Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations (Paperback)

Emmanuel Frenod

ISBN 10: 3319646672 / ISBN 13: 9783319646671

Editore: Springer International Publishing AG, Cham, 2017

Paperback. 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 masters and PhD students interested in homogenization and numerics, as well as to the Iter community. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9783319646671

Riassunto:

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.

Informazioni sull?autore: Emmanuel Frénod is Professor of Applied Mathematics at Université Bretagne Sud.

Dati bibliografici

Titolo: Two-Scale Approach to Oscillatory Singularly...
Casa editrice: Springer International Publishing AG, Cham
Data di pubblicazione: 2017
Legatura: Paperback
Condizione: new
Edizione: prima edizione