Numerical Integration: Recent Developments, Software and Applications by T.O. Espelid, Paperback | Barnes & Noble
Numerical Integration: Recent Developments, Software and Applications

Numerical Integration: Recent Developments, Software and Applications

by T.O. Espelid
     
 

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This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Develop­ ments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were

Overview

This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Develop­ ments, Software and Applications', held at the University of Bergen, Bergen, Norway, June 17-21,1991. The Workshop was attended by thirty-eight scientists. A total of eight NATO countries were represented. Eleven invited lectures and twenty-three contributed lectures were presented, of which twenty-five appear in full in this volume, together with three extended abstracts and one note. The main focus of the workshop was to survey recent progress in the theory of methods for the calculation of integrals and show how the theoretical results have been used in software development and in practical applications. The papers in this volume fall into four broad categories: numerical integration rules, numerical integration error analysis, numerical integration applications and numerical integration algorithms and software. It is five years since the last workshop of this nature was held, at Dalhousie University in Halifax, Canada, in 1986. Recent theoretical developments have mostly occurred in the area of integration rule construction. For polynomial integrating rules, invariant theory and ideal theory have been used to provide lower bounds on the numbers of points for different types of multidimensional rules, and to help in structuring the nonlinear systems which must be solved to determine the points and weights for the rules. Many new optimal or near optimal rules have been found for a variety of integration regions using these techniques.

Editorial Reviews

Booknews
The 25 papers and long abstracts of three others survey recent progress in the theory of methods for the calculation of integrals, and how the theoretical results have been used in software development and in practical applications. They cover the broad categories of rules, error analysis, applications, and algorithms and software. Particular topics include cubature formulae construction, handling singularities in finite elements, statistical applications, lattice rules, and error bounds. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9789401051699
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
NATO Science Series C: (closed), #357
Edition description:
Softcover reprint of the original 1st ed. 1992
Pages:
367
Product dimensions:
6.30(w) x 9.45(h) x 0.03(d)

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