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Item Details
Title: WAVELETS IN NUMERICAL SIMULATION
PROBLEM ADAPTED CONSTRUCTION AND APPLICATIONS
By: Karsten Urban
Format: Paperback

List price: £89.99


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ISBN 10: 3540430555
ISBN 13: 9783540430551
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 23 April, 2002
Edition: Softcover reprint of the original 1st ed. 2002
Series: Lecture Notes in Computational Science and Engineering 22
Pages: 181
Description: This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. Offering examples, it offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand.
Synopsis: Sapere aude! Immanuel Kant (1724-1804) Numerical simulations playa key role in many areas of modern science and technology. They are necessary in particular when experiments for the underlying problem are too dangerous, too expensive or not even possible. The latter situation appears for example when relevant length scales are below the observation level. Moreover, numerical simulations are needed to control complex processes and systems. In all these cases the relevant problems may become highly complex. Hence the following issues are of vital importance for a numerical simulation: - Efficiency of the numerical solvers: Efficient and fast numerical schemes are the basis for a simulation of 'real world' problems. This becomes even more important for realtime problems where the runtime of the numerical simulation has to be of the order of the time span required by the simulated process. Without efficient solution methods the simulation of many problems is not feasible. 'Efficient' means here that the overall cost of the numerical scheme remains proportional to the degrees of freedom, i. e. , the numerical approximation is determined in linear time when the problem size grows e. g. to upgrade accuracy. Of course, as soon as the solution of large systems of equations is involved this requirement is very demanding.
Illustrations: XV, 181 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
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