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Multiple Shooting and Time Domain Decomposition Methods

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

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Thomas Carraro

    1. Heidelberg University, Institute for Applied Mathematics, Heidelberg, Germany

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  2. Michael Geiger

    1. Heidelberg University, Institute for Applied Mathematics, Heidelberg, Germany

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  3. Stefan Körkel

    1. Heidelberg University, Interdisciplinary Center for Scientific Computing, Heidelberg, Germany

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  4. Rolf Rannacher

    1. Heidelberg University, Institute for Applied Mathematics, Heidelberg, Germany

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

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Table of contents (16 papers)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Direct Multiple Shooting and Generalized Gauss-Newton Method for Parameter Estimation Problems in ODE Models

    • Hans Georg Bock, Ekaterina Kostina, Johannes P. Schlöder
    Pages 1-34

  3. Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems

    • Thomas Carraro, Michael Geiger
    Pages 35-67

  4. 50 Years of Time Parallel Time Integration

    • Martin J. Gander
    Pages 69-113

  5. Direct Multiple Shooting for Nonlinear Optimum Experimental Design

    • Dennis Janka, Stefan Körkel, Hans Georg Bock
    Pages 115-141

  6. Parameter Estimation for High-Dimensional PDE Models Using a Reduced Approach

    • Robert Kircheis, Stefan Körkel
    Pages 143-157

  7. Direct Multiple Shooting for Parabolic PDE Constrained Optimization

    • Andreas Potschka
    Pages 159-181

  8. Multiple Shooting in a Microsecond

    • Rien Quirynen, Milan Vukov, Moritz Diehl
    Pages 183-201

  9. Preconditioners Based on “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization

    • Stefan Ulbrich
    Pages 203-232

  10. Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations

    • Tuğba Akman, Bülent Karasözen
    Pages 233-261

  11. Reducing Memory Requirements in Scientific Computing and Optimal Control

    • Sebastian Götschel, Christoph von Tycowicz, Konrad Polthier, Martin Weiser
    Pages 263-287

  12. Optimal Control of Heat and Fluid Flow for Efficient Energy Utilization

    • Yosuke Hasegawa
    Pages 289-304

  13. A Unified Approach to Integration and Optimization of Parametric Ordinary Differential Equations

    • Daniel Kaschek, Jens Timmer
    Pages 305-314

  14. A Variational Approach for Physically Based Image Interpolation Across Boundaries

    • Matthias Klinger
    Pages 315-354

  15. Statistics for Model Calibration

    • Clemens Kreutz, Andreas Raue, Jens Timmer
    Pages 355-375

  16. On Time Discretizations of Fluid-Structure Interactions

    • Thomas Richter, Thomas Wick
    Pages 377-400

  17. Parareal Time-Stepping for Limit-Cycle Computation of the Incompressible Navier-Stokes Equations with Uncertain Periodic Dynamics

    • Michael Schick
    Pages 401-422
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Keywords

About this book

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.

Editors and Affiliations

  • Heidelberg University, Institute for Applied Mathematics, Heidelberg, Germany

    Thomas Carraro, Michael Geiger, Rolf Rannacher

  • Heidelberg University, Interdisciplinary Center for Scientific Computing, Heidelberg, Germany

    Stefan Körkel

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