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- Startseite
Bücher Englische Bücher Optimal Control of Partial Differential Equations
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Optimal Control of Partial Differential Equations
Andrea Manzoni, Alfio Quarteroni, Sandro Salsa (Gebundene Ausgabe, Englisch)
Optischer Zustand
Beschreibung
This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality… conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes ofOCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.12.2021
Sprache
Englisch
EAN
9783030772253
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Andrea Manzoni, Alfio Quarteroni, Sandro Salsa
Seitenanzahl
498
Einbandart
Gebundene Ausgabe
Buch Untertitel
Analysis, Approximation, and Applications
Schlagwörter
Optimal control, Partial differential equations, Numerical approximation, Mathematical analysis, Scientific computing
Thema-Inhalt
PBU - Optimierung
PBK - Mathematische Analysis, allgemein
PBKS - Numerische Mathematik
TBJ - Mathematik für Ingenieure
PHU - Mathematische Physik
Höhe
254 mm
Breite
17.8 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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