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Fig. 6

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Maximum relative true error Eτ) calculated as a function of the uniform grid spacing Δτ, using different formal solvers. Solid line: our BESSER method. Dotted line: quadratic Bézier with the derivative at point O calculated using the expression given by Fritsch & Butland (1984) (see also Eq. (12) of Auer 2003). Dashed line: as in the previous method, but applying the cM overshoot correction (see Eq. (11) of Auer 2003). Dashed-dotted line: standard SC method with linear interpolation. Three-dotted-dashed line: standard SC method with parabolic interpolation.

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