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Suppose that A(h) is an estimation of order hn for

is called the Richardson extrapolate of A(h);

it is an estimate of order  hm for A, with m>n.

More generally, the factor 2 can be replaced by any other factor, as shown below.

Very often, it is much éasier to obtain a given precision by using R(h) rather

than A(h') with a much smaller  h' , which can cause problems due to limited precision (rounding errors) and/or due to the incréasing number of calculations needed (see examples below).