On the Marangoni and gravity flow in an inclined channel of an arbitrary section
AbstractIn this paper we use a lubrication approximation in order to investigate the flow of a thin layer of a…
(original)
Notes on the convex functions of higher order (IX)
Abstract This is the paper where the cardinal splines are conceived for the first time for approximating functions. AuthorsTiberiu Popoviciu…
On the prolongation of convex functions of higher order
Abstract This is the paper where the B-splines on nonuniform grid are introduced and studied for the first time. The…
On the Marangoni flow on an inclined plane
AbstractWe consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven simultaneously…
On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
FEM and/or BEM for numerical simulation of Marangoni flow
AbstractThe aim of this work is the numerical study of Marangoni effect using three different methods. They are a finite…
Effects of surfactants on an undeformable drop initially at rest
AbstractWe study the effect of some gradients of surface tension acting on the surface of a liquid drop supposed undeformable…
Application of the Jacobi-Davidson method to accurate analysis of singular linear hydrodynamic stability problems
AbstractThe aim of this paper is to show that the Jacobi–Davidson (JD) method is an accurate and robust method for…
On the Misra-Prigogine-Courbage Theory of Irreversibility
AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov …
The numerical approximation to positive solution for some reaction-diffusion problems
Abstract A one-dimensional reaction-diffusion problem, with the reaction term of the form \(u^{p}\), \(p>1\) is considered. For \(p=3\), we deduce…