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  • © 2012

Numerical Analysis of Multiscale Problems

  • 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.

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-x
  2. Multiscale Modelling and Inverse Problems

    • James Nolen, Grigorios A. Pavliotis, Andrew M. Stuart
    Pages 1-34
  3. A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods

    • Brian Van Koten, Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
    Pages 67-96
  4. Fast Algorithms for High Frequency Wave Propagation

    • Björn Engquist, Lexing Ying
    Pages 127-161
  5. Sparse Tensor Approximation of Parametric Eigenvalue Problems

    • Roman Andreev, Christoph Schwab
    Pages 203-241
  6. On Stability of Discretizations of the Helmholtz Equation

    • 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.

Editors and Affiliations

  • , Department of Mathematical Sciences, University of Bath, Bath, United Kingdom

    Ivan G. Graham, Robert Scheichl

  • , Applied & Computational Mathematics, California Institute of Technology, Pasadena, USA

    Thomas Y. Hou

  • , Department of Mathematics, University of Sussex, Brighton, United Kingdom

    Omar Lakkis

About the editors

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.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access