Name: Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces (en Inglés)
SKU: 62068415
Price: 110.22 USD
Availability: InStock
Author: Alexander Sieber
ISBN: 9783832551964

portada Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces (en Inglés)

Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag Berlin

Autor

Alexander Sieber

Idioma

Inglés

N° páginas

187

Encuadernación

Tapa Blanda

ISBN13

9783832551964

Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces (en Inglés)

Alexander Sieber (Autor) · Logos Verlag Berlin · Tapa Blanda

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Reseña del libro "Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces (en Inglés)"

Numerous problems in science and technology can be described with the help of partial differential equations. This thesis is dedicated to the numerical treatment of these equations using adaptive quarklet methods. By a quarklet we understand the product of a wavelet and a piecewise polynomial, consequently we call a polynomially enriched wavelet basis quarklet frame. These function systems can initially be constructed both on the real line and the unit interval and, having done this, be generalised to higher dimensions by using tensor product techniques and domain decompositions. Quarklet systems are stable in Besov and Sobolev spaces, furthermore they fulfil certain compressibility properties and hence are convenient to be utilised in generic frame methods for the treatment of operator equations. Adaptive quarklet methods represent hp-variants of wavelet methods, therefore there is strong hope that they converge quite fast.