acceleration of convergence
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11: 2.11 Remainder Terms; Stokes Phenomenon
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►Even when the series converges this is unwise: the tail needs to be majorized rigorously before the result can be guaranteed.
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►The transformations in §3.9 for summing slowly convergent series can also be very effective when applied to divergent asymptotic series.
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►Similar improvements are achievable by Aitken’s -process, Wynn’s -algorithm, and other acceleration transformations.
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►For example, extrapolated values may converge to an accurate value on one side of a Stokes line (§2.11(iv)), and converge to a quite inaccurate value on the other.