Approximation methods are of vital importance in many challenging applications
from computational science and engineering. This book collects papers
from world experts in a broad variety of relevant applications of approximation
theory, including pattern recognition and machine learning, multiscale modelling
of fluid flow, metrology, geometric modelling, the solution of differential
equations, and signal and image processing, to mention a few.
The 30 papers in this volume document new trends in approximation
through recent theoretical developments, important computational aspects
and multidisciplinary applications, which makes it a perfect text for graduate
students and researchers from science and engineering who wish to understand
and develop numerical algorithms for solving their specific problems. An important
feature of the book is to bring together modern methods from statistics,
mathematical modelling and numerical simulation for solving relevant
problems with a wide range of inherent scales. Industrial mathematicians, including
representatives from Microsoft and Schlumberger make contributions,
which fosters the transfer of the latest approximation methods to real-world
applications.
This book grew out of the fifth in the conference series on Algorithms
for Approximation, which took place from 17th to 21st July 2005, in the
beautiful city of Chester in England. The conference was supported by the
National Physical Laboratory and the London Mathematical Society, and had
around 90 delegates from over 20 different countries.
