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

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

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 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 =

2004

Cited by 17

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

2004

Cited by 6

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

"... 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.

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

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

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%)

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... ..."