Multiple Shooting and Time Domain Decomposition Methods

MuS-TDD, Heidelberg, May 6-8, 2013

  • Thomas Carraro
  • Michael Geiger
  • Stefan Körkel
  • Rolf Rannacher

Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 9)

Table of contents

  1. Front Matter
    Pages i-x
  2. Martin J. Gander
    Pages 69-113
  3. Dennis Janka, Stefan Körkel, Hans Georg Bock
    Pages 115-141
  4. Rien Quirynen, Milan Vukov, Moritz Diehl
    Pages 183-201
  5. Sebastian Götschel, Christoph von Tycowicz, Konrad Polthier, Martin Weiser
    Pages 263-287
  6. Clemens Kreutz, Andreas Raue, Jens Timmer
    Pages 355-375
  7. Thomas Richter, Thomas Wick
    Pages 377-400

About these proceedings

Introduction

This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. 

The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. 

This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of great interest to applied mathematicians, computer scientists and all scientists using mathematical methods.

Keywords

applications from physics, biology and engineering differential equations multiple shooting nonlinear optimization numerical methods and algorithms optimal control optimum experimental design parameter estimation time domain decomposition

Editors and affiliations

  • Thomas Carraro
    • 1
  • Michael Geiger
    • 2
  • Stefan Körkel
    • 3
  • Rolf Rannacher
    • 4
  1. 1.Heidelberg University, Institute for Applied MathematicsHeidelbergGermany
  2. 2.Heidelberg University, Institute for Applied MathematicsHeidelbergGermany
  3. 3.Heidelberg University, Interdisciplinary Center for Scientific ComputingHeidelbergGermany
  4. 4.Heidelberg University, Institute for Applied MathematicsHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-23321-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-23320-8
  • Online ISBN 978-3-319-23321-5
  • Series Print ISSN 2191-303X
  • Series Online ISSN 2191-3048
  • About this book
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