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Lecture Notes in Computational Science and Engineering

Numerical Analysis of Multiscale Problems

Editors: Graham, I.G., Hou, T., Lakkis, O., Scheichl, R. (Eds.)

  • Multiscale Methods is one of the most active areas in computational science.
  • This book is a multi-disciplinary textbook on these methods. Complements nicely the previous volume on Multiscale Methods,  LNCSE 44.
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About this Textbook

The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multi-phase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current state-of-the-art in the numerical  analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields.

About the authors

Ivan Graham is Professor of Numerical analysis at the University of Bath. Thomas Hou is Charles Lee Powell Professor of Applied and Computational Mathematics at California Institute of Technology. Omar Lakkis is Senior lecturer in Mathematics at the University of Sussex. Robert Scheichl is Senior Lecturer in Mathematics at the University of Bath.

Table of contents (10 chapters)

  • Multiscale Modelling and Inverse Problems

    Nolen, James (et al.)

    Pages 1-34

  • Transported Probability and Mass Density Function (PDF/MDF) Methods for Uncertainty Assessment and Multi-Scale Problems

    Jenny, Patrick (et al.)

    Pages 35-65

  • A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods

    Koten, Brian (et al.)

    Pages 67-96

  • Coarse-Grid Multiscale Model Reduction Techniques for Flows in Heterogeneous Media and Applications

    Efendiev, Yalchin (et al.)

    Pages 97-125

  • Fast Algorithms for High Frequency Wave Propagation

    Engquist, Björn (et al.)

    Pages 127-161

Buy this book

eBook $49.99
price for USA (gross)
  • ISBN 978-3-642-22061-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA
  • ISBN 978-3-642-22060-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.95
price for USA
  • ISBN 978-3-642-43124-1
  • 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 Problems
Editors
  • Ivan G. Graham
  • Tom Hou
  • Omar Lakkis
  • Robert Scheichl
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
83
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-22061-6
DOI
10.1007/978-3-642-22061-6
Hardcover ISBN
978-3-642-22060-9
Softcover ISBN
978-3-642-43124-1
Series ISSN
1439-7358
Edition Number
1
Number of Pages
X, 374
Topics