Browsing Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC) by Title
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Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity
University of Sistan and Baluchestan (2019)In [25], Katsaras introduced a method for constructing a Hutton [0,1]-quasi-uniformity from a crisp uniformity. In thispaper we present other different methods for making this based mainly in the concept of a fuzzy uniform ... -
Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions
Elsevier (2018-05-15)Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis. In this paper we study completeness, ... -
Composition Methods for Dynamical Systems Separable into Three Parts
MDPI (2020)New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into ... -
Comprensión del conjunto solución de un sistema de ecuaciones lineales de dos incógnitas: un estudio de casos
Sociedad Mexicana de Investigación y Divulgación de la Educación Matemática A. C. (SOMIDEM, A. C) (2022-12)En este artículo se reporta cómo estudiantes chilenos, de secundaria y universitarios, comprenden el Conjunto Solución de un Sistema de Ecuaciones Lineales de tres ecuaciones y dos incógnitas (CSSEL3x2). El estudio se ... -
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation
MDPI (2019)A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces the number of matrix multiplications in comparison with the de-facto standard Paterson-Stockmeyer method for polynomial ... -
Computing the matrix sine and cosine simultaneously with a reduced number of products
Elsevier (2021-05)A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two versions ... -
Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials
Elsevier (2020-03)We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction ... -
Continuous changes of variables and the Magnus expansion
IOP (2019-09-23)In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by ... -
Continuous Selections and Extremally Disconnected Spaces
MDPI (2023)This paper deals with extremally disconnected spaces and extremally disconnected Pspaces. A space X is said to be extremally disconnected if, for every open subset V of X, the closure of V in X is also an open set. P-spaces ... -
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
Oxford University Press (2018-04)The main objective of this work is to provide a stability and error analysis of high-order commutator-free quasi-Magnus (CFQM) exponential integrators. These time integration methods for nonautonomous linear evolution ... -
Convergence regions for the Chebyshev–Halley family
Elsevier (2018-03)In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ... -
Could Plant Hormones Provide a Reliable Tool for Early Detection of Rhynchophorus ferrugineus (Coleóptera: Curculionidae) Infested Palms?
Entomological Research Society (2019-03)Rhynchophorus ferrugineus (Olivier) (Coleoptera: Curculionidae) is one of the most important pest of palms worldwide. A serious management problem is the difficulty of detecting early infestation stages, which is critical ... -
Data on CO2, temperature and air humidity records in Spanish classrooms during the reopening of schools in the COVID-19 pandemic
Elsevier (2021-10-17)In order to reduce the advance of the pandemic produced by COVID-19, many actions and restrictions have been applied and the field of education has been no exception. In Spain, during the academic year 2020–2021, face-to-face ... -
Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes
American Institute of Mathematical Sciences (2020)In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the equivalence between operator-valued ‘p-multipliers ... -
Dynamical analysis of an iterative method with memory on a family of third-degree polynomials
AIMS Press (2022)Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we accomplish ... -
Dynamical Analysis to Explain the NumericalAnomalies in the Family of Ermakov-KalitkinType Methods
Vilnius Gediminas Technical University (VGTU) Press (2019)In this paper, we study the dynamics of an iterative method based onthe Ermakov-Kalitkin class of iterative schemes for solving nonlinear equations. Asit was proven in ”A new family of iterative methods widening areas of ... -
Dynamical and numerical analysis of classical multiple roots finding methods applied for different multiplicities
Springer Nature (2024-05-08)The aim of this paper is the study of the robustness of classical methods defined for finding multiple roots with single multiplicity m when they are used for approximating different roots of a function having different ... -
Dynamical mechanism behind ghosts unveiled in a map complexification
Elsevier (2022-01-14)Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ... -
Dynamics of a Family of Rational Operators of Arbitrary Degree
Vilnius Gediminas Technical University (2021-05-26). In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent ... -
Dynamics of Newton-like root finding methods
Springer (2022)When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been ...