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Thirteen ways to estimate global error

  • Numerical Approximation of Transverse Shearing Stress in Bent Plates
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Summary

Various techniques that have been proposed for estimating the accumulated discretization error in the numerical solution of differential equations, particularly ordinary differential equations, are classified, described, and compared. For most of the schemes either an outline of an error analysis is given which explains why the scheme works or a weakness of the scheme is illustrated.

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Authors and Affiliations

  1. Department of Computer Science, University of Illinois at Urbana-Champaign, (240 Digital Computer Laboratory, 1304 W. Springfield Avenue), 61801, Urbana, Illinois, USA

    Robert D. Skeel

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This research is partially supported by NSF Grant No. MCS-8107046

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Skeel, R.D. Thirteen ways to estimate global error. Numer. Math. 48, 1–20 (1986). https://doi.org/10.1007/BF01389440

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