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Theory and Numerics of Differential Equations

Durham 2000

  • James F. Blowey
  • John P. Coleman
  • Alan W. Craig

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-X
  2. Christine Bernardi, Yvon Maday
    Pages 1-57
  3. Carsten Carstensen
    Pages 59-126
  4. S. Cyganowski, L. Grüne, P. E. Kloeden
    Pages 127-177
  5. Ralf Kornhuber
    Pages 179-229
  6. Kyoung-Sook Moon, Anders Szepessy, Raúl Tempone, Georgios Zouraris
    Pages 231-280
  7. Back Matter
    Pages 281-282

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

calculus differential equation microstructrue multigrid numerical analysis numerics partial differential equation spectral and high order methods stochastic and hyperbolic partial differential equations

Editors and affiliations

  • James F. Blowey
    • 1
  • John P. Coleman
    • 1
  • Alan W. Craig
    • 1
  1. 1.Department of Mathematical Sciences Science LaboratoriesUniversity of DurhamDurhamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04354-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07533-9
  • Online ISBN 978-3-662-04354-7
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site