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Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations (Lecture Notes in Mathematics) - Tapa blanda

Frénod, Emmanuel

 
9783319646671: Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations (Lecture Notes in Mathematics)
Tapa blanda
ISBN 10: 3319646672 ISBN 13: 9783319646671
Editorial: Springer, 2017

Sinopsis

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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Acerca del autor

Emmanuel Frénod is Professor of Applied Mathematics at Université Bretagne Sud.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2017
Idioma
Inglés
ISBN 10 
3319646672
ISBN 13 
9783319646671
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
140
Contacto del fabricante
no disponible
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