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Boolean methods in interpolation and approximation

Boolean methods in interpolation and approximation BOOK REVIEWS 297 What you will not find there are the recipes for generating all the processes involved. But we cannot have it all, can we? Facultad de Ciencias, UCK HENRYK GZYL Caracas, Venezuela F.-J. Delvos and W Schempp: Boolean Methods in Interpolation and Approximation, Longman Scientific and Technical, Harlow, Essex, U.K., 1989, 168 pp., £17.50, ISBN 0-582-06263-2. From the foreword: Multivariate interpolation and approximation have many important applications in the field of applied mathematics. As particular topics we mention the finite element method and computer aided geometric design. In the finite element method multivariate interpolation is used to construct sufficiently smooth piecewise polynomial function spaces with respect to a given triangulation of a domain where the variational problem connected with a boundary value problem has to be solved approximately. Computer aided geometric design is concerned with the construction of smooth surfaces which interpolate given curve networks. To solve this problem for the special case of rectangular patch Gordon introduced the method of blending interpolation. He also started the investigation of the Boolean algebraic background of blending interpolation. It is the objective of this book to study the mathematical background of blending interpolation with respect to functional analysis and http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Boolean methods in interpolation and approximation

Acta Applicandae Mathematicae , Volume 23 (3) – May 3, 2004
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Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF00047142
Publisher site
See Article on Publisher Site

Abstract

BOOK REVIEWS 297 What you will not find there are the recipes for generating all the processes involved. But we cannot have it all, can we? Facultad de Ciencias, UCK HENRYK GZYL Caracas, Venezuela F.-J. Delvos and W Schempp: Boolean Methods in Interpolation and Approximation, Longman Scientific and Technical, Harlow, Essex, U.K., 1989, 168 pp., £17.50, ISBN 0-582-06263-2. From the foreword: Multivariate interpolation and approximation have many important applications in the field of applied mathematics. As particular topics we mention the finite element method and computer aided geometric design. In the finite element method multivariate interpolation is used to construct sufficiently smooth piecewise polynomial function spaces with respect to a given triangulation of a domain where the variational problem connected with a boundary value problem has to be solved approximately. Computer aided geometric design is concerned with the construction of smooth surfaces which interpolate given curve networks. To solve this problem for the special case of rectangular patch Gordon introduced the method of blending interpolation. He also started the investigation of the Boolean algebraic background of blending interpolation. It is the objective of this book to study the mathematical background of blending interpolation with respect to functional analysis and

Journal

Acta Applicandae Mathematicae – Springer Journals

Published: May 3, 2004

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