# On the computation of solutions of boundary value problems on infinite intervals

R.M.M. Mattheij

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6 Citations (Scopus)

## Abstract

For solutions of linear boundary value problems defined on $\lbrack0, \infty)$ one has to study the stable or bounded solution manifold. A characterization of these manifolds is investigated here. A multiple shooting type algorithm is then developed to compute such solutions. This algorithm is fully adaptive and also covers problems where the ODE matrix does not tend to a limit (as is usually assumed), if the unstable manifold consists only of exponentially growing solutions. If the latter manifold also contains polynomially growing solutions, an extrapolation type approach is suggested. The theory is illustrated by a number of examples.
Original language English 533-549 17 Mathematics of Computation 48 178 https://doi.org/10.2307/2007826 Published - 1987

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