Several approximations occur during a numerical simulation: physical effects mapy be discarded, continuous functions replaced by discretized ones and real numbers replaced by finite-precision representations. The use of the floating point arithmetic generates round-off errors at each arithmetical expression and some mathematical properties are lost. The aim of the numerical verification activity at EDF R is to study the effect of the round-off error propagation on the results of a numerical simulation. It is indeed crucial to perform a numerical verification of industrial codes such as developped at EDF R even more for code running in HPC environments. This paper presents some recent studies around the numerical verification at EDF R
@article{EP_2012_35_a6,
author = {Christophe Denis and Sethy Montan},
title = {Numerical {Verification} of {Industrial} {Numerical} {Codes}},
journal = {ESAIM. Proceedings},
pages = {107--113},
year = {2012},
volume = {35},
doi = {10.1051/proc/201235006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235006/}
}
TY - JOUR
AU - Christophe Denis
AU - Sethy Montan
TI - Numerical Verification of Industrial Numerical Codes
JO - ESAIM. Proceedings
PY - 2012
SP - 107
EP - 113
VL - 35
UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201235006/
DO - 10.1051/proc/201235006
LA - en
ID - EP_2012_35_a6
ER -