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Positivity for explicit two-step methods in linear multistep and one-leg form

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Abstract

Positivity results are derived for explicit two-step methods in linear multistep form and in one-leg form. It turns out that, using the forward Euler starting procedure, the latter form allows a slightly larger step size with respect to positivity.

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Authors and Affiliations

  1. CWI, P.O. Box 94079, 1090 GB, Amsterdam, The Netherlands

    N. N. Pham Thi, W. Hundsdorfer & B. P. Sommeijer

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  1. N. N. Pham Thi
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  2. W. Hundsdorfer
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  3. B. P. Sommeijer
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Correspondence to N. N. Pham Thi.

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AMS subject classification (2000)

65L06

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Pham Thi, N., Hundsdorfer, W. & Sommeijer, B. Positivity for explicit two-step methods in linear multistep and one-leg form . Bit Numer Math 46, 875–882 (2006). https://doi.org/10.1007/s10543-006-0104-x

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  • DOI: https://doi.org/10.1007/s10543-006-0104-x

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