Re: [math] On MATH-995: Problems with LegendreGaussQuadrature class.

2013-07-03 Thread Ajo Fod
I agree that the choice of quadrature rules is orthogonal to Adaptive strategy. But, can one quadrature rule be more efficient than another by points evaluated per digit of accuracy? It seems like in GKQ, the G and K nodes are different points at each level of resolution. However in CCQ, the high

Re: [math] On MATH-995: Problems with LegendreGaussQuadrature class.

2013-07-03 Thread Gilles
On Wed, 3 Jul 2013 07:39:00 -0700, Ajo Fod wrote: I wonder if Clenshaw-Curtis Quadrature (CCQ) is more adapted for Adaptive Quadrature than Gauss-Kronrod (GKQ). As Konstantin already pointed out, the choice of a quadrature rule is orthogonal to the choice of an adaptive strategy. It seems l

Re: [math] On MATH-995: Problems with LegendreGaussQuadrature class.

2013-07-03 Thread Ajo Fod
I wonder if Clenshaw-Curtis Quadrature (CCQ) is more adapted for Adaptive Quadrature than Gauss-Kronrod (GKQ). It seems like with CCQ the points at one level of resolution can be reused for the next level. The error bounds for a given level of resolution is the comparable to GKQ, so I'm guessing t