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＜電子ブック＞
Multiscale and Multiresolution Methods : Theory and Applications / edited by Timothy J. Barth, Tony Chan, Robert Haimes
(Lecture Notes in Computational Science and Engineering. ISSN:21977100 ; 20)

版	1st ed. 2002.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2002
大きさ	X, 394 p : online resource
著者標目	Barth, Timothy J editor Chan, Tony editor Haimes, Robert editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematics—Data processing LCSH:Numerical analysis LCSH:Computational intelligence FREE:Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Numerical Analysis FREE:Computational Intelligence
一般注記	Multiscale Scientific Computation: Review -- Wavelet-Based Numerical Homogenization with Applications -- Beamlets and Multiscale Image Analysis -- Generalized FEM for Homogenization Problems -- Nonlinear Multiscale Transforms -- Application of Harten’s Framework for Multiresolution: From Conservation Laws to Image Compression -- A Two Level Finite Element Technique for Pressure Recovery from the Stream Function Formulation of the Navier-Stokes Equations -- The Role of Multiresolution in Mining Massive Image Datasets -- Dynamic Subgrid Modeling for Scalar Convection-Diffusion-Reaction Equations with Fractal Coefficients -- Multilevel Methods for Inverse Bioelectric Field Problems -- Multiscale Eigenbasis Calculations: N Eigenfunctions in O(N log N) -- Wavelet Galerkin BEM on Unstructured Meshes by Aggregation -- Collected Color Plates Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems HTTP:URL=https://doi.org/10.1007/978-3-642-56205-1

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