Stokes’ theorem
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1: 1.6 Vectors and Vector-Valued Functions
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Stokes’s Theorem
…2: 2.7 Differential Equations
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►in which , are constants, the so-called Stokes multipliers.
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►For the calculation of Stokes multipliers see Olde Daalhuis and Olver (1995b).
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►For irregular singularities of nonclassifiable rank, a powerful tool for finding the asymptotic behavior of solutions, complete with error bounds, is as follows:
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Liouville–Green Approximation Theorem
…3: Bibliography B
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Stokes surfaces of diffraction catastrophes with codimension three.
Nonlinearity 3 (2), pp. 281–291.
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Overlapping Stokes smoothings: Survival of the error function and canonical catastrophe integrals.
Proc. Roy. Soc. London Ser. A 444, pp. 201–216.
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Waves and Thom’s theorem.
Advances in Physics 25 (1), pp. 1–26.
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Uniform asymptotic smoothing of Stokes’s discontinuities.
Proc. Roy. Soc. London Ser. A 422, pp. 7–21.
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Stieltjes transforms and the Stokes phenomenon.
Proc. Roy. Soc. London Ser. A 429, pp. 227–246.
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