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Proceedings of the American Mathematical Society

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The propagation of error in numerical integrations


Author: Mark Lotkin
Journal: Proc. Amer. Math. Soc. 5 (1954), 869-887
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/S0002-9939-1954-0066765-8
Erratum: Proc. Amer. Math. Soc. 6 (1955), 1001-1001.
MathSciNet review: 0066765
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References [Enhancements On Off] (What's this?)

  • [1] L. H. Thomas, Stability of solution of partial differential equations, Symposium on Theoretical Compressible Flow, U. S. Naval Ordnance Laboratory, 1949, pp. 83-94. MR 0038140 (12:361h)
  • [2] H. Rutishauser, Über die Instabilität von Methoden zur Integration von Differentialgleichungen, ZAMP vol. 3 (1952) pp. 65-74. MR 0046146 (13:692b)
  • [3] H. Rademacher, On the accumulation of errors in processes of integration, Proceedings, Symposium on Large-Scale Digital Calculating Machines, Harvard Computation Laboratory, 1948, pp. 176-185.
  • [4] R. A. Frazer, W. J. Duncan, A. R. Collar, Elementary matrices, Cambridge University Press, 1950, p. 78.

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DOI: https://doi.org/10.1090/S0002-9939-1954-0066765-8
Article copyright: © Copyright 1954 American Mathematical Society

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