Electronic Resource

Numerical approximation of exact controls for waves

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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.​

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Ketersediaan

Informasi Detail

Judul Seri

SpringerBriefs in Mathematics

No. Panggil

E516

Penerbit

New York : Springer New York., 2013

Deskripsi Fisik

xvii, 122hlm.

Bahasa

English

ISBN/ISSN

9781461458081

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

1

Subjek

Matematika
Aproksimasi

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Sylvain Ervedoza, Enrique Zuazua

Versi lain/terkait

Lampiran Berkas

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