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…
paper
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…
Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media
AbstractIn this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow…
Accurate spectral collocation computations of high order eigenvalues for singular Schrödinger equations-revisited
AbstractIn this paper, we continue to solve as accurately as possible singular eigenvalues problems attached to the Schrödinger equation. We…
Accurate spectral collocation solutions to 2nd-order Sturm–Liouville problems
AbstractThis work is about the use of some classical spectral collocation methods as well as with the new software system…
Inequalities for Information Potentials and Entropies
AbstractWe consider a probability distribution \((p_0(x), p_1(x), . . .)\) depending on a real parameter \(x\). The associated information potential…
Publications
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 is based on a class of discrete operators representing a…
Read More 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 specific Strang splitting, that separates linear dissipative effects from conservative…
Read More 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 functions as fixed points. We focus to reveal approximation properties…
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