Floats and Ropes: A Case Study for Formal Numerical Program Verification

  • Sylvie Boldo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5556)

Abstract

We present a case study of a formal verification of a numerical program that computes the discretization of a simple partial differential equation. Bounding the rounding error was tricky as the usual idea, that is to bound the absolute value of the error at each step, fails. Our idea is to find out a precise analytical expression that cancels with itself at the next step, and to formally prove the correctness of this approach.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Sylvie Boldo
    • 1
    • 2
  1. 1.INRIA SaclayÎle-de-FranceOrsayFrance
  2. 2.LRIUniv Paris-Sud, CNRSOrsayFrance

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