General Mathematics (textbook)
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:C.I.…
Posts by Călin-Ioan Gheorghiu
Spectral collocation solutions to a class of pseudo-parabolic equations
AbstractIn this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line.…
Analytic vs. numerical solutions to a Sturm-Liouville transmission eigenproblem
AbstractAn elliptic one-dimensional second order boundary value problem involving discontinuous coefficients, with or without transmission conditions, is considered. For the…
On the accuracy of pseudospectral differentiation
AbstractFor various grids on a finite interval we measure the accurarcy of pseudospectral (collocation) differentiation matrices using two parameters. The…
Marangoni and gravity flows in thin liquid layers
AbstractThe paper presents a comparison between the experimental and caculated data for the Marangoni-type flow, in competition with the gravity…
Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section
AbstractThe numerical calculation method of the “simplex” finite elemente is applied to the Marangoni flow undergone by the surfactant solutions,…
Accurate spectral solutions to a phase-field transition system
AbstractThe paper is mainly concerned with numerical approximation of solutions to the phase-field transition system (Caginalp’s model), subject to the…
Surface mobility of surfactant solutions XII. Remarks concerning the Marangoni flow through an inclined surface canal
AbstractThe Marangoni flow of an incompressible viscous fluid through an inclined canal having triangular section and a free liquid/gas surface…
A Chebyshev-Galerkin method for fourth order problems
AbstractWe study the linear stability of some Marangoni flows (thin films) on an inclined plane. The Orr-Sommerfeld eigenproblem contains two…
Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line
AbstractWe make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results of…