Numerical Analysis of Multiscale Problems

  • Ivan G. Graham
  • Thomas Y. Hou
  • Omar Lakkis
  • Robert Scheichl

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 83)

Table of contents

  1. Front Matter
    Pages i-x
  2. James Nolen, Grigorios A. Pavliotis, Andrew M. Stuart
    Pages 1-34
  3. Brian Van Koten, Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
    Pages 67-96
  4. Björn Engquist, Lexing Ying
    Pages 127-161
  5. Roman Andreev, Christoph Schwab
    Pages 203-241
  6. S. Esterhazy, J. M. Melenk
    Pages 285-324
  7. Back Matter
    Pages 365-371

About this book


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.


computational science multiscale problems numerical analysis

Editors and affiliations

  • Ivan G. Graham
    • 1
  • Thomas Y. Hou
    • 2
  • Omar Lakkis
    • 3
  • Robert Scheichl
    • 4
  1. 1., Department of Mathematical SciencesUniversity of BathBathUnited Kingdom
  2. 2., Applied & Computational MathematicsCalifornia Institute of TechnologyPasadenaUSA
  3. 3., Department of MathematicsUniversity of SussexBrightonUnited Kingdom
  4. 4., Department of Mathematical SciencesUniversity of BathBathUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-22060-9
  • Online ISBN 978-3-642-22061-6
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site
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