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On the calculation of Stokes multipliers for linear differential equations of the second order. (English) Zbl 0838.34006
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:
34M99Differential equations in the complex domain
65D30Numerical integration
34E05Asymptotic expansions (ODE)
34A30Linear ODE and systems, general