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Error Estimation for Nordsieck Methods

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Abstract

The local discretization errors of general linear methods depend on the sequence of all stepsize ratios and the derivation of the exact formulas for the corresponding error estimates does not seem to be practical. In this paper we will describe an approach in which the estimates of local discretization errors are evaluated numerically as the computation proceeds from step to step.

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Authors and Affiliations

  1. Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand

    J.C. Butcher

  2. Department of Mathematics, Arizona State University, Tempe, Arizona, 85287, USA

    Z. Jackiewicz

Authors
  1. J.C. Butcher
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  2. Z. Jackiewicz
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Butcher, J., Jackiewicz, Z. Error Estimation for Nordsieck Methods. Numerical Algorithms 31, 75–85 (2002). https://doi.org/10.1023/A:1021152005287

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  • DOI: https://doi.org/10.1023/A:1021152005287

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