Algorithms for Approximation: Proceedings of the 5th International Conference, Chester, July 2005 / Edition 1

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Approximation methods are vital in many challenging applications of computational science and engineering.

This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing.

It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems.

An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales.

Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.

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Product Details

  • ISBN-13: 9783642069949
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 11/9/2010
  • Edition description: Softcover reprint of hardcover 1st ed. 2007
  • Edition number: 1
  • Pages: 389
  • Product dimensions: 0.83 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Part I Imaging and Data Mining

Ranking as Function Approximation - Christopher J.C. Burges
Two Algorithms for Approximation in Highly Complicated Planar Domains - Nira Dyn, Roman
Computational Intelligence in Clustering Algorithms, With Applications - Rui Xu, Donald Wunsch
II Energy-Based Image Simplification with Nonlocal Data and Smoothness Terms – Stephan Didas, Pavel Mŕazek, Joachim Weickert
Multiscale Voice Morphing Using Radial Basis Function Analysis -
Christina Orphanidou, Irene M. Moroz, Stephen J. Roberts
Associating Families of Curves Using Feature Extraction and Cluster Analysis -
Jane L. Terry, Andrew Crampton, Chris J. Talbot

Part II Numerical Simulation

Particle Flow Simulation by Using Polyharmonic Splines - Armin Iske
Enhancing SPH using Moving Least-Squares and Radial Basis Functions -
Robert Brownlee, Paul Houston, Jeremy Levesley, Stephan Rosswog
Stepwise Calculation of the Basin of Attraction in Dynamical Systems Using Radial Basis Functions - Peter Giesl
Integro-Differential Equation Models and Numerical Methods for Cell Motility and Alignment - Athena Makroglou
Spectral Galerkin Method Applied to Some Problems in Elasticity - Chris J. Talbot

Part III Statistical Approximation Methods

Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems -Chris L. Farmer
Algorithms for Structured Gauss-Markov Regression - Alistair B. Forbes
Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology -
Daniel Busby, Chris L. Farmer, Armin Iske

Part IV Data Fitting and Modelling

Integral Interpolation - Rick K. Beatson, Michael K. Langton
Shape Control in Powell-Sabin Quasi-Interpolation - Carla Manni
Approximation with Asymptotic Polynomials –
Philip Cooper, Alistair B. Forbes, John C. Mason
Spline Approximation Using Knot Density Functions - Andrew Crampton, Alistair B. Forbes
Neutral Data Fitting by Lines and Plane - Tim Goodman, Chris Tofallis
Approximation on an Infinite Range to Ordinary Differential Equations Solutions by a Function of a Radial Basis Function - Damian P. Jenkinson, John C. Mason
Weighted Integrals of Polynomial Splines - Mladen Rogina

Part V Differential and Integral Equations

On Sequential Estimators for an Affine Shastic Delay Differential Equations -
Uwe Küchler, Vyacheslav Vasiliev
Scalar Periodic Complex Delay Differential Equations: Small Solutions and their Detection - Neville J. Ford, Patricia M. Lumb
Using Approximations to Lyapunov Exponents to Predict Changes in Dynamical Behaviour in Numerical Solutions to Shastic Delay Differential Equations –
Neville J. Ford, Stewart J. Norton
Superconvergence of Quadratic Spline Collocation for Volterra Integral Equations - Darja Saveljeva

Part VI Special Functions and Approximation on Manifolds

Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions - Ernst Joachim Weniger
Strictly Positive Definite Functions on Generalized Motion Groups –
Wolfgang zu Castell, Frank Filbir -
Energy Estimates and the Weyl Criterion on Compact Homogeneous Manifolds -
Steven B. Damelin, Jeremy Levesley, Xingping Sun
Minimal Discrete Energy Problems and Numerical Integration on Compact Sets in Euclidean Spaces - Steven B. Damelin, Viktor Maymeskul
Numerical Quadrature of Highly Oscillatory Integrals Using Derivatives -
Sheehan Olver


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