Existence theorems for nonlinear problems by continuation methods
Abstract Continuation methods of Leray-Schauder type represent an important tool in the theory of differential and integral equations. Roughly speaking,…
1997
Numerical modelling of the one-dimensional diffusion by random walkers
AbstractIn this paper we describe a numerical method of cellular automaton type to study the diffusion processes. The macroscopic diffusive…
Surface mobility of surfactant solutions XVII. Determination of Marangoni rate of flow in simulated zero gravity conditions
AbstractValues of the Marangoni rates of flow experimentally determined for a thin liquid pellicle found in inclined canals have been…
Hydrodynamic equations for one-dimensional systems of inelastic particles
AbstractUsing a different method, the balance equations of mass, momentum, and kinetic energy are derived for an arbitrary one-dimensional system…
On the convergence order of the multistep methods
Abstract We analyze in a unitary way the iterative methods for solving scalar equations, which are of inverse interpolation form.…
Optimal efficiency indexes for iterative methods of interpolatory type
Abstract The paper is concerned with the order of convergence and the efficiency index of iterative methods of interpolatory type…
On the Heron’s method for approximating the cubic root of a real number
Abstract (soon) AuthorsDan Luca Tiberiu Popoviciu Institute of Numerical Analysis Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis KeywordsPDFScanned paper:…
On approximating the eigenvalues and eigenvectors of linear continuous operators
Abstract We consider the computing of an eigenpair (an eigenvector \(v=(v^{(i)})_{i=1,n}\) and an eigenvalue \(\lambda\)) of a matrix \(A\in\mathbb{R}^{n\times n}\), by…
On an approximation formula
Abstract We generalize an approximation formula which in some particular cases has been studied by [J.F. Traub 1964] and \…