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The Graduate Student’s Guide to Numerical Analysis ’98

Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis

  • Book
  • © 1999

Overview

Editors:
  1. Mark Ainsworth

    1. Department of Mathematics and Computer Science, University of Leicester, Leicester, UK

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  2. Jeremy Levesley

    1. Department of Mathematics and Computer Science, University of Leicester, Leicester, UK

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  3. Marco Marletta

    1. Department of Mathematics and Computer Science, University of Leicester, Leicester, UK

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  • The book is a presentation of hot topics in numerical analysis suitable for graduate students
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XI
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  2. A Simple Introduction to Error Estimation for Nonlinear Hyperbolic Conservation Laws

    • Bernardo Cockburn
    Pages 1-45

  3. Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra

    • Nicholas J. Higham
    Pages 47-82

  4. Numerical Analysis of Semilinear Parabolic Problems

    • Stig Larsson
    Pages 83-117

  5. Integration Schemes for Molecular Dynamics and Related Applications

    • Robert D. Skeel
    Pages 119-176

  6. Numerical Methods for Bifurcation Problems

    • Alastair Spence, Ivan G. Graham
    Pages 177-216

  7. Spectra and Pseudospectra

    • Lloyd N. Trefethen
    Pages 217-250

  8. Back Matter

    Pages 251-252
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Keywords

About this book

The Eighth EPSRC Numerical Analysis Summer School was held at the Uni­ versity of Leicester from the 5th to the 17th of July, 1998. This was the third Numerical Analysis Summer School to be held in Leicester. The previous meetings, in 1992 and 1994, had been carefully structured to ensure that each week had a coherent 'theme'. For the 1998 meeting, in order to widen the audience, we decided to relax this constraint. Speakers were chosen to cover what may appear, at first sight, to be quite diverse areas of numeri­ cal analysis. However, we were pleased with the extent to which the ideas cohered, and particularly enjoyed the discussions which arose from differing interpretations of those ideas. We would like to thank all six of our main speakers for the care which they took in the preparation and delivery of their lectures. In this volume we present their lecture notes in alphabetical rather than chronological order. Nick Higham, Alastair Spence and Nick Trefethen were the speakers in week 1, while Bernardo Cockburn, Stig Larsson and Bob Skeel were the speakers in week 2. Another new feature of this meeting compared to its predecessors was that we had 'invited seminars'. A numer of established academics based in the UK were asked to participate in the afternoon seminar program.

Editors and Affiliations

  • Department of Mathematics and Computer Science, University of Leicester, Leicester, UK

    Mark Ainsworth, Jeremy Levesley, Marco Marletta

Bibliographic Information

  • Book Title: The Graduate Student’s Guide to Numerical Analysis ’98

  • Book Subtitle: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis

  • Editors: Mark Ainsworth, Jeremy Levesley, Marco Marletta

  • Series Title: Springer Series in Computational Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-03972-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-65752-1Published: 22 June 1999

  • Softcover ISBN: 978-3-642-08503-1Published: 01 December 2010

  • eBook ISBN: 978-3-662-03972-4Published: 06 December 2012

  • Series ISSN: 0179-3632

  • Series E-ISSN: 2198-3712

  • Edition Number: 1

  • Number of Pages: XI, 252

  • Number of Illustrations: 22 b/w illustrations

  • Topics: Numerical Analysis, Analysis

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