Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices
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- by J. N. Lyness and G. Monegato PDF
- Math. Comp. 34 (1980), 213-225 Request permission
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.References
- J. N. Lyness, An error functional expansion for $N$-dimensional quadrature with an integrand function singular at a point, Math. Comp. 30 (1976), no. 133, 1–23. MR 408211, DOI 10.1090/S0025-5718-1976-0408211-0
- J. N. Lyness, Quadrature over a simplex. II. A representation for the error functional, SIAM J. Numer. Anal. 15 (1978), no. 5, 870–887. MR 507552, DOI 10.1137/0715057
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 34 (1980), 213-225
- MSC: Primary 65D32; Secondary 41A55, 41A60
- DOI: https://doi.org/10.1090/S0025-5718-1980-0551299-8
- MathSciNet review: 551299