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Titlebook: Control and Optimization with PDE Constraints; Kristian Bredies,Christian Clason,Gregory Winckel Book 2013 Springer Basel 2013 PDE-constra

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發(fā)表于 2025-3-21 19:20:12 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Control and Optimization with PDE Constraints
編輯Kristian Bredies,Christian Clason,Gregory Winckel
視頻videohttp://file.papertrans.cn/238/237341/237341.mp4
概述Contains timely contributions from leading experts in the field.Covers a wide range of aspects of control and optimization of PDEs.Addresses both mathematicians and practitioners
叢書名稱International Series of Numerical Mathematics
圖書封面Titlebook: Control and Optimization with PDE Constraints;  Kristian Bredies,Christian Clason,Gregory Winckel Book 2013 Springer Basel 2013 PDE-constra
描述Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011.This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.
出版日期Book 2013
關鍵詞PDE-constrained optimization; discretization error estimates; nonsmooth optimization; optimal control; q
版次1
doihttps://doi.org/10.1007/978-3-0348-0631-2
isbn_softcover978-3-0348-0756-2
isbn_ebook978-3-0348-0631-2Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel 2013
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Zielgruppen- und Konkurrenzanalysetion. Our approach is based on an iterative update of a sequence of intermediate targets that gives rise to independent sub-problems that can be solved in parallel. This method can be coupled with the parareal in time algorithm. Numerical experiments show the efficiency of our method.
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Verwaltung, eGovernment und Digitalisierunge coupling between an adaptive POD representation of the solution and a Dynamic Programming approximation scheme for the corresponding evolutive Hamilton–Jacobi equation. We discuss several features regarding the adaptivity of the method, the role of error estimate indicators to choose a time subdiv
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