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Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations by Emmanuel Frenod
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations by Emmanuel Frenod
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Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations

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Description

This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.  

Author Biography:

Emmanuel Frénod is Professor of Applied Mathematics at Université Bretagne Sud.
Release date NZ
October 6th, 2017
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Edition
1st ed. 2017
Illustrations
9 Illustrations, color; 9 Illustrations, black and white; XI, 126 p. 18 illus., 9 illus. in color.
Pages
126
ISBN-13
9783319646671
Product ID
26863169

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