Optimal Control of Partial Differential Equations, 9783030772284
Paperback
Control PDEs, solve real-world problems: theory, numerics, applications, and pseudocodes.

Optimal Control of Partial Differential Equations

analysis, approximation, and applications

$230.47

  • Paperback

    498 pages

  • Release Date

    11 December 2022

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Summary

Mastering Optimal Control of Partial Differential Equations

This book explores optimal control problems (OCPs) for partial differential equations (PDEs), stemming from courses taught by the authors at Politecnico di Milano. It encompasses the setup, rigorous theoretical analysis, derivation of optimality conditions, numerical methods, and their application to practical problems.

The book begins with an overview of representative OCPs and their mathematical issues. It is then…

Book Details

ISBN-13:9783030772284
ISBN-10:3030772284
Series:Applied Mathematical Sciences
Author:Andrea Manzoni, Alfio Quarteroni, Sandro Salsa
Publisher:Springer Nature Switzerland AG
Imprint:Springer Nature Switzerland AG
Format:Paperback
Number of Pages:498
Edition:2021st
Release Date:11 December 2022
Weight:972g
Dimensions:254mm x 178mm
What They're Saying

Critics Review

“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 Moroșanu, zbMATH 1483.49001, 2022)

About The Author

Andrea Manzoni

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.

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