Numerical Verification of Industrial Numerical Codes

Denis, Christophe, and Montan, Sethy. Denis Poisson, Fédération, and Trélat, E., eds. " Numerical Verification of Industrial Numerical Codes ." ESAIM: Proceedings 35 (2012): 107-113. <http://eudml.org/doc/251192>.

@article{Denis2012,
abstract = {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&D 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&D even more for code running in HPC environments. This paper presents some recent studies around the numerical verification at EDF R&D.},
author = {Denis, Christophe, Montan, Sethy},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {107-113},
publisher = {EDP Sciences},
title = { Numerical Verification of Industrial Numerical Codes },
url = {http://eudml.org/doc/251192},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Denis, Christophe
AU - Montan, Sethy
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Numerical Verification of Industrial Numerical Codes
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 107
EP - 113
AB - 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&D 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&D even more for code running in HPC environments. This paper presents some recent studies around the numerical verification at EDF R&D.
LA - eng
UR - http://eudml.org/doc/251192
ER -