Systèmes multi-èchelles - Modélisation et simulation

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.

Summary

Systémes multi-échelles
 is an introduction to the modelling and the simulation of multiscale problems, which are now ubiquitous in many fields of scientific computing: materials science, fluid mechanics, molecular simulation, chemical engineering,... The standard techniques, such as homogeneization techniques, are presented, along with the most recent and advanced ones, such as the micromacro modelling of non-newtonian fluids. Mathematical objects and theories as diverse as partial differential equations, stochastic differential equations, calculus of variations, are introduced and manipulated

Product details

• Authors: Claude Le Bris
• Publisher: Springer EN
• Languages: French
• Product format: Paperback / Softback
• Released: 30.06.2005
• EAN: 9783540253136
• ISBN: 978-3-540-25313-6
• No. of pages: 214
• Weight: 730 g
• Illustrations: XII, 214 p. 35 ill., schwarz-weiss Illustrationen
• Series: Mathématiques et Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Optimization, Mathematics and Statistics, Classical mechanics, Classical and Continuum Physics, Probability Theory and Stochastic Processes, Condensed Matter Physics, Condensed matter, Materials / States of matter, Continuum physics, Probability & statistics, Numerical analysis, Partial Differential Equations, Differential equations, Probabilities, Stochastics, Probability Theory, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization