Lecture Notes in Mathematics

Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations

Authors: Frénod, Emmanuel

Free Preview
  • 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
Show all benefits

Buy this book

eBook $39.99
price for USA in USD
  • 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 $49.99
price for USA in USD
  • ISBN 978-3-319-64667-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

Reviews

“This is a good research monograph for people working on theoretical and numerical aspects of oscillatory singularly perturbed differential equations. The book is well-written with several examples from various applications. This book provides the complete picture of two-scale convergence approach for homogenization problems and the numerical approach. This monograph is excellent and well-written. This book will be very useful for mathematicians and engineers working on multiscale problems.” (Srinivasan Natesan, zbMATH 1383.65084, 2018)

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $39.99
price for USA in USD
  • 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 $49.99
price for USA in USD
  • ISBN 978-3-319-64667-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Loading...

Recommended for you

Loading...

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
9 b/w illustrations, 9 illustrations in colour
Topics