Some relations between the microscopic and the macroscopic modelling of thermodynamical processes
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:N.…
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.…
Approximation operators constructed by means of Sheffer sequences
Abstract In this paper we introduce a class of positive linear operators by using the “umbral calculus”, and we study…
Path decomposition of discrete effective diffusion coefficient
AbstractAuthorsC. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy N. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…
On the flow of a viscous thin layer on an inclined solid plane driven by a constant surface tension gradient
AbstractSteady flow of a thin layer (trickle, rivulet) of viscous fluid down an inclined surface is considered, via a thin-film…
Global Random Walk simulations of diffusion
AbstractRandom walk methods are suitable to build up convergent solutions for reaction-diffusion problems and were successfully applied to simulations of transport…
Inexact perturbed Newton methods and applications to a class of Krylov solvers
Abstract Inexact Newton methods are variant of the Newton method in which each step satisfies only approximately the linear system…
On accelerating the convergence of the successive approximations method
Abstract No q-superlinear convergence to a fixed point \(x^\ast\) of a nonlinear mapping \(G\) may be attained by the successive approximations when…
A Halley-Aitken-type method for approximating the solutions of scalar equations
Abstract We are concerned with the approximation of the solution of scalar equations by Halley-Aitken method. We obtain local convergence…
On some Aitken-Steffensen-Halley-type method for approximating the roots of scalar equations
Abstract We extend the Aitken-Steffensen method to the Halley transformation. Under some rather simple assumptions we obtain error bounds for…
Publications
Numerical modeling of solidification
Book summarySummary of the book… Book coverContentsCh. 1 Keywordskeyword1, PDFpdf file Referencessee the expanding block below Cite this book as:Author, title, publisher, year. Book TitlePublisherPrint ISBNAuthorsV. Soporan, C. Vamos, C.…
Read More A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: convection-dominated regime
AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis in [Numer. Math. 144, 451–477, 2020] to the convection-dominated regime.…
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A Constructive Introduction to Finite Elements Method
Book summarySummary of the book… Book coverKeywordskeyword1, Contents1.Variational formulations 1.1. A 1D model problem 1.2. A 2D model problem (lapace eqution) 1.3. Some other boundary value problems 1.4. An eigenvalue…
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