On a generalization of the Gauss formula for numerical integration
Abstract ? AuthorsTiberiu Popoviciu (Institutul de Calcul) Original title (in Romanian)T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică…
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Univariate Shepard operators combined with least squares fitting polynomials
Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…
A solvable version of the inverse problem of dynamics
Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)
Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…
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…
Inverse interpolating splines with applications to the equation solving
Abstract AuthorsCrăciun Iancu Tiberiu Popoviciu Institute of Numerical Analysis Romania Academy, Cluj-Napoca, Romania Tiberiu Oproiu Romanian Academy Astronomical Observatory Ion…