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Two-scale approach to oscillatory si...

Frenod, Emmanuel.

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Two-scale approach to oscillatory singularly perturbed transport equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Two-scale approach to oscillatory singularly perturbed transport equations/ by Emmanuel Frenod.
Author:	Frenod, Emmanuel.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 126 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Convergence. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-64668-8
ISBN:	9783319646688

Two-scale approach to oscillatory singularly perturbed transport equations
Frenod, Emmanuel.

Two-scale approach to oscillatory singularly perturbed transport equations[electronic resource] /by Emmanuel Frenod. - Cham :Springer International Publishing :2017. - xi, 126 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21900075-8434 ;. - Lecture notes in mathematics ;2190..

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.

ISBN: 9783319646688

Standard No.: 10.1007/978-3-319-64668-8doiSubjects--Topical Terms:

589031
Convergence.

LC Class. No.: QA295

Dewey Class. No.: 515.24

Two-scale approach to oscillatory singularly perturbed transport equations
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520 $a 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.
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