Organizers: Gutiérrez Jiménez, José Manuel (Universidad de La Rioja), Hernández-Verón, Miguel A. (Universidad de La Rioja)
Abstract
Solving nonlinear equations is one of the problems that appears more frequently in different scientific disciplines. Iterative processes play a key role for approximating the solutions of such equations. The target of this session is to show some research lines developed in this discipline, such as the study of the convergence of the considered iterative process, the analysis of their dynamical behavior or the numerical treatment of some particular problems, such as systems of nonlinear equations, optimization problems, matrix equations, differential or integral equations, etc.
Keywords: Nonlinear equations; Newton's method; Iterative methods
Sesssion 7. Thursday 11:30 – 13:35. Room A6.
Chair: Gutiérrez Jiménez, José Manuel (Universidad de La Rioja)
Speaker |
Organization |
Contribution title |
Torregrosa, Juan R. |
Universidad Politécnica de Valencia |
Iterative methods with memory for approximating generalized inverses |
Martínez Molada, Eulalia |
Universidad Politécnica de Valencia |
A predictor-corrector iterative scheme for improving the accessibility of the Steffensen-type methods |
Yakoubsohn, Jean-Claude |
Université Paul Sabatier, Toulouse |
High order numerical methods for systems of equations |
Romero Álvarez, Natalia |
Universidad de La Rioja |
On iterative schemes for matrix equations |
|
|
|
Session 8. Thursday 18:00 – 20:00. Room A6.
Chair: Martínez Molada, Eulalia (Universidad Politécnica de Valencia)
Speaker |
Organization |
Contribution title |
Cordero, Alicia |
Universidad Politécnica de Valencia |
Fractional iterative methods for solving nonlinear problems |
Garrido, Neus |
Universidad Politécnica de Valencia |
Iterative processes for the solution of fuzzy equations |
Chicharro, Francisco I. |
Universidad Internacional de La Rioja |
Different approximations of the parameter for low-order iterative methods with memory |
|
|
|
Session 9. Friday 11:30 – 13:10. Room A6.
Chair: Yakoubsohn, Jean-Claude (Université Paul Sabatier, Toulouse)
Speaker |
Organization |
Contribution title |
Amat, Sergio |
Universidad Politécnica de Cartagena |
A general progressive strategy to improve the order of accuracy of WENO schemes |
Gutiérrez Jiménez, José Manuel |
Universidad de La Rioja |
Picard-type iterations for solving Fredholm integral equations |
Magreñán, Ángel Alberto |
Universidad de La Rioja |
New results on Convergence and Dynamics of a High-Order Method |
|
|
|