Wavelets in Numerical Simulation: Problem Adapted Construction and Applications
Author:   Karsten Urban
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   22
ISBN:  

9783540430551


Pages:   181
Publication Date:   23 April 2002
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Wavelets in Numerical Simulation: Problem Adapted Construction and Applications


Overview

This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The particular constructions are guided by the ultimate goal to ensure the key features also for general domains and problem classes. All constructions are illustrated by figures and examples are given.

Full Product Details

Author:   Karsten Urban
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   22
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.670kg
ISBN:  

9783540430551


ISBN 10:   3540430555
Pages:   181
Publication Date:   23 April 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

1 Wavelet Bases.- 1.1 Wavelet Bases in L2(?).- 1.2 Wavelets on the Real Line.- 1.4 Tensor Product Wavelets.- 1.5 Wavelets on General Domains.- 1.6 Vector Wavelets.- 2 Wavelet Bases for H(div) and H(curl).- 2.1 Differentiation and Integration.- 2.2 The Spaces H(div) and H (curl).- 2.3 Wavelet Systems for H (curl).- 2.4 Wavelet Bases for H(div).- 2.5 Helmholtz and Hodge Decompositions.- 2.6 General Domains.- 2.7 Examples.- 3 Applications.- 3.1 Robust and Optimal Preconditioning.- 3.2 Analysis and Simulation of Turbulent Flows.- 3.3 Hardening of an Elastoplastic Rod.- References.- List of Figures.- List of Tables.- List of Symbols.

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