## Preface
This book teils the story of 4 summer days in Shrivenham in 1988, when 88 people came to the Second International Conference on Aigorithms for Approximation at the Royal Military College of Science (RMCS) from July 12 to 15. Of course the book only teils part of the story. It cannot easily convey the good humour and very happy atmosphere that prevailed, and it does not catalogue the many friendships that were made, the excellent me als and refreshments that were enjoyed, and the plethora of social activities that took place.
The conference was organized for two main reasons. First, there were many requests for a Second Shrivenham Conference from those who attended the First in 1985. Secondly, it had clearly been established at the First Conference that there was a demand and need for a regular meeting which emphasized the algorithmic aspects and applications of approximation. There was also a continuing need for more conferences in the UK in the general area of approximation.
The meeting itself was run under the auspices of Cranfield Institute of Technology, of which RMCS is a faculty, and financial support was gratefully received from the US Air Force European Office of Aerospace Research and Development. The organizing cammittee was Maurice Cax (NPL) and Anne Daman and John Mason (RMCS), and the RMCS local organizers were very ably assisted by Elizabeth Smith and Pamela Moore. It was a lass to RMCS and to the conference organization when Anne Daman left early in 1988 to seek her fortune in the USA, but there were celebrations when she returned in July as Mrs Anne Trefethen to receive her Ph.D. degree and attend the conference with her husband.
The ten invited speakers, chosen by the organizing committee, covered a broad spectrum of topics and came from a wide range of countries. All of their papers appear in these proceedings.

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Algorithms for approximation III : based on the proceedings of the NATO Advanced Research Workshop on Algorithms for Approximation, held at Lady Margaret Hall, Oxford, July 1992

Algorithms for Approximation: 2 (Chapman Hall/CRC Mathematics Series)

Algorithms for approximation : 2nd International conference : Papers

Algarithms for approximation II. Based proc. 2 Intern. Conf.

J. C. Mason, M. G. Cox, International Conference on Algorithms for Approximation (2nd 1988 Royal Military College of Science, Shrivenham, England)

International Conference on Algorithms for Approximation (2nd 1988 Royal Military College of Science, Shrivenham, England), J. C. Mason, M. G. Cox

Cranfield Institute of Technology Royal Military College of Science

NATO Advanced Research Workshop on Algorithms for Approximation

edited by J.C. Mason and M.G. Cox

Mason J.C., Cox M.E. (eds.)

Mason, J.C., Cox, M.G.

Chapman and Hall; Chapman and Hall/CRC

International Thomson Computer Press

Cengage Learning EMEA

Thomson Learning

J.C. Baltzer

Numerical algorithms, Basel, Switzerland, 1993

United Kingdom and Ireland, United Kingdom

United States, United States of America

London, New York, England, 1990

London, United Kingdom, 1990

Boston, MA, 1990

June 1990

1, 1990

kolxoz -- 78

lg1503857

{"isbns":["0412345803","1489934421","9780412345807","9781489934420"],"last_page":519,"publisher":"Springer US"}

Includes bibliographical references.

Content:
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Constrained spline approximation of functions and data based on constrained knot removal....Pages 4-20
Near real-time spline fitting of long sequences of uniformly-spaced data....Pages 21-29
An algorithm for knot location in bivariate least squares spline approximation....Pages 30-36
A knot placement strategy for least squares spline fitting based on the use of local polynomial approximations....Pages 37-45
An algorithm for nonlinear splines with non-negativity constraints....Pages 46-53
Spline curve fitting of digitized contours....Pages 54-61
A B-spline approximation algorithm for quasi-interpolation or filtering....Pages 62-71
On knots and nodes for spline interpolation....Pages 72-77
A basis for certain spaces of multivariate polynomials and exponentials....Pages 80-98
Monotone piecewise cubic data fitting....Pages 99-106
Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators....Pages 107-116
Orthogonality and approximation in a Sobolev space....Pages 117-124
Piecewise polynomial approximation of polynomial curves....Pages 125-133
Calculation of the energy of a piecewise polynomial surface....Pages 134-143
Radial basis function interpolation on an infinite regular grid....Pages 146-169
The Fourier operator of even order and its application to an extremum problem in interpolation....Pages 170-176
On multivariate polynomial interpolation....Pages 177-184
Algorithms for the construction of data dependent triangulations....Pages 185-192
Algorithms for computing best parametric cubic interpolation....Pages 193-207
Data fitting by penalized least squares....Pages 210-227
Front Matter....Pages 1-1
A semiinfinite programming algorithm for constrained best approximation....Pages 228-235
Inference region for a method of local approximation by using the residuals....Pages 236-243
Numerical methods for Chebyshev approximation of complex-valued functions....Pages 246-264
A fast algorithm for linear complex Chebyshev approximation....Pages 265-273
Front Matter....Pages 275-275
Uniform subdivision algorithms for curves and surfaces....Pages 278-295
Approximation by spheres....Pages 296-302
Interpolation of scattered data on a spherical domain....Pages 303-310
Least squares best fit geometric elements....Pages 311-319
Uniform piecewise approximation on the sphere....Pages 320-333
Approximation theory and numerical linear algebra....Pages 336-360
An algorithm for computing minimum norm solutions of finite moment problem....Pages 361-368
Numerical solution of the biharmonic equation using different types of bivariate spline functions....Pages 369-376
Quadrature solution of integral equations: a uniform treatment of Fredholm and Volterra equations....Pages 377-386
Increasing the convergence modulus of an asymptotic expansion: an algorithm for numerical differentiation....Pages 387-394
Approximation and parameter estimation in ordinary differential equations....Pages 395-403
Constrained complex approximation algorithms in communication engineering....Pages 406-423
Integration of absolute amplitude from a decibel B-spline fit....Pages 424-448
A nonlinear least squares data fitting problem arising in microwave measurement....Pages 449-457
A complex minimax algorithm for phase-only adaptation in antenna arrays....Pages 458-465
A catalogue of algorithms for approximation....Pages 466-475
....Pages 479-514

A collection of papers which resulted from the proceedings of the Second International Conference on Algorithms for Approximation held at the Royal Military College of Science, Shrivenham. The volume is divided into the development of algorithms, applications and a catalogue of algorithms.

2016-05-22