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Two-scale approach to oscillatory si...

Frenod, Emmanuel.

Two-scale approach to oscillatory singularly perturbed transport equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Two-scale approach to oscillatory singularly perturbed transport equations/ by Emmanuel Frenod.
作者:	Frenod, Emmanuel.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xi, 126 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Convergence. -
電子資源:	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 ;1943..

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:

527850
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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