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Optimal Control of Partial Differential Equations

Analysis, Approximation, and Applications
BuchKartoniert, Paperback
498 Seiten
Englisch
Springererschienen am11.12.20221st ed. 2021
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.mehr
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EUR106,99
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Produkt

KlappentextThis 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.
Details
ISBN/GTIN978-3-030-77228-4
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2022
Erscheinungsdatum11.12.2022
Auflage1st ed. 2021
ReiheApplied Mathematical Sciences
Seiten498 Seiten
SpracheEnglisch
IllustrationenXVII, 498 p. 83 illus., 59 illus. in color.
Artikel-Nr.51381517

Inhalt/Kritik

Inhaltsverzeichnis
1 Introduction: Representative Examples, Mathematical Structure.- Part I A Preview on Optimization and Control in Finite Dimensions.- 2 Prelude on Optimization: Finite Dimension Spaces.- 3 Algorithms for Numerical Optimization.- 4 Prelude on Control: The Case of Algebraic and ODE Systems.- Part II Linear-Quadratic Optimal Control Problems.- 5 Quadratic control problems governed by linear elliptic PDEs.- 6 Numerical Approximation of Linear-Quadratic OCPs.- 7 Quadratic Control Problems Governed by Linear Evolution PDEs.- 8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs.- Part III More general PDE-constrained optimization problems.- 9 A Mathematical Framework for Nonlinear OCPs.- 10 Advanced Selected Applications.- 11 Shape Optimization Problems.- Appendix A Toolbox of Functional Analysis.- Appendix B Toolbox of Numerical Analysis.mehr
Kritik
"The book unique within the large set of existing textbooks and monographs in the field of OCPs. ... This excellent book is suitable to people interested in mathematical and applied sciences." (Gheorghe Moro anu, zbMATH 1483.49001, 2022)mehr

Schlagworte

Autor

Andrea Manzoni, PhD, is an Associate Professor of Numerical Analysis at Politecnico of Milan. He is the author of 2 books and of approximately 50 papers. In 2012 he won the ECCOMAS Award for the best PhD thesis in Europe about Computational Methods in Applied Sciences and Engineering and the Biannual SIMAI prize (Italian Society of Applied and Industrial Mathematics) in 2017. His research interests include the development of reduced-order modelling techniques for PDEs, PDE-constrained optimization, uncertainty quantification, computational statistics, and machine/deep learning.

Alfio Quarteroni is a Professor of Numerical Analysis at Politecnico of Milan and Professor Emeritus at EPFL, Lausanne. He is the author of 25 books, editor of 12 books, author of about 400 papers. He is the recipient of two ERC Advanced Grants. He is a member of the Italian Academy of Science, the European Academy of Science, Academia Europaea, and the Lisbon Academy of Science. His research Group at EPFL has carried out the mathematical simulation for the Alinghi sailing boat, the winner of two editions (2003 and 2007) of America's Cup. His research interests include mathematical modeling and its applications at large.

Sandro Salsa is a Professor of Mathematical Analysis at the Department of Mathematics of the Politecnico of Milan, where he has been one of the main founders of the educational program in Mathematical Engineering. His research interest ranges over diverse aspects of nonlinear, nonlocal, singular or degenerate elliptic and parabolic equations, with particular emphasis on free boundary problems. He is an author of 13 books and several papers in the most prestigious scientific mathematical journals.