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A Unifying Framework for Perturbative Exponential Factorizations
(MDPI, 2021-03-17)
We propose a framework where Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the initial transformation that seeds the product
expansion. In this scheme, ...
Order of products of elements in finite groups
(WileyLondon Mathematical Society, 2018-10)
If G is a finite group, p is a prime, and x∈G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p‐elements y of G.
Splitting and composition methods with embedded error estimators
(Elsevier, 2019-12)
We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, ...
Phase portraits of Abel quadratic differential systems of the second kind
(Taylor & Francis, 2018)
We provide normal forms and the global phase portraits on the Poincaré
disk of some Abel quadratic differential equations of the second kind. Moreover, we also
provide the bifurcation diagrams for these global phase portraits.
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 ...
A Modified SIRD Model to Study the Evolution of the COVID-19 Pandemic in Spain
(Multidisciplinary Digital Publishing Institute, 2021-04-19)
In this paper, we use an SIRD model to analyze the evolution of the COVID-19 pandemic in
Spain, caused by a new virus called SARS-CoV-2 from the coronavirus family. This model is governed
by a nonlinear system of ...
On Multi-Index Filtrations Associated to Weierstraß Semigroups
(Springer, Cham, 2020-05-14)
This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints ...
Classical and Quantum Evaluation Codesat the Trace Roots
(IEEE, 2019-04)
We introduce a new class of evaluation linear codes by evaluating polynomials at the roots of a suitable trace function. We give conditions for self-orthogonality of these codes and their subfield-subcodes with respect to ...
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 ...
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
(IEEE, 2020-01-17)
The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ...