Advances in Numerical Mathematics

A Direct Method for Parabolic PDE Constrained Optimization Problems

Authors: Potschka, Andreas

  • Publication in the field of natural sciences

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eBook $69.99
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  • ISBN 978-3-658-04476-3
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Softcover $89.99
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  • ISBN 978-3-658-04475-6
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About this book

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

About the authors

Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.

Reviews

From the book reviews:

“The thesis is well written and organized, structured in three parts: theoretical foundations, numerical methods, and applications and numerical results. The target groups are researches and students in the fields of mathematics, information systems and scientific computing as well as users confronted with PDE constrained optimization problems.” (Ctirad Matonoha, zbMATH, Vol. 1293, 2014)

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-658-04476-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
valid through November 5, 2017
  • ISBN 978-3-658-04475-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
A Direct Method for Parabolic PDE Constrained Optimization Problems
Authors
Series Title
Advances in Numerical Mathematics
Copyright
2014
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden
eBook ISBN
978-3-658-04476-3
DOI
10.1007/978-3-658-04476-3
Softcover ISBN
978-3-658-04475-6
Series ISSN
1616-2994
Edition Number
1
Number of Pages
XIV, 216
Number of Illustrations and Tables
30 b/w illustrations
Topics