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Numerical Analysis II, Exam End Term Spring 2017
... − y| for ∀x, y ∈ R, ∀t ∈ [ 0, T ]. We use the following numerical scheme for (1.1): xk+ 1 = xk− 1 + 2∆tf ... data x0, x1 and x˜ 0, x˜ 1. Prove by induction that |xk − x˜k| ≤ C max{|x0 − x˜ 0|, |x1 − x˜ 1 ... − y| for ∀x, y ∈ R, ∀t ∈ [ 0, T ]. We use the following numerical scheme for (1.1): xk+ 1 = xk− 1 + 2∆tf ... data x0, x1 and x˜ 0, x˜ 1. Prove by induction that |xk − x˜k| ≤ C max{|x0 − x˜ 0|, |x1 − x˜ 1 ...
