On the Marangoni flow on an inclined plane6 years agoAbstractWe 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 method6 years agoAbstract 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 sequences6 years agoThis 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)”6 years agoAbstractWe 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 flow6 years agoAbstractThe 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 rest6 years agoAbstractWe 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 problem6 years agoAbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
Application of the Jacobi-Davidson method to accurate analysis of singular linear hydrodynamic stability problems6 years agoAbstractThe 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 Irreversibility6 years agoAbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov …