Controlling numerical diffusion in solving advection-dominated transport problems
Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…
2024
A Stancu type extension of the Cheney-Sharma Chlodovsky operators
Abstract In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented…
A Mutual Control Problem for Semilinear Systems via Fixed Point Approach
Abstract In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a…
Localization of energies in Navier–Stokes models with reaction terms
Abstract We analyze a general class of coupled systems of stationary Navier-Stokes type equations with variable coefficients and non-homogeneous terms…
Vector fixed point approach to control of Kolmogorov differential systems
Abstract The paper presents a vector approach to control problems for systems of equations. The method is described in the…
Optimal approximation of unique continuation
Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…
Estimates related to the iterates of positive linear operators and their multidimensional analogues
Abstract The starting point of this paper is the construction of a general family \(\left( L_{n}\right) _{n\geq 1}\) of positive…
Properties of positive linear operators connected with squared fundamental functions
Abstract The aim of this article is to present a general class of positive linear operators of discrete type related…
Theory and computation of radial solutions for Neumann problems with φ-Laplacian
Abstract The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for…
Testing Weyl geometric gravity with the SPARC galactic rotation curves database
Abstract We present a detailed investigation of the properties of the galactic rotation curves in the Weyl geometric gravity model, in which…