Analysis of stepsize selection schemes for Runge-Kutta codes

Hall, G. and Higham, D.J. (1988) Analysis of stepsize selection schemes for Runge-Kutta codes. IMA Journal of Numerical Analysis, 8 (3). pp. 305-310. ISSN 0272-4979

Abstract

Conditions on Runge-Kutta algorithms can be obtained which ensure smooth stepsize selection when stability of the algorithm is restricting the stepsize. Some recently derived results are shown to hold for a more general test problem.

ORCID iDs

Higham, D.J. ORCID: https://orcid.org/0000-0002-6635-3461

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• Item metadata

  Item type:	Article
  ID code:	215
  Dates:	Date Event July 1988 Published
  Keywords:	Rungr-Kutta methods, numerical mathematics, computer science, stepsize selection, Electronic computers. Computer science, Mathematics, Computational Mathematics, Applied Mathematics, Mathematics(all)
  Subjects:	Science > Mathematics > Electronic computers. Computer science Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Ms Sarah Scott
  Date deposited:	08 Mar 2006
  Last modified:	20 Jan 2021 16:41
  URI:	https://strathprints.strath.ac.uk/id/eprint/215