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Frontiers in Numerical Analysis

Durham 2002

  • James F. Blowey
  • Alan W. Craig
  • Tony Shardlow

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Franco Brezzi, Donatella Marini
    Pages 1-16
  3. Klaus Deckelnick, Gerhard Dziuk
    Pages 63-108
  4. Nicholas I. M. Gould, Sven Leyffer
    Pages 109-197
  5. Ernst Hairer, Martin Hairer
    Pages 199-240
  6. Back Matter
    Pages 351-353

About this book

Introduction

This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences.

Keywords

MATLAB Numerical integration calculus control problems eigenvalue problems finite element approximation finite element method mean curvature flow multiscale solutions numerical analysis optimization symplectic integration

Editors and affiliations

  • James F. Blowey
    • 1
  • Alan W. Craig
    • 1
  • Tony Shardlow
    • 2
  1. 1.Department of Mathematical SciencesUniversity of DurhamDurhamUK
  2. 2.Department of MathematicsUniversity of ManchesterManchesterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-55692-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-44319-3
  • Online ISBN 978-3-642-55692-0
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site
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