F. Jézéquel and J. Chesneaux, CADNA: a library for estimating round-off error propagation, Computer Physics Communications, vol.178, issue.12, pp.933-955, 2008.
DOI : 10.1016/j.cpc.2008.02.003

J. Vignes, Discrete Stochastic Arithmetic for Validating Results of Numerical Software, Numerical Algorithms, vol.37, issue.1-4, pp.377-390, 2004.
DOI : 10.1023/B:NUMA.0000049483.75679.ce

URL : https://hal.archives-ouvertes.fr/hal-01146498

W. Kahan, Pracniques: further remarks on reducing truncation errors, Communications of the ACM, vol.8, issue.1, p.40, 1965.
DOI : 10.1145/363707.363723

D. M. Priest, On Properties of Floating Point Arithmetics: Numerical Stability and the Cost of Accurate Computations, 1992.

N. J. Higham, Accuracy and stability of numerical algorithms, Society for Industrial and Applied Mathematics (SIAM), 2002.
DOI : 10.1137/1.9780898718027

T. Ogita, S. M. Rump, and S. Oishi, Accurate Sum and Dot Product, SIAM Journal on Scientific Computing, vol.26, issue.6, pp.1955-1988, 2005.
DOI : 10.1137/030601818

T. J. Dekker, A floating-point technique for extending the available precision, Numerische Mathematik, vol.5, issue.3, pp.224-242, 1971.
DOI : 10.1007/BF01397083

J. Vignes, A stochastic arithmetic for reliable scientific computation, Mathematics and Computers in Simulation, vol.35, issue.3, pp.233-261, 1993.
DOI : 10.1016/0378-4754(93)90003-D

J. Vignes, Zéro mathématique et zéro informatique Comptes Rendus de l'Académie des Sciences - Series I -Mathematics, also: La Vie des Sciences, pp.997-1000, 1986.

J. Chesneaux and J. Vignes, Les fondements de l'arithmétique stochastique, Comptes Rendus de l'Académie des Sciences -Series I -Mathematics, pp.1435-1440, 1992.

J. Muller, N. Brisebarre, F. De-dinechin, C. Jeannerod, V. Lefèvre et al., Handbook of Floating-Point Arithmetic, Birkhäuser, 2010.
DOI : 10.1007/978-0-8176-4705-6

URL : https://hal.archives-ouvertes.fr/ensl-00379167

J. Demmel and H. D. Nguyen, Fast Reproducible Floating-Point Summation, 2013 IEEE 21st Symposium on Computer Arithmetic, pp.163-172, 2013.
DOI : 10.1109/ARITH.2013.9

P. H. Sterbenz, Floating-point computation. Prentice-Hall series in automatic computation, 1973.

J. R. Hauser, Handling floating-point exceptions in numeric programs, ACM Transactions on Programming Languages and Systems, vol.18, issue.2, pp.139-174, 1996.
DOI : 10.1145/227699.227701