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© 2003

Frontiers in Numerical Analysis

Durham 2002

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

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

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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)