Solving the systems of operator equations by iterative methods
Abstract Let \(X,Y\) be two Banach spaces and \(Z=X\times Y\). We consider the system of nonlinear equations \[x=\varphi \left( x,y\right),\\…
works
On interpolation with connected polynomials
Abstract We consider a function \(f\in C^{n-1}[a,b]\) and the nodes \(a=x_{0}<x_{1}<\ldots<x_{m}=b\). Given the values \begin{align}f\left( x_{i}\right) =&u_{i}, \quad i=1,…,m \\…
Introduction to the theory of approximating the solutions of equations
Book summaryTo be completed. AuthorIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy TitleOriginal title (in Romanian) Introducere în…
Remarks on solving the systems of equations by iterative methods
Abstract In this paper we give a condition for the convergence of an iterative method of Gauss-Seidel type \[ x_i =…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…
Eminescu. Viaţa unui om singular
C. Vamoş, D. Vamoş, Eminescu. Viaţa unui om singular, Risoprint, Cluj-Napoca, 2008, 361 pp, ISBN 978-973-751-759-3 (in Romanian; English title: Eminescu. Life and…
Multiscale structure of time series revealed by the monotony spectrum
AbstractObservation of complex systems produces time series with specific dynamics at different time scales. The majority of the existing numerical…
On an Aitken type method
Abstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…