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The Graduate Student’s Guide to Numerical Analysis ’98

Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis

  • Mark Ainsworth
  • Jeremy Levesley
  • Marco Marletta

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 26)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Alastair Spence, Ivan G. Graham
    Pages 177-216
  3. Lloyd N. Trefethen
    Pages 217-250
  4. Back Matter
    Pages 251-252

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. Recent graduates in mathematical sciences who are considering the possibility of a pursuing research towards a PhD in applied mathematics or numerical analysis should also find this book a very valuable guide.

Keywords

Approximation Eigenvalue Implicit function algorithms bifurction calculus differential equation linear algebra molecular dynamics numerical analysis numerical methods pseudospectra time-dependent partial differential equations

Editors and affiliations

  • Mark Ainsworth
    • 1
  • Jeremy Levesley
    • 1
  • Marco Marletta
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of LeicesterLeicesterUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03972-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08503-1
  • Online ISBN 978-3-662-03972-4
  • Series Print ISSN 0179-3632
  • Buy this book on publisher's site
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