BIT Numerical Mathematics

, Volume 16, Issue 3, pp 257–268 | Cite as

Guaranteed error bounds for the initial value problem using polytope arithmetic

  • D. P. Davey
  • N. F. Stewart
Article

Abstract

In this paper we propose and compare modifications of the method of co-ordinate transformations for finding guaranteed bounds for the numerical solution of the initial value problem. These modifications are judged on their success in overcoming exponentially too large growth of the computed error bound.

Key Words

Guaranteed error bounds interval arithmetic co-ordinate transformations polytopes ordinary differential equations 

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Copyright information

© BIT Foundations 1976

Authors and Affiliations

  • D. P. Davey
    • 1
  • N. F. Stewart
    • 1
  1. 1.Département D'InformatiqueUniversité De MontréalMontréal, PQ.Canada

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