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. Authors Tiberiu 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
Abstract We consider the flow of a uniform thin layer (rivulet, trickle) of viscous fluid down an inclined plane driven…
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
Abstract Twenty years after the classical book of Ortega and Rheinboldt was published, five definitions for the \(Q\)-convergence orders of…
Comment on ”Numerical analysis for the effect of surfactants on a circular liquid lens (I)”
Abstract We comment on the definition of the surface tension gradient when of the surface of a liquid drop a…
FEM and/or BEM for numerical simulation of Marangoni flow
Abstract The aim of this work is the numerical study of Marangoni effect using three different methods. They are a…
Effects of surfactants on an undeformable drop initially at rest
Abstract We study the effect of some gradients of surface tension acting on the surface of a liquid drop supposed…
A modified Chebyshev-tau method for a hydrodynamic stability problem
Abstract ? Authors C.I. Gheorghiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy I. S. Pop Babes-Bolyai University, Faculty of Mathematics and…
Application of the Jacobi-Davidson method to accurate analysis of singular linear hydrodynamic stability problems
Abstract The aim of this paper is to show that the Jacobi–Davidson (JD) method is an accurate and robust method…