Abstract
In a domain with finitely many cylindrical ends at infinity, we consider dissipative and formally selfadjoint elliptic problems for systems of differential equations of arbitrary order. As is known, one can regard cylindrical ends as waveguides and introduce families of incoming and outgoing waves. The amplitudes of such waves can grow at infinity at power or even exponential rate. The scattering matrices account finitely many waves. We suggest and justify a numerical method for finding such scattering matrices. Bibliography: 18 titles.
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