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Symplectic propagators for the Kepler problem with time-dependent mass
(Springer, 2019-06)
New numerical integrators specifically designed for solving the two-body gravitational problem with a time-varying mass are presented. They can be seen as a generalization of commutator-free quasi-Magnus exponential ...
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 ...
Dynamical analysis of an iterative method with memory on a family of third-degree polynomials
(AIMS Press, 2022)
Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we accomplish ...
A Geometrical Study about the Biparametric Family of Anomalies in the Elliptic Two-Body Problem with Extensions to Other Families
(MDPI, 2024-02)
In the present paper, we efficiently solve the two-body problem for extreme cases such as those with high eccentricities. The use of numerical methods, with the usual variables, cannot maintain the perihelion passage ...
Stabilizer quantum codes defined by trace-depending polynomials
(Elsevier, 2022-12-29)
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending ...
Highly tempering infinite matrices
(Springer Milan, 2017-02)
In this short note, it is proved the existence of in nite matrices that
not only preserve convergence and limits of sequences but also convert every mem-
ber of some dense vector space consisting, except for zero, of ...
The Lyrids meteor shower: A historical perspective
(Elsevier Science Direct, 2023-10-26)
The April Lyrid meteor shower is the oldest meteor shower ever recorded continuously throughout history, dating as far back as 687 BC. Before the 20th century, historical sources only provided reports of two years of strong ...
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 ...
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 ...