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…
Numerical Analysis
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…
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…
A modified Chebyshev-tau method for a hydrodynamic stability problem
AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
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…