Level Set and PDE Based Reconstruction Methods in Imaging, Martin Burger; Andrea C.G. Mennucci; Stanley Osher

Автор: Bernhard Kawohl
Название: Rearrangements and Convexity of Level Sets in PDE
ISBN: 3540156933 ISBN-13(EAN): 9783540156932
Издательство: Springer
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Автор: Bertil Gustafsson
Название: High Order Difference Methods for Time Dependent PDE
ISBN: 3642094392 ISBN-13(EAN): 9783642094392
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book covers high order finite difference methods for time dependent PDE.

Автор: Chrisopher B. Croke; Gunther Uhlmann; Irena Lasiec
Название: Geometric Methods in Inverse Problems and PDE Control
ISBN: 1441923411 ISBN-13(EAN): 9781441923417
Издательство: Springer
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Описание: This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title.

Автор: Chrisopher B. Croke; Gunther Uhlmann; Irena Lasiec
Название: Geometric Methods in Inverse Problems and PDE Control
ISBN: 0387405291 ISBN-13(EAN): 9780387405292
Издательство: Springer
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Описание: This volume contains a selection of articles based on lectures delivered at the IMA 2001 Summer Program after which it is named. The articles are focused around a set of common tools used in the study of inverse coefficient and control problems for PDEs and related differential geometric problems.

Автор: Andreas Potschka
Название: A Direct Method for Parabolic PDE Constrained Optimization Problems
ISBN: 3658044756 ISBN-13(EAN): 9783658044756
Издательство: Springer
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Описание: Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations.

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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Цена: 15372.00 р.
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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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Цена: 21661.00 р.
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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: Giovanna Citti; Maria Manfredini; Daniele Morbidel
Название: Geometric Methods in PDE`s
ISBN: 3319346997 ISBN-13(EAN): 9783319346991
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs.

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: Nikos Katzourakis
Название: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L?
ISBN: 3319128280 ISBN-13(EAN): 9783319128283
Издательство: Springer
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Описание: The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE).

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.