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Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media

4 years ago

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

4 years ago

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*?

4 years ago

We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…

Kantorovich type operators associated with Jain-Markov operators

4 years ago

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

4 years ago

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

4 years ago

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

4 years ago

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

4 years ago

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

4 years ago

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

4 years ago

AbstractIn this article, we present new random walk methods to solve flow and transport problems in saturated/unsaturated porous media, including coupled flow…

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