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035   $a(DE-He213)978-3-319-98210-6
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100   $a20180830d2018      u|         0
101 0 $aeng
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200 10$aOptimal Control of PDEs under Uncertainty $eAn Introduction with Application to Optimal Shape Design of Structures /$fby Jesús Martínez-Frutos, Francisco Periago Esparza
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (138 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-319-98209-5 
327   $a1 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.
330   $aThis book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty. The main objective of the book is to offer graduate students and researchers a smooth transition from optimal control of deterministic PDEs to optimal control of random PDEs. Coverage includes uncertainty modelling in control problems, variational formulation of PDEs with random inputs, robust and risk-averse formulations of optimal control problems, existence theory and numerical resolution methods. The exposition focusses on the entire path, starting from uncertainty modelling and ending in the practical implementation of numerical schemes for the numerical approximation of the considered problems. To this end, a selected number of illustrative examples are analysed in detail throughout the book. Computer codes, written in MatLab, are provided for all these examples. This book is adressed to graduate students and researches in Engineering, Physics and Mathematics who are interested in optimal control and optimal design for random partial differential equations.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aPartial differential equations
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aVibration
606   $aDynamical systems
606   $aDynamics
606   $aMechanics
606   $aMechanics, Applied
606   $aCalculus of variations
606   $aProbabilities
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
606   $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aPartial differential equations.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aVibration.
615  0$aDynamical systems.
615  0$aDynamics.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aCalculus of variations.
615  0$aProbabilities.
615 14$aPartial Differential Equations.
615 24$aMathematical and Computational Engineering.
615 24$aVibration, Dynamical Systems, Control.
615 24$aSolid Mechanics.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aProbability Theory and Stochastic Processes.
676   $a515.353
700   $aMartínez-Frutos$b Jesús$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767872
702   $aPeriago Esparza$b Francisco$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300102703321
996   $aOptimal Control of PDEs under Uncertainty$92205552
997   $aUNINA