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Fuzzy quasi-pseudometrics on algebraic structures
(Elsevier, 2018-01)
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains
(Elsevier, 2018-03-15)
The aim of this paper is to introduce a new numerical method for solving the nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation. This method is combination of group preserving scheme (GPS) with radial basis ...
Dynamical mechanism behind ghosts unveiled in a map complexification
(Elsevier, 2022-01-14)
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...
Locally recoverable J-affine variety codes
(2020-06)
A locally recoverable (LRC) code is a code over a finite eld Fq such that
any erased coordinate of a codeword can be recovered from a small number of other
coordinates in that codeword. We construct LRC codes correcting ...
Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass
(Elsevier, 2019-04)
We consider the numerical time-integration of the non-stationary Klein–Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators is ...
A review of spatiotemporal models for count data in R packages. A case study of COVID-19 data
(MDPI, 2021-07-01)
Spatiotemporal models for count data are required in a wide range of scientific fields, and they have become particularly crucial today because of their ability to analyze COVID-19- related data. The main objective of this ...
Unsupervised classification of children’s bodies using currents
(Springer Verlag, 2018-06)
Object classification according to their shape and size is of key importance in many scientific fields. This work focuses on the case where the size and shape of an object is characterized by a current. A current is a ...
A numerical technique for applying time splitting methods in shallow water equations
(2018-06-30)
In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock ...
Dynamics of Newton-like root finding methods
(Springer, 2022)
When exploring the literature, it can be observed that the operator obtained when
applying Newton-like root finding algorithms to the quadratic polynomials z2 − c
has the same form regardless of which algorithm has been ...
Singular perturbations of Blaschke products and connectivity of Fatou components
(American Institute of Mathematical Sciences (AIMS), 2017)
The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...