The strict superlinear order can be faster than the infinite order
Abstract The strict superlinear order (superlinear convergence) was usually regarded as having an intermediate speed between between linear and with…
Numerical Analysis
Solving ill-posed Helmholtz problems with physics-informed neural networks
Abstract We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on…
Approximation by spline functions of the solutions of a linear bilocal problem
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Approximation by spline functions of…
The approximation by spline functions of the solutions of a singularly perturbed bilocal problem
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania Adrian Muresan “Tiberiu Popoviciu” Institute of Numerical Analysis,…
A Galerkin Methods for a singularly perturbed bilocal problem
Abstract A bilocal singularly perturbed problem is solved using Galerkin’s method in a space in which the test functions are…
On a problem of B.A. Karpilovskaya
Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, On a problem of B.A.…
The approximation by spline functions of the solution of a polylocal problem for a differential equation of order p
Abstract AuthorsCostică Mustăţa Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesC. Mustăţa, The approximation by spline functions of…
Application of divided differences to the study of monotonicity of a sequence of D.D. Stancu polynomials
Abstract The paper is centered on the study of a class of linear positive operators of discrete type introduced in…
On the monotonicity of a sequence of Stancu-Bernstein type operators
Abstract One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending…
An application of divided differences
Abstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…