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Table 1 The basic one-dimensional quadrature rule for cubic B-splines.

in unknown title
by unknown authors 2000
"... In PAGE 19: ... A too small number of quadrature points leads to instabilities, in particular, when the quadrature points are not properly spaced; a high polynomial accuracy alone does not suffice. For the tensor- product third order B-splines described at the beginning of section 2, we had good experience with the tensor-product counterpart of the one-dimensional quadrature rule given by Table1 . This quadrature formula is exact for fifth order polynomials and assigns 52 or n = 25 quadrature points to each particle in two space dimensions.... ..."
Cited by 7

Table 6: Number of Mega-#0Dops for Di#0Berent Quadrature Rules and Preconditioners

in Conjugate Gradient Methods for Toeplitz systems
by Raymond H. Chan, Michael K. Ng, Tr-cs-- Douglas, R. Sweet, Raymond H. Chan Y 1996
"... In PAGE 54: ...31#29. Table6 gives the numbers of mega-#0Dops used to achieve a given accuracy #0F #28i.e.... ..."
Cited by 95

Table 7: Values computed from Gaussian quadrature rules (n = 10, = 100%)

in Numerical Valuation of High Dimensional Multivariate European Securities
by Jerome Barraquand
"... In PAGE 33: ...he exact same number of samples as the Lobatto rule, i.e. 2047 in this case. The results from Table7 show that both Gaussian rules are very inaccurate for pricing problems with high volatilities and low correlations. The error is in most cases over 5%, and exceeds 10% on several examples, while the standard error of Method 4 remains under 0:5% for 2047 samples.... ..."

Table 1: Barycentric coordinates and weights of the seven point Gauss quadrature rule for triangles, where a =

in Interaction of Fluids with Deformable Solids
by Matthias Müller, Simon Schirm, Matthias Teschner, Bruno Heidelberger, Markus Gross 2004
Cited by 17

Table II. Reconstruction geometry factors for various control volume shapes utilizing midpoint quadrature rule.

in Finite Volume Methods: Foundation and Analysis
by Timothy Barth, Mario Ohlberger 2004
Cited by 6

Table 9: Values computed from Gaussian quadrature rules (n = 5, = 100%)

in Numerical Valuation of High Dimensional Multivariate European Securities
by Jerome Barraquand
"... In PAGE 33: ...ule, i.e. 63 in this case. The error reported in Table9 (high volatilities) ranges from 5% Research Report No. 26... ..."

Table 3.1 Correspondencebetween quadrature rules for BD nite elements and RK methods.

in National Aeronautics and
by Space Administration Langley, Riccardo Sacco, Politecnico Di Milano, Carlo L. Bottasso, Carlo L. Bottasso, Stefano Micheletti, Stefano Micheletti

Table 3.1 Value for the bound in (3.5) for difierent compound quadrature rules.

in GENERAL LINEAR METHODS FOR VOLTERRA
by Chengjian Zhang, Stefan Vandewalle

Table 7: Values computed from Gaussian quadrature rules (n n3d 10, n1b n3d 100%)

in Publication Notes The author can be contacted at the following address:
by Jérôme Barraquand, Jérôme Barraquand, Jérôme Barraquand 1993
"... In PAGE 35: ...he exact same number of samples as the Lobatto rule, i.e. 2047 in this case. The results from Table7 show that both Gaussian rules are very inaccurate for pricing problems with high volatilities and low correlations. The error is in most cases over 5%, and exceeds 10%on several examples, while the standard error of Method 4 remains under 0n3a5% for 2047 samples.... ..."

Table 9: Values computed from Gaussian quadrature rules (n n3d 5, n1b n3d 100%)

in Publication Notes The author can be contacted at the following address:
by Jérôme Barraquand, Jérôme Barraquand, Jérôme Barraquand 1993
"... In PAGE 35: ...ule, i.e. 63 in this case. The error reported in Table9 (high volatilities) ranges from 5% Research Report No. 26... ..."
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