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Numerical Integration - Recent Developments, Software and Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
Loot Price: R1,436
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Numerical Integration - Recent Developments, Software and Applications (Paperback, Softcover reprint of the original 1st ed. 1992)
Series: NATO Science Series C, 357
Expected to ship within 18 - 22 working days
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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 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."
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