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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 ... -
Dynamics of subfamilies of Ostrowski–Chun methods
Elsevier (2020-09-25)In this paper, we classify the fixed and critical points of the bi-parametric family of Ostrowski–Chun methods applied onquadratic polynomials. We obtain the values of the parameters that reduce the number ... -
Effectiveness of Hyperthermic Intraperitoneal Chemotherapy Associated with Cytoreductive Surgery in the Treatment of Advanced Ovarian Cancer: Systematic Review and Meta-Analysis
MDPI (2023-01-30)Objective: The use of hyperthermic intraperitoneal chemotherapy (HIPEC) as a treatment for epithelial ovarian cancer remains controversial. Our study aims to analyze the overall survival and disease-free survival for the ... -
Efficient time integration methods for Gross-Pitaevskii equations with rotation term
American Institute of Mathematical Sciences (2019)The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, ... -
Eliahou number, Wilf function and concentration of a numerical semigroup
Taylor & Francis (2022-03-30)We give an estimate of the minimal positive value of the Wilf function of a numerical semigroup in terms of its concentration. We describe necessary conditions for a numerical semigroup to have a negative Eliahou number ... -
Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets
MDPI (2023)In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff space X into the fuzzy sets of Rn , (FUSCB(Rn),Hend) , which are upper semi-continuous and have bounded ... -
Exponential Perturbative Expansions and Coordinate Transformations
MDPI (2020)We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet–Magnus expansion for periodic ... -
Families of efficient low order processed composition methods
Elsevier (2024-10)New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differential equations whose vector field is ... -
Fast Algorithms for the Computation of the Minimum Distance of a Random Linear Code
Association for Computing Machinery (ACM) (2019-06)The minimum distance of an error-correcting code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is crucial to many problems in this area. ...