Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Control and Optimization with PDE Constraints

  • Book
  • © 2013

Overview

Editors:
  1. Kristian Bredies

    1. , Institute for Mathematics and Scientific, University of Graz, Graz, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Christian Clason

    1. , Institute for Mathematics and Scientific, University of Graz, Graz, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Karl Kunisch

    1. , Institute for Mathematics and Scientific, University of Graz, Graz, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  4. Gregory Winckel

    1. , Institute for Mathematics and Scientific, University of Graz, Graz, Austria

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Contains timely contributions from leading experts in the field
  • Covers a wide range of aspects of control and optimization of PDEs
  • Addresses both mathematicians and practitioners

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 164)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations

    • Alessandro Alla, Maurizio Falcone
    Pages 1-17

  3. Generalized Sensitivity Analysis for Delay Differential Equations

    • H. T. Banks, Danielle Robbins, Karyn L. Sutton
    Pages 19-44

  4. Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives

    • Susanne Beckers, Masahiro Yamamoto
    Pages 45-55

  5. Nonsmooth Optimization Method and Sparsity

    • Kazufumi Ito
    Pages 57-77

  6. Parareal in Time Intermediate Targets Methods for Optimal Control Problems

    • Yvon Maday, Mohamed-Kamel Riahi, Julien Salomon
    Pages 79-92

  7. Hamilton–Jacobi–Bellman Equations on Multi-domains

    • Zhiping Rao, Hasnaa Zidani
    Pages 93-116

  8. Gradient Computation for Model Calibration with Pointwise Observations

    • Ekkehard W. Sachs, Matthias Schu
    Pages 117-136

  9. Numerical Analysis of POD A-posteriori Error Estimation for Optimal Control

    • Alina Studinger, Stefan Volkwein
    Pages 137-158

  10. Cubature on C 1 Space

    • Gabriel Turinici
    Pages 159-172

  11. A Globalized Newton Method for the Optimal Control of Fermionic Systems

    • Gregory von Winckel
    Pages 173-191

  12. A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains

    • Winnifried Wollner
    Pages 193-215
Back to top

Keywords

About this book

Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.

Editors and Affiliations

  • , Institute for Mathematics and Scientific, University of Graz, Graz, Austria

    Kristian Bredies, Christian Clason, Karl Kunisch, Gregory Winckel

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation