Advanced Topics in Computational Partial Differential Equations

Numerical Methods and Diffpack Programming

  • Hans Petter Langtangen
  • Aslak Tveito

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 33)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. X. Cai, E. Acklam, H. P. Langtangen, A. Tveito
    Pages 1-55
  3. K.-A. Mardal, G. W. Zumbusch, H. P. Langtangen
    Pages 97-151
  4. K.-A. Mardal, H. P. Langtangen
    Pages 153-197
  5. K.-A. Mardal, J. Sundnes, H. P. Langtangen, A. Tveito
    Pages 199-236
  6. Å. Ødegård, H. P. Langtangen, A. Tveito
    Pages 237-256
  7. H. P. Langtangen, H. Osnes
    Pages 257-320
  8. H. P. Langtangen, K.-A. Mardal
    Pages 321-360
  9. X. Cai, A. M. Bruaset, H. P. Langtangen, G. T. Lines, K. Samuelsson, W. Shen et al.
    Pages 361-399
  10. J. Sundnes, G. T. Lines, P. Grøttum, A. Tveito
    Pages 401-449
  11. O. Skavhaug, B. F. Nielsen, A. Tveito
    Pages 451-482
  12. O. Skavhaug, B. F. Nielsen, A. Tveito
    Pages 483-506
  13. T. Thorvaldsen, H. P. Langtangen, H. Osnes
    Pages 507-576
  14. K. M. Okstad, T. Kvamsdal
    Pages 577-609
  15. A. Kjeldstad, H. P. Langtangen, J. Skogseid, K. Bjørlykke
    Pages 611-658
  16. Back Matter
    Pages 659-663

About this book

Introduction

The book is suitable for readers with a background in basic finite element and finite difference methods for partial differential equations who wants gentle introductions to advanced topics like parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to *compute* solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment, so to take advantage of these examples some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through discretization methods, algorithms, software design, verification, and computational examples.

Keywords

Boundary value problem finite element method finite element methods object-oriented programming parallel computing partial differential equation partial differential equations

Editors and affiliations

  • Hans Petter Langtangen
    • 1
  • Aslak Tveito
    • 1
  1. 1.Simula Research LaboratoryLysaker, FornebuNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18237-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-01438-6
  • Online ISBN 978-3-642-18237-2
  • Series Print ISSN 1439-7358
  • About this book