A simple extrapolation method

B. L. Burrows; M. Cohen

doi:10.1016/0009-2614(95)00255-3

A simple extrapolation method

B. L. Burrows^*, M. Cohen

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We derive and illustrate an extrapolation formula, suitable for monotonic data, which appears competitive with Aitken's classic δ² method. A brief error analysis is given which exemplifies the type of sequence for which the formula is most useful. The examples given include sequences of lower bounds to the eigenvalues of one-dimensional Schrödinger equations.

Original language	English
Pages (from-to)	451-456
Number of pages	6
Journal	Chemical Physics Letters
Volume	236
Issue number	4-5
DOIs	https://doi.org/10.1016/0009-2614(95)00255-3
State	Published - 21 Apr 1995

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abstract = "We derive and illustrate an extrapolation formula, suitable for monotonic data, which appears competitive with Aitken's classic δ2 method. A brief error analysis is given which exemplifies the type of sequence for which the formula is most useful. The examples given include sequences of lower bounds to the eigenvalues of one-dimensional Schr{\"o}dinger equations.",

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AB - We derive and illustrate an extrapolation formula, suitable for monotonic data, which appears competitive with Aitken's classic δ2 method. A brief error analysis is given which exemplifies the type of sequence for which the formula is most useful. The examples given include sequences of lower bounds to the eigenvalues of one-dimensional Schrödinger equations.

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A simple extrapolation method

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