuel; Magreñán, A. Alberto; Torregrosa Sánchez, Juan Ramón (Elsevier, 2016-07-20)

A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order of convergence of all members in this family, except one of them whose order is five. The methods ...