Publications

Links to my published/preprint journal and conference papers.

Bounds on Non-Linear Errors for Variance Computation with Stochastic Rounding
El-Mehdi El Arar, D. Sohier, P. de Oliveira Castro, E. Petit
To appear in SIAM Journal on Scientific Computing, 2023. [ http | .pdf ]

Stochastic Rounding Variance and Probabilistic Bounds: A New Approach
El-Mehdi El Arar, D. Sohier, P. de Oliveira Castro, E. Petit
SIAM Journal on Scientific Computing, 2022. [ http | .pdf ]

The Positive Effects of Stochastic Rounding in Numerical Algorithms
El-Mehdi El Arar, D. Sohier, P. de Oliveira Castro, E. Petit
In 29th IEEE Symposium on Computer Arithmetic ARITH 2022, Virtual conference, France, 2022. [ http | .pdf ]