Algorithms for Approximation

Proceedings of the 5th International Conference, Chester, July 2005

By: Armin Iske (Editor), Jeremy Levesley (Editor)

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Hardcover | 30 October 2006

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404 Pages

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23.5 x 15.88 x 1.91

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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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Imaging and Data Mining
Ranking as Function Approximation	p. 3
Two Algorithms for Approximation in Highly Complicated Planar Domains	p. 19
Computational Intelligence in Clustering Algorithms, With Applications	p. 31
Energy-Based Image Simplification with Nonlocal Data and Smoothness Terms	p. 51
Multiscale Voice Morphing Using Radial Basis Function Analysis	p. 61
Associating Families of Curves Using Feature Extraction and Cluster Analysis	p. 71
Numerical Simulation
Particle Flow Simulation by Using Polyharmonic Splines	p. 83
Enhancing SPH using Moving Least-Squares and Radial Basis Functions	p. 103
Stepwise Calculation of the Basin of Attraction in Dynamical Systems Using Radial Basis Functions	p. 113
Integro-Differential Equation Models and Numerical Methods for Cell Motility and Alignment	p. 123
Spectral Galerkin Method Applied to Some Problems in Elasticity	p. 135
Statistical Approximation Methods
Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems	p. 147
Algorithms for Structured Gauss-Markov Regression	p. 167
Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology	p. 187
Data Fitting and Modelling
Integral Interpolation	p. 199
Shape Control in Powell-Sabin Quasi-Interpolation	p. 219
Approximation with Asymptotic Polynomials	p. 241
Spline Approximation Using Knot Density Functions	p. 249
Neutral Data Fitting by Lines and Planes	p. 259
Approximation on an Infinite Range to Ordinary Differential Equations Solutions by a Function of a Radial Basis Function	p. 269
Weighted Integrals of Polynomial Splines	p. 279
Differential and Integral Equations
On Sequential Estimators for Affine Stochastic Delay Differential Equations	p. 287
Scalar Periodic Complex Delay Differential Equations: Small Solutions and their Detection	p. 297
Using Approximations to Lyapunov Exponents to Predict Changes in Dynamical Behaviour in Numerical Solutions to Stochastic Delay Differential Equations	p. 309
Superconvergence of Quadratic Spline Collocation for Volterra Integral Equations	p. 319
Special Functions and Approximation on Manifolds
Asymptotic Approximations to Truncation Errors of Series Representations for Special Functions	p. 331
Strictly Positive Definite Functions on Generalized Motion Groups	p. 349
Energy Estimates and the Weyl Criterion on Compact Homogeneous Manifolds	p. 359
Minimal Discrete Energy Problems and Numerical Integration on Compact Sets in Euclidean Spaces	p. 369
Numerical Quadrature of Highly Oscillatory Integrals Using Derivatives	p. 379
Index	p. 387
Table of Contents provided by Ingram. All Rights Reserved.

Algorithms for Approximation

Proceedings of the 5th International Conference, Chester, July 2005

At a Glance

Hardcover

Shipping

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