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A Direct Method for Parabolic PDE Constrained Optimization Problems
Taschenbuch von Andreas Potschka
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

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.

Inhaltsverzeichnis
Parabolic PDE Constrained Optimization Problems.- Two-Grid Newton-Picard Inexact SQP.- Structure Exploiting Solution of QPs.- Applications and Numerical Results.
Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advances in Numerical Mathematics
Inhalt: xiv
216 S.
30 s/w Illustr.
216 p. 30 illus.
ISBN-13: 9783658044756
ISBN-10: 3658044756
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Potschka, Andreas
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Advances in Numerical Mathematics
Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 210 x 148 x 13 mm
Von/Mit: Andreas Potschka
Erscheinungsdatum: 13.12.2013
Gewicht: 0,306 kg
Artikel-ID: 105538021
Über den Autor

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.

Zusammenfassung

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.

Inhaltsverzeichnis
Parabolic PDE Constrained Optimization Problems.- Two-Grid Newton-Picard Inexact SQP.- Structure Exploiting Solution of QPs.- Applications and Numerical Results.
Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Advances in Numerical Mathematics
Inhalt: xiv
216 S.
30 s/w Illustr.
216 p. 30 illus.
ISBN-13: 9783658044756
ISBN-10: 3658044756
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Potschka, Andreas
Hersteller: Springer Fachmedien Wiesbaden
Springer Fachmedien Wiesbaden GmbH
Advances in Numerical Mathematics
Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 210 x 148 x 13 mm
Von/Mit: Andreas Potschka
Erscheinungsdatum: 13.12.2013
Gewicht: 0,306 kg
Artikel-ID: 105538021
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