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11: 6.12 Asymptotic Expansions
For re-expansions of the remainder term leading to larger sectors of validity, exponential improvement, and a smooth interpretation of the Stokes phenomenon, see §§2.11(ii)2.11(iv), with p = 1 . …
12: 36.4 Bifurcation Sets
The + sign labels the cusped sheet; the - sign labels the sheet that is smooth for z 0 (see Figure 36.4.4). …
13: Bibliography B
  • M. V. Berry and C. J. Howls (1994) Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals. Proc. Roy. Soc. London Ser. A 444, pp. 201–216.
  • M. V. Berry (1989) Uniform asymptotic smoothing of Stokes’s discontinuities. Proc. Roy. Soc. London Ser. A 422, pp. 7–21.
  • M. V. Berry (1991) Infinitely many Stokes smoothings in the gamma function. Proc. Roy. Soc. London Ser. A 434, pp. 465–472.
  • 14: 7.12 Asymptotic Expansions
    For re-expansions of the remainder terms leading to larger sectors of validity, exponential improvement, and a smooth interpretation of the Stokes phenomenon, see §§2.11(ii)2.11(iv) and use (7.11.3). …
    15: 2.11 Remainder Terms; Stokes Phenomenon
    Where should the change-over take place? Can it be accomplished smoothly? …
    16: Bibliography
  • V. I. Arnol’d (1975) Critical points of smooth functions, and their normal forms. Uspehi Mat. Nauk 30 (5(185)), pp. 3–65 (Russian).
  • 17: 36.5 Stokes Sets
    This consists of a cusp-edged sheet connected to the cusp-edged sheet of the bifurcation set and intersecting the smooth sheet of the bifurcation set. …
    18: 3.11 Approximation Techniques
    By taking more derivatives into account, the smoothness of the spline will increase. …