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Correction of Numerov's eigenvalue estimates (1985)

Andrew, Alan L. ; Paine, John W.

Springer

Numerische Mathematik 47 (1985), S. 289-300

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ISSN: 0945-3245

Keywords: AMS(MOS): 65L15 ; CR: G1.7

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary The error in the estimate of thekth eigenvalue of a regular Sturm-Liouville problem obtained by Numerov's method with mesh lengthh isO(k 6 h 4). We show that a simple correction technique of Paine, de Hoog and Anderssen reduces the error to one ofO(k 3 h 4). Numerical examples demonstrate the usefulness of this correction even for low values ofk.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01389712

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