On the behavior of a thin liquid layer flowing due to gravity and a surface tension gradient
AbstractA thin liquid layer flowing due to gravity and a surface tension gradient is taken into account. On the liquid/gas…
Numerical Analysis
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…
On the bifurcation of the null solutions of some mildly nonlinear elliptic boundary value problems
Abstract Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem: \begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \…
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…
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. AuthorsTiberiu Popoviciu (Institutul…
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…
A survey on the high convergence orders and computational convergence orders of sequences
This is the first paper which surveys the rigorous definitions and relations of convergence orders (the Q-orders; the C-orders; the…
Comment on ”Numerical analysis for the effect of surfactants on a circular liquid lens (I)”
AbstractWe comment on the definition of the surface tension gradient when of the surface of a liquid drop a surfactant…