Gauss points and weights table
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Because the integration limits are the “standard” limits (− 1, 1) of Gauss-Legendre quadrature, the weights and the coordinates of the integration points are as listed in Table 6.3. To apply quadrature to the quadrilateral element in Figure 6.7(b), we must first map the quadrilateral into the “standard” rectangle in Figure 6.7(a). The rule is given in decimal format in the following table i Wi Xi 1 1.000000000000000 -0.577350269189626 2 1.000000000000000 0.577350269189626 www.numerical-methods.com. Example of a 2 point Gaussian quadrature Let us use the 2 point Gaussian quadrature rule to find Given the domain of [0,1], the weights are to 6 decimal places.
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In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration.