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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices


Authors: J. N. Lyness and G. Monegato
Journal: Math. Comp. 34 (1980), 213-225
MSC: Primary 65D32; Secondary 41A55, 41A60
MathSciNet review: 551299
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Abstract: In a previous paper by Lyness, an asymptotic expansion for the quadrature error functional for the n-dimensional simplex, valid when the integrand is an analytic function, was given. In this paper we develop the analogue of this result to cover the cases in which the integrand function has singularities of a specified nature at one or more vertices of the simplex.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1980-0551299-8
PII: S 0025-5718(1980)0551299-8
Article copyright: © Copyright 1980 American Mathematical Society