## 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…

Book summaryNumerical analysis for partial differential equations (PDEs) traditionally considers problems that are well-posed in the continuum, for example the…

AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices…

AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…

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…

AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…

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

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

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

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

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…