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Zbl 0838.34006
Olde Daalhuis, A.B.; Olver, F.W.J.
On the calculation of Stokes multipliers for linear differential equations of the second order. (English)
[J] Methods Appl. Anal. 2, No.3, 348-367 (1995). ISSN 1073-2772

Summary: Two new methods are described for the computation of connection coefficients for the asymptotic solutions of linear second-order differential equations having an irregular singularity of arbitrary rank. The first method is based on new asymptotic expansions of the higher coefficients in the asymptotic solutions. The second method is based on direct numerical solution of the differential equation. Numerical examples are included.

MSC 2000:: *34M99 Differential equations in the complex domain
65D30 Numerical integration
34E05 Asymptotic expansions (ODE)
34A30 Linear ODE and systems

Keywords: calculation of Stokes multipliers; numerical examples; computation of connection coefficients; asymptotic solutions; linear second-order differential equations; irregular singularity

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