Lecture Notes in Computational Science and Engineering

Numerical Analysis of Multiscale Computations

Proceedings of a Winter Workshop at the Banff International Research Station 2009

Editors: Engquist, Björn, Runborg, Olof, Tsai, Yen-Hsi R. (Eds.)

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About this book

This book is a snapshot of current research in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, and fast multipole method.

About the authors

The authors are experts in computational science and engineering with backgrounds in mathematics, computer science and engineering.

Table of contents (16 chapters)

  • Explicit Methods for Stiff Stochastic Differential Equations

    Abdulle, Assyr

    Pages 1-22

  • Oscillatory Systems with Three Separated Time Scales: Analysis and Computation

    Ariel, Gil (et al.)

    Pages 23-45

  • Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables

    Blanc, Xavier (et al.)

    Pages 47-70

  • A Stroboscopic Numerical Method for Highly Oscillatory Problems

    Calvo, Mari Paz (et al.)

    Pages 71-85

  • The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint

    Cancès, Éric (et al.)

    Pages 87-125

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-21943-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-642-21942-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
price for USA
  • ISBN 978-3-642-26970-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Analysis of Multiscale Computations
Book Subtitle
Proceedings of a Winter Workshop at the Banff International Research Station 2009
Editors
  • Björn Engquist
  • Olof Runborg
  • Yen-Hsi R. Tsai
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
82
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-21943-6
DOI
10.1007/978-3-642-21943-6
Hardcover ISBN
978-3-642-21942-9
Softcover ISBN
978-3-642-26970-7
Series ISSN
1439-7358
Edition Number
1
Number of Pages
X, 430
Topics