Sparse Grids and Applications

  • Jochen Garcke
  • Michael Griebel

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 88)

Table of contents

  1. Front Matter
    Pages i-x
  2. Bastian Bohn, Michael Griebel
    Pages 1-30
  3. Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Elmar Zander
    Pages 31-56
  4. Jochen Garcke
    Pages 57-80
  5. Jochen Garcke, Thomas Gerstner, Michael Griebel
    Pages 81-105
  6. Thomas Gerstner, Stefan Heinz
    Pages 107-120
  7. Helmut Harbrecht, Michael Peters, Markus Siebenmorgen
    Pages 161-179
  8. Christoph Kowitz, Dirk Pflüger, Frank Jenko, Markus Hegland
    Pages 205-222
  9. Benjamin Peherstorfer, Stefan Zimmer, Hans-Joachim Bungartz
    Pages 223-242
  10. Dirk Pflüger
    Pages 243-262
  11. Back Matter
    Pages 277-283

About these proceedings

Introduction

In the recent decade, there has been a growing interest in the numerical treatment of high-dimensional problems. It is well known that classical numerical discretization schemes fail in more than three or four dimensions due to the curse of dimensionality. The technique of sparse grids helps overcome this problem to some extent under suitable regularity assumptions. This discretization approach is obtained from a multi-scale basis by a tensor product construction and subsequent truncation of the resulting multiresolution series expansion. This volume of LNCSE is a collection of the papers from the proceedings of the workshop on sparse grids and its applications held in Bonn in May 2011. The selected articles present recent advances in the mathematical understanding and analysis of sparse grid discretization. Aspects arising from applications are given particular attention.

 

 

Keywords

adaptivity high-dimensional approximation sparse grids

Editors and affiliations

  • Jochen Garcke
    • 1
  • Michael Griebel
    • 2
  1. 1., Institut für Numerische SimulationUniversität BonnBonnGermany
  2. 2.Inst. Numerische SimulationUniversität BonnBonnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-31703-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-31702-6
  • Online ISBN 978-3-642-31703-3
  • Series Print ISSN 1439-7358
  • About this book