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portada Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces
Type
Physical Book
Publisher
Author
Language
English
Pages
187
Format
Paperback
ISBN13
9783832551964

Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces

Alexander Sieber (Author) · Logos Verlag Berlin · Paperback

Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces - Alexander Sieber

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Delivery: 05 Nov - 16 Nov Shipping: 14 to 16 business days.
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NT$ 3,455

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Synopsis "Adaptive Quarklet Schemes: Approximation, Compression, Function Spaces"

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.

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