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Lecture Notes in Mathematics

Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations

Authors: Frénod, Emmanuel

  • Provides a very affordable approach to the homogenization theory 
  • Gives a complete vision - from theory to numerics - of consequences of strong oscillations in transport phenomena     Contains several applications from environment questions to Iter plasmas
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eBook 29,74 €
price for Spain (gross)
  • ISBN 978-3-319-64668-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 36,39 €
price for Spain (gross)
  • ISBN 978-3-319-64667-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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 the authors

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

Table of contents (6 chapters)

  • Introduction

    Frénod, Emmanuel

    Pages 3-19

    Preview Buy Chapter 30,19 €
  • Two-Scale Convergence: Definition and Results

    Frénod, Emmanuel

    Pages 21-33

    Preview Buy Chapter 30,19 €
  • Applications

    Frénod, Emmanuel

    Pages 35-87

    Preview Buy Chapter 30,19 €
  • Introduction

    Frénod, Emmanuel

    Pages 91-91

    Preview Buy Chapter 30,19 €
  • Two-Scale Numerical Method for the Long-Term Forecast of the Drift of Objects in an Ocean with Tide and Wind

    Frénod, Emmanuel

    Pages 93-107

    Preview Buy Chapter 30,19 €

Buy this book

eBook 29,74 €
price for Spain (gross)
  • ISBN 978-3-319-64668-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 36,39 €
price for Spain (gross)
  • ISBN 978-3-319-64667-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2190
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-64668-8
DOI
10.1007/978-3-319-64668-8
Softcover ISBN
978-3-319-64667-1
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XI, 126
Number of Illustrations and Tables
9 b/w illustrations, 9 illustrations in colour
Topics