Validating the results obtained from scientific software. Stochastic approach : CADNA's contribution to various scientific computing methods

CADNA's contribution to various scientific computing methods
Validating the results obtained from scientific software. Stochastic approach

Authors : Jean VIGNES, René ALT

Publication date: October 10, 2009 | Lire en français

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5. CADNA's contribution to various scientific computing methods

Numerical methods used in scientific computing programs fall into three categories:

finished ;
iterative ;
approached.

For each of them, we'll highlight the difficulties of using them, and show how these difficulties can be resolved using precision control and the concepts of discrete stochastic arithmetic, i.e. using CADNA software.

5.1 Finite numerical methods

These methods consist of finite, ordered sequences of operations dependent on conditional disconnections. When they are executed on a computer, because of the propagation of rounding errors, two problems arise at the same time:

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CADNA's contribution to various scientific computing methods