On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators
Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…
2021
On the Controllability of a System Modeling Cell Dynamics Related to Leukemia
AbstractIn this paper, two control problems for a symmetric model of cell dynamics related to leukemia are considered. The first…
Global Random Walk Solutions for Flow and Transport in Porous Media
AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…
On a Volterra Integral Equation with Delay, via w-Distances
AbstractThe paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for…
Academic Days of Cluj-Napoca 2021 – opening ceremony
The Opening Ceremony of the Academic Days of Cluj-Napoca 2021 will hold on October 7, 2021, 11 o’clock. More info…
Unique continuation problems and stabilised finite element methods
Book summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…
Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media
AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices…
Functional differential equations with maxima, via step by step contraction principle
AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…
How many steps still left to x*?
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Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac…
Kantorovich type operators associated with Jain-Markov operators
AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…