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Robert EyMard answers a
few questions about this month's fast breaking paper in the field of
Mathematics.
From
•>>June 2004
Field:
Mathematics
Article Title: Convergence of a finite volume scheme for nonlinear degenerate parabolic equations
Authors: Eymard,
R;Gallouet, T;Herbin, R;Michel, A
Journal: NUMER MATH
Volume: 92
Page: 41-82
Year: JUL 2002
* Univ Marne La vallee, Champs Sur Marne, F-77454 Marne La
Vallee, France.
* Univ Marne La vallee, F-77454 Marne La Vallee, France.
* Univ Aix Marseille 1, Ctr Math & Informat, F-13453 Marseille, France.
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 Why
do you think your paper is highly cited?
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“Simulation
of convection coupled with non-linear diffusion”
(Click
picture for a larger image)
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Thanks to the application of some powerful tools for the
mathematical analysis—as introduced by Krushkov, Di Perna, and
Carrillo—interesting results are then obtained in the field of
numerical methods which are practically used by physicists and
engineers, and therefore studied in detail by more and more
mathematicians.
Does
it describe a new discovery or a new methodology that’s useful
to others?
It presents, in a quite general framework, the use of some
tools which can be extended to a larger class of problems.
Could
you summarize the significance of your paper in layman’s terms?
The simulation of physical phenomena involves the use of
computing codes, for which suitable numerical methods are
developed, although more often by engineers than by
mathematicians. Our paper tries to enlighten the correspondence
between some practical numerical methods and the mathematical
state-of-the-art concerning the theoretical continuous
equations.
How
did you become involved in this research?
We have been concerned for some time by the study of
numerical methods arising in engineering fields, involving
multi-phase flows in porous media. This paper appears as a
natural insight into one of the significant ongoing problems.
Professor Robert Eymard
University of Marne-la-Vallee
Marne-la-Vallee, France
Professor Thierry Gallouet,
Université de Provence
Marseille, France
Professor Raphaele Herbin
Université de Provence
Marseille, France
Dr. Anthony Michel
Institut Français du Pétrole (IFP)
France
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ESI Special Topics,
June 2004
Citing URL - http://www.esi-topics.com/fbp/2004/june04-RobertEyMard.html
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