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\newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\Aex}{{A_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\Oof}[1]{\mathcal{O}(#1)}

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Implementation of the norm of the error

E = ||e^n||_{\ell^2} = \sqrt{\Delta t\sum_{n=0}^{N_t} (e^n)^2}

Python w/array arithmetics:

e = exact_solution(t) - u
E = sqrt(dt*sum(e**2))

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