Multiresolution Methods in Scattered Data Modelling

Multiresolution Methods in Scattered Data Modelling
Author :
Publisher : Springer Science & Business Media
Total Pages : 195
Release :
ISBN-10 : 9783642187544
ISBN-13 : 3642187544
Rating : 4/5 (544 Downloads)

Book Synopsis Multiresolution Methods in Scattered Data Modelling by : Armin Iske

Download or read book Multiresolution Methods in Scattered Data Modelling written by Armin Iske and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, which are developed individually in this work. The resulting multiresolution methods include thinning algorithms, multi levelapproximation schemes, and meshfree discretizations for transport equa tions. The utility of the proposed computational methods is supported by their wide range of applications, such as image compression, hierarchical sur face 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. To this end, extensive numerical examples, mainly arising from real-world applications, are provided. This research monograph is arranged in six chapters: 1. Introduction; 2. Algorithms and Data Structures; 3. Radial Basis Functions; 4. Thinning Algorithms; 5. Multilevel Approximation Schemes; 6. Meshfree Methods for Transport Equations. Chapter 1 provides a preliminary discussion on basic concepts, tools and principles of multiresolution methods, scattered data modelling, multilevel methods and adaptive irregular sampling. Relevant algorithms and data structures, such as triangulation methods, heaps, and quadtrees, are then introduced in Chapter 2.


Multiresolution Methods in Scattered Data Modelling Related Books

Multiresolution Methods in Scattered Data Modelling
Language: en
Pages: 195
Authors: Armin Iske
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this en
Multiscale Modeling and Simulation in Science
Language: en
Pages: 332
Authors: Björn Engquist
Categories: Computers
Type: BOOK - Published: 2009-02-11 - Publisher: Springer Science & Business Media

GET EBOOK

Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a win
Parallel Computational Fluid Dynamics 2007
Language: en
Pages: 489
Authors: Ismail H. Tuncer
Categories: Mathematics
Type: BOOK - Published: 2009-04-21 - Publisher: Springer Science & Business Media

GET EBOOK

At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in May 2007, the most recent developments and implementations of
Recent Advances in Algorithmic Differentiation
Language: en
Pages: 356
Authors: Shaun Forth
Categories: Mathematics
Type: BOOK - Published: 2012-07-30 - Publisher: Springer Science & Business Media

GET EBOOK

The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference c
BAIL 2008 - Boundary and Interior Layers
Language: en
Pages: 307
Authors: Alan Hegarty
Categories: Mathematics
Type: BOOK - Published: 2009-06-10 - Publisher: Springer Science & Business Media

GET EBOOK

These Proceedings contain a selection of the lectures given at the conference BAIL 2008: Boundary and Interior Layers – Computational and Asymptotic Methods,