-widths for singularly perturbed problems
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Stynes, Martin, Kellogg, R. Bruce (2002)
Proceedings of Equadiff 10
Marino Zennaro (1988)
Numerische Mathematik
Truong Nguyen-Ba, Vladan Božić, Emmanuel Kengne, Rémi Vaillancourt (2009)
Publications de l'Institut Mathématique
Dimitrov, Dobromir T., Kojouharov, Hristo V. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Bernhard Schmitt (1983)
Numerische Mathematik
Frédérique Laurent (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
The purpose of this article is the analysis and the development of Eulerian multi-fluid models to describe the evolution of the mass density of evaporating liquid sprays. First, the classical multi-fluid model developed in [Laurent and Massot, Combust. Theor. Model.5 (2001) 537–572] is analyzed in the framework of an unsteady configuration without dynamical nor heating effects, where the evaporation process is isolated, since it is a key issue. The classical multi-fluid method consists then in...
Natalija Tumanova, Raimondas Čiegis, Mečislavas Meilūnas (2013)
Open Mathematics
This paper presents a mathematical model for photo-excited carrier decay in a semiconductor. Due to the carrier trapping states and recombination centers in the bandgap, the carrier decay process is defined by the system of nonlinear differential equations. The system of nonlinear ordinary differential equations is approximated by linearized backward Euler scheme. Some a priori estimates of the discrete solution are obtained and the convergence of the linearized backward Euler method is proved....
Aline Lefebvre (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We propose here a model and a numerical scheme to compute the motion of rigid particles interacting through the lubrication force. In the case of a particle approaching a plane, we propose an algorithm and prove its convergence towards the solutions to the gluey particle model described in [B. Maury, ESAIM: Proceedings 18 (2007) 133–142]. We propose a multi-particle version of this gluey model which is based on the projection of the velocities onto a set of admissible velocities. Then, we describe...
Aline Lefebvre (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
We propose here a model and a numerical scheme to compute the motion of rigid particles interacting through the lubrication force. In the case of a particle approaching a plane, we propose an algorithm and prove its convergence towards the solutions to the gluey particle model described in [B. Maury, ESAIM: Proceedings18 (2007) 133–142]. We propose a multi-particle version of this gluey model which is based on the projection of the velocities onto a set of admissible velocities. Then, we describe...
Nikolis, Athanassios (2004)
Applied Mathematics E-Notes [electronic only]
Peter Albrecht (1985)
Numerische Mathematik
Ivo Babuška (1965)
Aplikace matematiky
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