How Fast can Moore’s Interval Integration Method Really be?

  • Jürgen Herzberger


Moore’s interval integration method which uses only function evaluations of the integrant is interpreted as an approximation of the fundamental integration by Riemann-sums. In this way we can estimate the speed of convergence of this method and it is shown that its convergence factor of its linear convergence rate is bounded to below. This lower bound is shown to be sharp in the sense that there is a wide dass of functions for which it cannot be improved. In particular this is true for all rational functions only considered by Moore.


Rational Expression Interval Arithmetic Outer Approximation Integration Error Interval Extension 
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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Jürgen Herzberger
    • 1
  1. 1.Department of MathematicsUniversity of OldenburgOldenburgGermany

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