Numerical Approximation of Exact Controls for Waves Sylvain Ervedoza Author
- new bookISBN: 9781461458081
This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagati… More...
This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, On the Numerical Approximations of Controls for Waves has rich applications to data assimilation problems and will be of interest to researchers who deal with wave approximations. Digital Content>E-books>Science>Mathematics>Mathematics, Springer New York Digital >16<
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Sylvain Ervedoza#Enrique Zuazua:Numerical Approximation of Exact Controls for Waves
- new book 2013, ISBN: 9781461458081
¿¿¿¿¿¿This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the… More...
¿¿¿¿¿¿This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, 'On the Numerical Approximations of Controls for Waves' has rich applications to data assimilation problems and will be of interest to researchers who deal with wave approximations.¿ eBook Sylvain Ervedoza#Enrique Zuazua PDF, Springer, 17.02.2013, Springer, 2013<
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(*) Book out-of-stock means that the book is currently not available at any of the associated platforms we search.
Sylvain Ervedoza#Enrique Zuazua:Numerical Approximation of Exact Controls for Waves
- new book 2013, ISBN: 9781461458081
¿¿¿¿¿¿This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the… More...
¿¿¿¿¿¿This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, 'On the Numerical Approximations of Controls for Waves' has rich applications to data assimilation problems and will be of interest to researchers who deal with wave approximations.¿ eBook Sylvain Ervedoza#Enrique Zuazua PDF, Springer, 17.02.2013, Springer, 2013<
| | Thalia.deNr. 34929114. Shipping costs:, Sofort per Download lieferbar, DE. (EUR 0.00) Details... |
(*) Book out-of-stock means that the book is currently not available at any of the associated platforms we search.
Enrique Zuazua, Sylvain Ervedoza:Numerical Approximation of Exact Controls for Waves
- new book ISBN: 9781461458081
This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. … More...
This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional settin This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional settin, Springer<
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Sylvain Ervedoza; Enrique Zuazua:Numerical Approximation of Exact Controls for Waves
- First edition 2013, ISBN: 9781461458081
eBooks, eBook Download (PDF), Auflage, [PU: Springer-Verlag], [ED: 1], Springer-Verlag, 2013
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