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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, ...
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 ...
Runge–Kutta–Nyström symplectic splitting methods of order 8
(Elsevier, 2022-12)
Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ...
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 ...
The Bishop-Phelps-Bollobás properties in complex Hilbert space
(Wiley, 2021-12-02)
In this paper, we consider theBishop–Phelps–Bollobás point propertyfor variousclasses of operators on complex Hilbert spaces, which is a stronger property thanthe Bishop–Phelps–Bollobás property. We also deal with analogous ...
Invertibles in topological rings: a new approach
(Springer, 2021-11-15)
Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we
define a new class of semi-normed ...
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 ...
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 ...