3 research outputs found
Qualitative analysis of some models of delay differential equations
This thesis concerns the study of the global dynamics of delay differential
equations of the so-called production and destruction type, which find applications to the modelling of several
phenomena in areas such as population growth dynamics, economics, cell production, etc. For instance, by
applying tools coming from discrete dynamics, we provide sufficient conditions for the existence of globally
attracting equilibria for families of scalar or multidimensional equations. Moreover, we extend some known results in
the scalar non-autonomous case by the use of integral inequalities. Finally, the existence of periodic solutions is
analysed in the general context of infinite delay, impulses and periodic coefficients
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described
Generalized averaged Gaussian quadrature and applications
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal