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Frontiers in Numerical Analysis

Durham 2002

  • Textbook
  • © 2003

Overview

Editors:
  1. James F. Blowey

    1. Department of Mathematical Sciences, University of Durham, Durham, UK

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  2. Alan W. Craig

    1. Department of Mathematical Sciences, University of Durham, Durham, UK

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  3. Tony Shardlow

    1. Department of Mathematics, University of Manchester, Manchester, UK

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Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Subgrid Phenomena and Numerical Schemes

    • Franco Brezzi, Donatella Marini
    Pages 1-16

  3. Stability of Saddle-Points in Finite Dimensions

    • Franco Brezzi
    Pages 17-61

  4. Mean Curvature Flow and Related Topics

    • Klaus Deckelnick, Gerhard Dziuk
    Pages 63-108

  5. An Introduction to Algorithms for Nonlinear Optimization

    • Nicholas I. M. Gould, Sven Leyffer
    Pages 109-197

  6. GniCodes — Matlab Programs for Geometric Numerical Integration

    • Ernst Hairer, Martin Hairer
    Pages 199-240

  7. Numerical Approximations to Multiscale Solutions in Partial Differential Equations

    • Thomas Y. Hou
    Pages 241-301

  8. Numerical Methods for Eigenvalue and Control Problems

    • Volker Mehrmann
    Pages 303-349

  9. Back Matter

    Pages 351-353
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Keywords

About this book

The Tenth LMS-EPSRC Numerical Analysis Summer School was held at the University of Durham, UK, from the 7th to the 19th of July 2002. This was the second of these schools to be held in Durham, having previously been hosted by the University of Lancaster and the University of Leicester. The purpose of the summer school was to present high quality instructional courses on topics at the forefront of numerical analysis research to postgraduate students. The speakers were Franco Brezzi, Gerd Dziuk, Nick Gould, Ernst Hairer, Tom Hou and Volker Mehrmann. This volume presents written contributions from all six speakers which are more comprehensive versions of the high quality lecture notes which were distributed to participants during the meeting. At the time of writing it is now more than two years since we first contacted the guest speakers and during that period they have given significant portions of their time to making the summer school, and this volume, a success. We would like to thank all six of them for the care which they took in the preparation and delivery of their material.

Reviews

From the reviews:

"The 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 … . most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students … and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques … ." (Zentralblatt für Didaktik der Mathematik, January, 2004)

“There are seven contributions from the six speakers arranged according to increasing degree of specification. … Each contribution presents a list of references, and advice for further investigation is included. Also, detailed proofs of the main results are given in most of the notes. Because of its high quality level, its dealing with topics of current research in the area, the book is to be recommended foe mathematicians, applied mathematicians and engineers as well as for graduates in mathematical sciences.” (Paula Bruggen, Bulletin of the Belgian Mathematical Society, Vol. 15 (1), 2008)

Editors and Affiliations

  • Department of Mathematical Sciences, University of Durham, Durham, UK

    James F. Blowey, Alan W. Craig

  • Department of Mathematics, University of Manchester, Manchester, UK

    Tony Shardlow

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