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Multiscale Modeling and Simulation in Science

  • Björn Engquist
  • Per Lötstedt
  • Olof Runborg

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 66)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Tutorials

    1. Jørg E. Aarnes, Knut—Andreas Lie, Vegard Kippe, Stein Krogstad
      Pages 3-48
    2. Claude Le Bris, Tony Lelièvre
      Pages 49-137
    3. Gil Ariel, Björn Engquist, Heinz-Otto Kreiss, Richard Tsai
      Pages 237-287
  3. Projects

    1. Hugosson W. Håkan, Hans Ågren
      Pages 291-294
    2. Erik Koch, Eva Pavarini
      Pages 295-298
    3. Heiner Körnich, Erland Källén
      Pages 299-302
    4. Garrelt Mellema
      Pages 307-310
    5. Yngve Öhrn, Erik Deumens
      Pages 311-316
    6. Peter Zahn, Patrik Thunström, Tomas Johnson
      Pages 317-320
  4. Back Matter
    Pages 321-326

About this book

Introduction

This book contains lecture notes of current development in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, fast multipole methods and wavelets. The text includes well designed exercises and project reports on different applications such as astrophysics, computational chemistry, porous media flow and climate change.

Keywords

astrophysics computational fluid dynamics computational science and engineering fast algorithms fluid dynamics homogenization multiscale porous media

Editors and affiliations

  • Björn Engquist
    • 1
  • Per Lötstedt
    • 2
  • Olof Runborg
    • 3
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA
  2. 2.Department of Information TechnologyUppsala UniversityUppsalaSweden
  3. 3.Department of Numerical Analysis and Computer ScienceRoyal Institute of TechnologyStockholmSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-88857-4
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-88856-7
  • Online ISBN 978-3-540-88857-4
  • Series Print ISSN 1439-7358
  • Buy this book on publisher's site