 2021

Source: Oxford Part A, A7 Numerical Analysis, A13759W1, 24 June 2021; parent PDF pages 128–131, paper pages 1–4. These original solutions cover all three questions, all nine lettered parts and all twenty-one answer units, including every optional question. Each question carries 25 marks; the examination counted the best two answers. The local truncation error in Question 3(a) is divided by the step size. In Question 3(c), the leading coefficient of a genuine $k$-step linear multistep method is understood to be nonzero.