Geodesic
First steps towards more numerical reproducibility
Fabienne Jézéquel1 ; Philippe Langlois2 ; Nathalie Revol3
1 Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7606, LIP6, F-75005, Paris, France and Université Paris 2, France
2 Université de Perpignan Via Domitia, DALI, LIRMM (UMR5506 CNRS-Université Montpellier 2), France
3 INRIA, U. de Lyon, LIP (UMR5668 CNRS-ENS de Lyon-INRIA-UCBL), ENS de Lyon, France
ESAIM. Proceedings, Tome 45 (2014), pp. 229-238.

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Questions whether numerical simulation is reproducible or not have been reported in several sensitive applications. Numerical reproducibility failure mainly comes from the finite precision of computer arithmetic. Results of floating-point computation depends on the computer arithmetic precision and on the order of arithmetic operations. Massive parallel HPC which merges, for instance, many-core CPU and GPU, clearly modifies these two parameters even from run to run on a given computing platform. How to trust such computed results? This paper presents how three classic approaches in computer arithmetic may provide some first steps towards more numerical reproducibility.
DOI : 10.1051/proc/201445023

Fabienne Jézéquel 1 ; Philippe Langlois 2 ; Nathalie Revol 3

1 Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7606, LIP6, F-75005, Paris, France and Université Paris 2, France
2 Université de Perpignan Via Domitia, DALI, LIRMM (UMR5506 CNRS-Université Montpellier 2), France
3 INRIA, U. de Lyon, LIP (UMR5668 CNRS-ENS de Lyon-INRIA-UCBL), ENS de Lyon, France 
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Fabienne Jézéquel; Philippe Langlois; Nathalie Revol. First steps towards more numerical reproducibility. ESAIM. Proceedings, Tome 45 (2014), pp. 229-238. doi : 10.1051/proc/201445023. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445023/

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