{"product_id":"optimal-control-of-partial-differential-equations-analysis-approximation-and-applications-9783030772284","title":"Optimal Control of Partial Differential Equations: Analysis, Approximation, and Applications","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis book is about optimal control problems (OCPs) for partial differential equations (PDEs), covering the theoretical analysis, numerical methods, and applications to practical problems. It evolved from courses taught by the authors at Politecnico di Milano and is suitable for readers with varying mathematical backgrounds. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 498 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 11 December 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eThis comprehensive book on optimal control problems (OCPs) for partial differential equations (PDEs) is the result of a series of courses taught by the authors at Politecnico di Milano. It spans from the theoretical setup and rigorous analysis of OCPs to the derivation of system of optimality conditions, the proposition of suitable numerical methods, their formulation, analysis, and application to a wide range of practical problems.\u003cbr\u003e\u003cbr\u003eThe first introductory chapter provides an overview of representative OCPs and highlights the associated mathematical challenges. The rest of the book is organized into three parts:\u003cbr\u003e\u003cbr\u003ePart I introduces preliminary concepts of OCPs for algebraic and dynamical systems.\u003cbr\u003e\u003cbr\u003ePart II focuses on OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions.\u003cbr\u003e\u003cbr\u003ePart III explores more general classes of OCPs that underpin advanced applications.\u003cbr\u003e\u003cbr\u003eThe book progresses from simple problems that allow a hands-on treatment to a general framework suitable for tackling a broader class of problems. Numerous pseudocodes are included to facilitate the implementation of the algorithms illustrated throughout the text.\u003cbr\u003e\u003cbr\u003eThis book is designed for readers with varying mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. Applied mathematicians, computational scientists, and engineers will find it valuable for approaching OCPs in complex applications with a constructive mindset.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 972g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 254 x 178 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030772284\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2021\u003c\/p\u003e","brand":"Andrea Manzoni,Alfio Quarteroni,Sandro Salsa","offers":[{"title":"Paperback \/ softback","offer_id":44262501646586,"sku":"9783030772284","price":58.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_737eb766-c1b1-48e4-8477-752e70139479.jpg?v=1685608407","url":"https:\/\/shulphink.com\/products\/optimal-control-of-partial-differential-equations-analysis-approximation-and-applications-9783030772284","provider":"Shulph Ink","version":"1.0","type":"link"}