Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function

Recent efforts have been focused on using numerical methods to estimate the Titchmarsh–Weyl m-coefficient. In this paper we look at interval analytic methods to provide provable bounds for these values.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1993-05, Vol.113 (3), p.583-599
Hauptverfasser: Brown, B. M., Kirby, V. G., Evans, W. D., Plum, M.
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container_title Mathematical proceedings of the Cambridge Philosophical Society
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creator Brown, B. M.
Kirby, V. G.
Evans, W. D.
Plum, M.
description Recent efforts have been focused on using numerical methods to estimate the Titchmarsh–Weyl m-coefficient. In this paper we look at interval analytic methods to provide provable bounds for these values.
doi_str_mv 10.1017/S0305004100076222
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source Cambridge University Press Journals Complete
subjects Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
title Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function
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