Multiresolution methods in scattered data modelling

Armin Iske - Collection Lecture Notes in Computational Science and Engineering

188 pages, parution le 15/04/2004

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Résumé

This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies. The resulting multiresolution methods are thinning algorithms, multilevel approximation schemes, and meshfree discretizations for transport equations. The utility of the algorithmic approach taken in this research is supported by the wide range of applications, including image compression, hierarchical surface visualization, and multiscale flow simulation. Special emphasis is placed on comparisons between the various numerical algorithms developed in this work and comparable state-of-the-art methods.

L'auteur - Armin Iske

Iske, A., Technische Universität München, Germany, editor

Sommaire

Algorithms and data structures
Radial basis functions
Thinning algorithms
Multilevel approximation schemes
Meshfree methods for Transport equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Armin Iske
Collection	Lecture Notes in Computational Science and Engineering
Parution	15/04/2004
Nb. de pages	188
Format	15,5 x 23,5
Couverture	Broché
Poids	311g
Intérieur	Noir et Blanc
EAN13	9783540204794