A Direct Method for Parabolic PDE Constrained Optimization Problems, Andreas Potschka

Автор: Juan Carlos De los Reyes
Название: Numerical PDE-Constrained Optimization
ISBN: 3319133942 ISBN-13(EAN): 9783319133942
Издательство: Springer
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Описание: Introduction.- Basic Theory of Partial Differential Equations and Their Discretization.- Theory of PDE-constrained Optimization.- Numerical Optimization Methods.- Box-constrained Problems.- Nonsmooth PDE-constrained Optimization.

Автор: G?nter Leugering; Peter Benner; Sebastian Engell;
Название: Trends in PDE Constrained Optimization
ISBN: 3319381148 ISBN-13(EAN): 9783319381145
Издательство: Springer
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Описание: Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications.

Автор: Lorenz T. Biegler; Omar Ghattas; Matthias Heinkens
Название: Large-Scale PDE-Constrained Optimization
ISBN: 3540050450 ISBN-13(EAN): 9783540050452
Издательство: Springer
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Описание: Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization.

Автор: G?nter Leugering; Peter Benner; Sebastian Engell;
Название: Trends in PDE Constrained Optimization
ISBN: 3319050826 ISBN-13(EAN): 9783319050829
Издательство: Springer
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Описание: Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications.

Автор: Tobias Schwedes; David A. Ham; Simon W. Funke; Mat
Название: Mesh Dependence in PDE-Constrained Optimisation
ISBN: 3319594826 ISBN-13(EAN): 9783319594828
Издательство: Springer
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Описание:

This book provides an introduction to PDE-constrained optimisation using finite elements and the adjoint approach. The practical impact of the mathematical insights presented here are demonstrated using the realistic scenario of the optimal placement of marine power turbines, thereby illustrating the real-world relevance of best-practice Hilbert space aware approaches to PDE-constrained optimisation problems.

Many optimisation problems that arise in a real-world context are constrained by partial differential equations (PDEs). That is, the system whose configuration is to be optimised follows physical laws given by PDEs. This book describes general Hilbert space formulations of optimisation algorithms, thereby facilitating optimisations whose controls are functions of space. It demonstrates the importance of methods that respect the Hilbert space structure of the problem by analysing the mathematical drawbacks of failing to do so. The approaches considered are illustrated using the optimisation problem arising in tidal array layouts mentioned above.

This book will be useful to readers from engineering, computer science, mathematics and physics backgrounds interested in PDE-constrained optimisation and their real-world applications.

Автор: S.S. Wilson; Boris N. Pshenichnyj
Название: The Linearization Method for Constrained Optimization
ISBN: 364263401X ISBN-13(EAN): 9783642634017
Издательство: Springer
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Описание: This book, written by one of the leading specialists of optimization theory, sets out to provide - for a wide readership including engineers, economists and optimization specialists, from graduate student level on - a brief yet quite complete exposition of this most effective method of solution of optimization problems.

Автор: Alexander M. Rubinov; Xiao-qi Yang
Название: Lagrange-type Functions in Constrained Non-Convex Optimization
ISBN: 1461348218 ISBN-13(EAN): 9781461348214
Издательство: Springer
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Описание: Thus the question arises how to generalize classical Lagrange and penalty functions, in order to obtain an appropriate scheme for reducing constrained optimiza- tion problems to unconstrained ones that will be suitable for sufficiently broad classes of optimization problems from both the theoretical and computational viewpoints.

Автор: Franco Giannessi
Название: Constrained Optimization and Image Space Analysis
ISBN: 1441937595 ISBN-13(EAN): 9781441937599
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light.It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems.

Автор: G?nter Leugering; Sebastian Engell; Andreas Griewa
Название: Constrained Optimization and Optimal Control for Partial Differential Equations
ISBN: 3034808070 ISBN-13(EAN): 9783034808071
Издательство: Springer
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Цена: 18161.00 р.
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Описание: This volume focuses on optimization and control of processes governed by partial differential equations. It is organized in sections which cover almost the entire spectrum of modern research in this emerging field.

Автор: Rituparna Datta; Kalyanmoy Deb
Название: Evolutionary Constrained Optimization
ISBN: 8132235053 ISBN-13(EAN): 9788132235057
Издательство: Springer
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Описание: This book makes available a self-contained collection of modern research addressing the general constrained optimization problems using evolutionary algorithms.

Автор: Rituparna Datta; Kalyanmoy Deb
Название: Evolutionary Constrained Optimization
ISBN: 8132221834 ISBN-13(EAN): 9788132221838
Издательство: Springer
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Описание: This book makes available a self-contained collection of modern research addressing the general constrained optimization problems using evolutionary algorithms.