 Solution

ID: past-exam-of-the-numerical-analysis-course-of-the-university-of-oxford/2017/1/d/ii/solution

q = 3

Q (g) = \frac{1 + 1/2}{36} = \frac{1}{24} = I (g) .

The

y

factor is now a cubic polynomial. Simpson's rule still integrates it exactly because its degree of precision of a quadrature rule is three. Exactness of tensor-product quadrature depends on the polynomial degree in each variable, rather than their sum.

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