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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.
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 ...
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, ...
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
(American Institute of Mathematical Sciences (AIMS), 2018-01)
We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
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 ...
[S]-linear and convex structures in function families
(Elsevier, 2019)
In this paper, the notion of [S]-lineability (originally coined
by Vladimir I. Gurariy) is introduced and developed in a general abstract
setting. This new notion is, then, applied to specific situations, as for
instance, ...
Fast Algorithms for the Computation of the Minimum Distance of a Random Linear Code
(Association for Computing Machinery (ACM), 2019-06)
The minimum distance of an error-correcting code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is crucial to many problems in this area. ...
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 ...