Buscar
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 ...
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 ...
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, ...
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 ...
Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras
(ElsevierAcademic Press, 2022-03-04)
A Banach algebra is Arens-regular when all its continuous functionals are weakly almost periodic, in symbols when
⁎
. To identify the opposite behaviour, Granirer called a Banach algebra extremely non-Arens regular ...
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
(Elsevier, 2023-11-10)
The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schrödinger and ...
Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems
(Oxford University Press, 2022-08-04)
Let X be a Banach space with a fundamental biorthogonal system, and let Y be the dense subspace spanned by the vectors of the system. We prove that Y admits a C∞-smooth norm that locally depends on finitely many coordinates ...
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 ...
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 ...
Optimal approximation to unitary quantum operators with linear optics
(Springer Nature, 2021-09-21)
Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov’s theorem from differential geometry, we ...