000			02611 a2200289 4500
003			OSt
005			20250113145621.0
008			250108b xxu||||| |||| 00| 0 eng d
020			_a9783030772284
040			_cIIT Kanpur
041			_aeng
082			_a515.353 _bM319o
100			_aManzoni, Andrea
245			_aOptimal control of partial differential equations _banalysis, approximation, and applications _cAndrea Manzoni, Alfio Quarteroni and Sandro Salsa
260			_bSpringer _c2021 _aSwitzerland
300			_axvii, 498p
440			_aApplied mathematical sciences
490			_a / edited by Anthony Bloch ... [et al.] _vv. 207
520			_aThis 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.
650			_aCalculus of variations
650			_aControl theory
650			_aDifferential equations, partial
650			_aMathematical optimization
700			_aQuarteroni, Alfio
700			_aSalsa, Sandro
942			_cBK
999			_c567323 _d567323