Overview
- Editors:
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Terje O. Espelid
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Department of Informatics, University of Bergen, Bergen, Norway
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Alan Genz
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School of Electrical Engineering and Computer Science, Washington State University, Pullman, USA
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Table of contents (29 chapters)
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Numerical Integration Applications
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- Frank Stenger, Brian Keyes, Mike O’Reilly, Ken Parker
Pages 281-282
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Numerical Integration Algorithms and Software
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- Ricolindo Cariño, Ian Robinson, Elise De Doncker
Pages 295-304
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- Ronald Cools, Ann Haegemans
Pages 305-315
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- Elise de Doncker, John Kapenga
Pages 317-327
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- Marc Beckers, Ann Haegemans
Pages 329-340
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Back Matter
Pages 353-367
About this book
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.
Editors and Affiliations
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Department of Informatics, University of Bergen, Bergen, Norway
Terje O. Espelid
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School of Electrical Engineering and Computer Science, Washington State University, Pullman, USA
Alan Genz
