Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations: 2190 (Lecture Notes in Mathematics, 2190) - Softcover

Frénod, Emmanuel

Softcover

ISBN 10: 3319646672 ISBN 13: 9783319646671

Publisher: Springer, 2017

Synopsis

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.

 

About this title

About the Author

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

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2017
• Language: English
• ISBN 10: 3319646672
• ISBN 13: 9783319646671
• Binding: Paperback
• Edition number: 1
• Number of pages: 137