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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 ...
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 ...
QOptCraft: A Python package for the design and study of linear optical quantum systems
(Elsevier, 2022-08-29)
The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most ...
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 ...
Sampling Almost Periodic and Related Functions
(Springer, 2020-10)
We consider certain finite sets of circle-valued functions defined on intervals of real numbers and estimate how large the intervals must be for the values of these functions to be uniformly distributed in an approximate ...
Achievable connectivities of Fatou components for a family of singular perturbations
(American Institute of Mathematical Sciences, 2022-09)
In this paper we study the connectivity of Fatou components for maps in a large
family of singular perturbations. We prove that, for some parameters inside the family, the
dynamical planes for the corresponding maps ...
High order integrators obtained by linear combinations of symmetric-conjugate compositions
(Elsevier, 2022-02-01)
A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ...
Numerical integrators based on the Magnus expansion for nonlinear dynamical systems
(Elsevier, 2020-03-15)
Explicit numerical integration algorithms up to order four based on the Magnus expansion for nonlinear non-autonomous ordinary differential equations are presented and tested on problems possessing qualitative (very often, ...
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 ...
A characterization of a local vector valued Bollobás Theorem
(Springer Nature, 2021-07-30)
In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ...