CADNA's contribution to various scientific computing methods
Validating the results obtained from scientific software. Stochastic approach
Article REF: AF1471 V1
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

Logo Techniques de l'Ingenieur You do not have access to this resource.
Request your free trial access! Free trial

Already subscribed?

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:

    ...
You do not have access to this resource.
Logo Techniques de l'Ingenieur

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed?


Ongoing reading
CADNA's contribution to various scientific computing methods

Article included in this offer

"Mathematics"

( 165 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details
Contact us