| 书目名称 | Optimal Control of PDEs under Uncertainty | | 副标题 | An Introduction with | | 编辑 | Jesús Martínez-Frutos,Francisco Periago Esparza | | 视频video | | | 概述 | Offers a smooth transition from optimal control of deterministic PDEs to optimal control of random PDEs.Covers uncertainty modelling in control problems, variational formulation of random PDEs, existe | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .This book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty. The main objective of the book is to offer graduate students and researchers a smooth transition from optimal control of deterministic PDEs to optimal control of random PDEs. Coverage includes uncertainty modelling in control problems, variational formulation of PDEs with random inputs, robust and risk-averse formulations of optimal control problems, existence theory and numerical resolution methods. The exposition focusses on the entire path, starting from uncertainty modelling and ending in the practical implementation of numerical schemes for the numerical approximation of the considered problems. To this end, a selected number of illustrative examples are analysed in detail throughout the book. Computer codes, written in MatLab, are provided for all these examples. This book isadressed to graduate students and researches in Engineering, Physics and Mathematics who are interested in optimal control and optimal design for random partial differential equations.. | | 出版日期 | Book 2018 | | 关键词 | Partial differential equations with random inputs; Stochastic expansion methods; Robust optimal contro | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-98210-6 | | isbn_softcover | 978-3-319-98209-0 | | isbn_ebook | 978-3-319-98210-6Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2018 |
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发表于 2025-3-21 18:44:51
