# 2021

## 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*?

Abstract The high speed of $$x_{k}\rightarrow x^\ast\in{\mathbb R}$$ is usually measured using the C-, Q- or R-orders: \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…

## Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems

AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a…

## Approximation of some classes of functions by Landau type operators

Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…

## On Landau-type approximation operators

AbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…

## Approximation properties of a family of integral type operators

AbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…

## Ulam stability of a linear difference equation in locally convex spaces

Abstract We obtain a characterization of Ulam stability for the linear difference equation with constant coefficients $$x_{n+p}=a_₁x_{n+p-1}+…+a_{p}x_{n}$$ in locally convex…