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Optimal control of PDEs under uncert...

Martinez-Frutos, Jesus.

Optimal control of PDEs under uncertaintyan introduction with application to optimal shape design of structures /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Optimal control of PDEs under uncertaintyby Jesus Martinez-Frutos, Francisco Periago Esparza.
其他題名:	an introduction with application to optimal shape design of structures /
作者:	Martinez-Frutos, Jesus.
其他作者:	Periago Esparza, Francisco.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xix, 123 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
電子資源:	https://doi.org/10.1007/978-3-319-98210-6
ISBN:	9783319982106$q(electronic bk.)

Optimal control of PDEs under uncertaintyan introduction with application to optimal shape design of structures /
Martinez-Frutos, Jesus.

Optimal control of PDEs under uncertaintyan introduction with application to optimal shape design of structures /[electronic resource] :by Jesus Martinez-Frutos, Francisco Periago Esparza. - Cham :Springer International Publishing :2018. - xix, 123 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1 Introduction -- 2 Mathematical Preliminaires -- 3 Mathematical Analysis of Optimal Control Problems Under Uncertainty -- 4 Numerical Resolution of Robust Optimal Control Problems -- 5 Numerical Resolution of Risk Averse Optimal Control Problems -- 6 Structural Optimization Under Uncertainty -- 7 Miscellaneous Topics and Open Problems.

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 is adressed to graduate students and researches in Engineering, Physics and Mathematics who are interested in optimal control and optimal design for random partial differential equations.

ISBN: 9783319982106$q(electronic bk.)

Standard No.: 10.1007/978-3-319-98210-6doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA374 / .M378 2018

Dewey Class. No.: 515.353

Optimal control of PDEs under uncertaintyan introduction with application to optimal shape design of structures /
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505 0 $a 1 Introduction -- 2 Mathematical Preliminaires -- 3 Mathematical Analysis of Optimal Control Problems Under Uncertainty -- 4 Numerical Resolution of Robust Optimal Control Problems -- 5 Numerical Resolution of Risk Averse Optimal Control Problems -- 6 Structural Optimization Under Uncertainty -- 7 Miscellaneous Topics and Open Problems.
520 $a 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 is adressed to graduate students and researches in Engineering, Physics and Mathematics who are interested in optimal control and optimal design for random partial differential equations.
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650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
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