Numerical Methods for Singularly Perturbed Differential Equations

Convection-Diffusion and Flow Problems

  • Hans-Görg Roos
  • Martin Stynes
  • Lutz Tobiska

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 24)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Hans-Görg Roos, Martin Stynes, Lutz Tobiska
    Pages 1-103
  3. Hans-Görg Roos, Martin Stynes, Lutz Tobiska
    Pages 105-171
  4. Hans-Görg Roos, Martin Stynes, Lutz Tobiska
    Pages 173-278
  5. Hans-Görg Roos, Martin Stynes, Lutz Tobiska
    Pages 279-320
  6. Back Matter
    Pages 321-351

About this book

Introduction

This book collects, explains and analyses basic methods and recent results for the successful numerical solution of singularly perturbed differential equations. Such equations model many physical phenomena and their solutions are characterized by the presence of layers. The book is a wide-ranging introduction to the exciting current literature in this area. It concentrates on linear convection-diffusion equations and related nonlinear flow problems, encompassing both ordinary and partial differential equations. While many numerical methods are considered, particular attention is paid to those with realistic error estimates. The book provides a solid and thorough foundation for the numerical analysis and solution of singular perturbation problems.

Keywords

Boundary value problem Grenzschichten Navier-Stokes-Gleichungen Navier-stokes equations Singular perturbation Singuläre Störungen convection-diffusion differential equation finite element method model numerical analysis numerical methods numerische Methoden ordinary differential equation partial differential equation

Authors and affiliations

  • Hans-Görg Roos
    • 1
  • Martin Stynes
    • 2
  • Lutz Tobiska
    • 3
  1. 1.Institut für Numerische MathematikTechnische Universität DresdenDresdenGermany
  2. 2.Department of MathematicsUniversity College CorkCorkIreland
  3. 3.Institut für Analysis und NumerikOtto-von-Guericke Universität MagdeburgMagdeburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03206-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-03208-4
  • Online ISBN 978-3-662-03206-0
  • Series Print ISSN 0179-3632
  • About this book