001441430 000__ 04738cam\a2200553Ii\4500
001441430 001__ 1441430
001441430 003__ OCoLC
001441430 005__ 20230309004738.0
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001441430 019__ $$a1290814267$$a1290841703$$a1294357820
001441430 020__ $$a9783030772260$$q(electronic bk.)
001441430 020__ $$a3030772268$$q(electronic bk.)
001441430 020__ $$z9783030772253$$q(print)
001441430 020__ $$z303077225X
001441430 0247_ $$a10.1007/978-3-030-77226-0$$2doi
001441430 035__ $$aSP(OCoLC)1290777755
001441430 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCO$$dDCT$$dOCLCF$$dOCLCO$$dUKAHL$$dOCLCQ
001441430 049__ $$aISEA
001441430 050_4 $$aQA377
001441430 08204 $$a515/.353$$223
001441430 1001_ $$aManzoni, Andrea,$$eauthor.
001441430 24510 $$aOptimal control of partial differential equations :$$banalysis, approximation, and applications /$$cAndrea Manzoni, Alfio Quarteroni, Sandro Salsa.
001441430 264_1 $$aCham, Switzerland :$$bSpringer,$$c2021.
001441430 300__ $$a1 online resource (xvii, 498 pages) :$$billustrations (some color).
001441430 336__ $$atext$$btxt$$2rdacontent
001441430 337__ $$acomputer$$bc$$2rdamedia
001441430 338__ $$aonline resource$$bcr$$2rdacarrier
001441430 347__ $$atext file$$bPDF$$2rda
001441430 4901_ $$aApplied mathematical s0ciences,$$x2196-968X ;$$vvolume 207
001441430 504__ $$aIncludes bibliographical references and index.
001441430 5050_ $$a1 Introduction: Representative Examples, Mathematical Structure -- Part I A Preview on Optimization and Control in Finite Dimensions -- 2 Prelude on Optimization: Finite Dimension Spaces -- 3 Algorithms for Numerical Optimization -- 4 Prelude on Control: The Case of Algebraic and ODE Systems -- Part II Linear-Quadratic Optimal Control Problems -- 5 Quadratic control problems governed by linear elliptic PDEs -- 6 Numerical Approximation of Linear-Quadratic OCPs -- 7 Quadratic Control Problems Governed by Linear Evolution PDEs -- 8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs -- Part III More general PDE-constrained optimization problems -- 9 A Mathematical Framework for Nonlinear OCPs -- 10 Advanced Selected Applications -- 11 Shape Optimization Problems -- Appendix A Toolbox of Functional Analysis -- Appendix B Toolbox of Numerical Analysis.
001441430 506__ $$aAccess limited to authorized users.
001441430 520__ $$aThis is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a "hands-on' treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.
001441430 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed January 4, 2022).
001441430 650_0 $$aDifferential equations, Partial.
001441430 650_6 $$aÉquations aux dérivées partielles.
001441430 655_0 $$aElectronic books.
001441430 7001_ $$aQuarteroni, Alfio,$$eauthor.
001441430 7001_ $$aSalsa, S.,$$eauthor.
001441430 77608 $$iPrint version: $$z303077225X$$z9783030772253$$w(OCoLC)1249081342
001441430 830_0 $$aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$$vv. 207.$$x2196-968X
001441430 852__ $$bebk
001441430 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-77226-0$$zOnline Access$$91397441.1
001441430 909CO $$ooai:library.usi.edu:1441430$$pGLOBAL_SET
001441430 980__ $$aBIB
001441430 980__ $$aEBOOK
001441430 982__ $$aEbook
001441430 983__ $$aOnline
001441430 994__ $$a92$$bISE