Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

Singular perturbation problems are discussed in this text, with a focus on the construction and analysis of numerical methods on layer-adapted meshes. Classifications and surveys of layer-adapted meshes are included, for a variety of boundary-value problems.

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Bibliographic Details
Published inLecture notes in mathematics Vol. 1985
Main Author Linss, Torsten
Format eBook Book
LanguageEnglish
Published Berlin, Heidelberg Springer Nature 2009
Springer
Springer Berlin / Heidelberg
Springer Berlin Heidelberg
Edition1
SeriesLecture Notes in Mathematics
Subjects
Exact sciences and technology
Finite volume method
General mathematics
General, history and biography
Mathematics
Mathematics and Statistics
Numerical Analysis
Ordinary Differential Equations
Partial Differential Equations
Reaction-diffusion equations
Reaction-diffusion equations > Numerical solutions
Sciences and techniques of general use
Singular perturbations (Mathematics)
Mathematics
Online AccessGet full text
ISBN9783642051340
3642051340
9783642051333
3642051332
ISSN0075-8434
1617-9692
DOI10.1007/978-3-642-05134-0

Cover

Table of Contents:
  • Intro -- Preface -- Contents -- Notation -- Introduction -- Layer-Adapted Meshes -- The Analytical Behaviour of Solutions -- Finite Difference Schemes for Convection- Diffusion Problems -- Finite Element and Finite Volume Methods -- Discretisations of Reaction-Convection-Diffusion Problems -- The Analytical Behaviour of Solutions -- Reaction-Diffusion Problems -- Convection-Diffusion Problems -- Conclusions and Outlook -- References -- Index -- Lecture Notes in Mathematics