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\newcommand{\uex}{{u_{\small\mbox{e}}}} \newcommand{\vex}{{v_{\small\mbox{e}}}} \newcommand{\half}{\frac{1}{2}} \newcommand{\tp}{\thinspace .} \newcommand{\Oof}[1]{\mathcal{O}(#1)}

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Exact solutions of the finite difference equations

How does the truncation error depend on \uex in finite differences?

Consequence: Problem: harmonic and geometric mean (error depends on \uex' and \uex )

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