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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 ...
Foliations with isolated singularities on Hirzebruch surfaces
(De Gruyter, 2021)
We study foliations ℱ on Hirzebruch surfaces Sδ and prove that, similarly to those on the projective plane, any ℱ can be represented by a bi-homogeneous polynomial affine 1-form. In case ℱ has isolated singularities, we ...
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 ...
The weak compactification of locally compact groups
(Elsevier, 2021)
We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact ...
Interpolation sets in spaces of continuous metric-valued functions
(Elsevier, 2018-10)
Let X and K be a Cech-complete topological group and a compact group, ˇ
respectively. We prove that if G is a non-equicontinuous subset of CHom(X; K), the set
of all continuous homomorphisms of X into K, then there is a ...
Applying splitting methods with complex coefficients to the numerical integration of unitary problems
(American Institute of Mathematical Sciences (AIMS), 2022)
We explore the applicability of splitting methods involving complex coefficients to solve numerically the time-dependent Schr¨odinger equation.
We prove that a particular class of integrators are conjugate to unitary ...
Homomorphic encoders of profinite abelian groups I
(Elsevier, 2023-05)
Let {Gi |i ∈ N} be a family of finite Abelian groups. We say that a subgroup
G ≤
i∈N
Gi is order controllable if for every i ∈ N there is ni ∈ N such that for
each c ∈ G, there exists a ∈ G satisfying that a|[1,i] = ...
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)Centro Universitario de Ciencias Exactas e Ingenierías (CUCEI), Universidad de Guadalajara (UdeG)., 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 ...
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 ...
Reliability Validation of a Low-Cost Particulate Matter IoT Sensor in Indoor and Outdoor Environments Using a Reference Sampler
(MDPI, 2019)
A suitable and quick determination of air quality allows the population to be alerted with respect to high concentrations of pollutants. Recent advances in computer science have led to the development of a high number of ...