I am trying to find the expression of the weights and nodes for the Gauss-Lobatto quadratures with 4 nodes.
I am guessing this is a sum of weights? Does anyone here have experience working with this type of math?
I am trying to find the expression of the weights and nodes for the Gauss-Lobatto quadratures with 4 nodes.
I am guessing this is a sum of weights? Does anyone here have experience working with this type of math?
Straight from Wolfram Mathworld:
Nodes: $x_1 = -1, x_2 = - \frac{1}{\sqrt{5}}, x_3 = - x_2 = \frac{1}{\sqrt{5}}, x_4 = -x_1 = 1$
Weights: $ w_1 = \frac{5}{6} = w_4, w_2 = \frac{1}{6} = w_3$.