Systèmes multi-èchelles: Modélisation et simulation (Mathématiques et Applications) (French Edition)

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9783540253136: Systèmes multi-èchelles: Modélisation et simulation (Mathématiques et Applications) (French Edition)

Systèmes multi-échelles est une introduction à la problématique des systémes multi-échelles du point de vue du mathématicien appliqué. Il se compose d'une mosaique d'exemples de problèmes issus de la physique au sens large qui présentent pour leur modélisation et leur simulation cette difficulté essentielle de comporter en leur sein des échelles de temps ou d'espace très différentes.

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Systèmes multi-échelles est une introduction à la problématique des systémes multi-échelles du point de vue du mathématicien appliqué. Il se compose d'une mosaique d'exemples dont le seul lien est d'appartenir à la très grande famille des problèmes issus de la physique au sens large qui présentent pour leur modélisation et leur simulation cette difficulté essentielle de comporter en leur sein des échelles de temps ou d'espace très différentes.

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"This book results from a course on multiscale models given by the author. It provides an interesting introduction to the topic focusing on conceptual aspects ... . As intended the material could be an excellent basis for a special topics course in an applied math or computational science curriculum." (Martin Burger, Mathematical Reviews, Issue, 2007 g)

"This book is a course which introduces the reader into the problematics of multi-scale systems from the point of view of applied mathematics. ... The theme of the course is presented through several examples, most of them coming from the mechanics of solids, from physics, chemistry ... . The course contains six chapters, each accompanied by a specific selective bibiliography. At the end of the book a complete list of references is given, containing 49 authors, the quotes being from after 1990." (Lidia Elena Kozma, Zentralblatt MATH, Vol. 1109 (11), 2007)

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