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Approximation Algorithms for Complex Systems

Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009

  • Conference proceedings
  • © 2011

Overview

Editors:
  1. Emmanuil H Georgoulis

    1. , Dept. of Mathematics, University of Leicester, Leicester, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  2. Armin Iske

    1. Abt. Mathematik, Universität Hamburg, Hamburg, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Jeremy Levesley

    1. Dept. Mathematics and, Computer Science, University of Leicester, Leicester, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  • Up-to-date papers from world experts in a broad variety of relevant applications of approximation theory
  • Valuable volume for graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms
  • Interesting new approaches to solving familiar but challenging problems for established researchers from statisticians through to fluid modelers
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 3)

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Table of contents (14 papers)

  1. Front Matter

    Pages i-x
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  2. Invited Surveys

    1. Front Matter

      Pages 11-11
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    2. Emergent Behaviour in Large Electrical Networks

      • Darryl P. Almond, Chris J. Budd, Nick J. McCullen
      Pages 3-26

    3. Algorithms and Error Bounds for Multivariate Piecewise Constant Approximation

      • Oleg Davydov
      Pages 27-45

    4. Anisotropic Triangulation Methods in Adaptive Image Approximation

      • Laurent Demaret, Armin Iske
      Pages 47-68

    5. Form Assessment in Coordinate Metrology

      • Alistair B. Forbes, Hoang D. Minh
      Pages 69-90

    6. Discontinuous Galerkin Methods for Linear Problems: An Introduction

      • Emmanuil H. Georgoulis
      Pages 91-126

    7. A Numerical Analyst’s View of the Lattice Boltzmann Method

      • Jeremy Levesley, Alexander N. Gorban, David Packwood
      Pages 127-150

    8. Approximating Probability Measures on Manifolds via Radial Basis Functions

      • Jeremy Levesley, Xingping Sun
      Pages 151-180

  3. Contributed Research Papers

    1. Front Matter

      Pages 181-181
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    2. Modelling Clinical Decay Data Using Exponential Functions

      • Maurice G. Cox
      Pages 183-203

    3. Towards Calculating the Basin of Attraction of Non-Smooth Dynamical Systems Using Radial Basis Functions

      • Peter Giesl
      Pages 205-225

    4. Stabilizing Lattice Boltzmann Simulation of Fluid Flow past a Circular Cylinder with Ehrenfests’ Limiter

      • Tahir S. Khan, Jeremy Levesley
      Pages 227-239

    5. Fast and Stable Interpolation of Well Data Using the Norm Function

      • Brian Li, Jeremy Levesley
      Pages 241-253

    6. Algorithms and Literate Programs for Weighted Low-Rank Approximation with Missing Data

      • Ivan Markovsky
      Pages 255-273

    7. On Bivariate Interpolatory Mask Symbols, Subdivision and Refinable Functions

      • A. Fabien Rabarison, Johan de Villiers
      Pages 275-292

    8. Model and Feature Selection in Metrology Data Approximation

      • Xin-She Yang, Alistair B. Forbes
      Pages 293-307
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Keywords

About this book

This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

Editors and Affiliations

  • , Dept. of Mathematics, University of Leicester, Leicester, United Kingdom

    Emmanuil H Georgoulis

  • Abt. Mathematik, Universität Hamburg, Hamburg, Germany

    Armin Iske

  • Dept. Mathematics and, Computer Science, University of Leicester, Leicester, United Kingdom

    Jeremy Levesley

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