Results 21 to 30 of about 88 (59)

Stochastic Arithmetic in Multiprecision

, 2011
International audienceFloating-point arithmetic precision is limited in length the IEEE single (respectively double) precision format is 32-bit (respectively 64-bit) long. Extended precision formats can be up to 128-bit long.
Zhu, Yuxiang, Shiyue Wang, Jézéquel, Fabienne, Wang, Shiyue, Graillat, Stef, Stef Graillat, Yuxiang Zhu, Fabienne Jézéquel   +7 more
core   +1 more source

Estimation of Round-off Errors in OpenMP Codes

, 2016
International audienceIt is crucial to control round-off error propagation in numerical simulations, because they can significantly affect computed results, especially in parallel codes like OpenMP ones.
Fortin, Pierre, Pacôme Eberhart, Brajard, Julien, Jézéquel, Fabienne, Eberhart, Pacôme, Julien Brajard, Fabienne Jézéquel, Pierre Fortin   +7 more
core   +1 more source

Advantages of the Discrete Stochastic Arithmetic to Validate the Results of the Taylor Expansion Method to Solve the Generalized Abel’s Integral Equation

, 2021
The aim of this paper is to apply the Taylor expansion method to solve the first and second kinds Volterra integral equations with Abel kernel. This study focuses on two main arithmetics: the FPA and the DSA.
Samad Noeiaghdam, Eisa Zarei
core   +1 more source

Towards an efficient implementation of CADNA in the BLAS : Example of DgemmCADNA routine.

, 2012
International audienceSeveral approximations occur during a numerical simulation : physical phenomena are modelled using mathematical equations, continuous functions are replaced by discretized ones and real numbers are replaced by _nite-precision ...
Lamotte, Jean-Luc, Montan, Séthy, Denis, Christophe, Chesneaux, Jean-Marie   +3 more
core   +1 more source

Sur la validation numérique des codes de calcul industriels

, 2013
Numerical verification of industrial codes, such as those developed at EDF R&D, is required to estimate the precision and the quality of computed results, even more for code running in HPC environments where millions of instructions are performed each ...
Montan, Séthy, Akpémado
core   +2 more sources

Discrete Stochastic Arithmetic for Validating Results of Numerical Software

, 2004
International audienceThe Discrete Stochastic Arithmetic DSA is a probabilistic approach for round-off error propagation. After a brief review of the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method, which is the basis of DSA ...
Vignes, Jean
core   +1 more source

T cell immune discriminants of HIV reservoir size in a pediatric cohort of perinatally infected individuals. [PDF]

PLoS Pathog, 2021
Rinaldi S, de Armas L, Dominguez-Rodríguez S, Pallikkuth S, Dinh V, Pan L, Gӓrtner K, Pahwa R, Cotugno N, Rojo P, Nastouli E, Klein N, Foster C, De Rossi A, Giaquinto C, Rossi P, Palma P, Pahwa S, EPIICAL consortium.   +18 more
europepmc   +1 more source

Stochastic rounding: implementation, error analysis and applications. [PDF]

R Soc Open Sci, 2022
Croci M, Fasi M, Higham NJ, Mary T, Mikaitis M.   +4 more
europepmc   +1 more source

High Performance Numerical Validation using Stochastic Arithmetic

, 2015
International audienceIn the context of high performance computing, numerical validation becomes increasingly important because of the higher level of parallelism and of the large number of operations.
Fortin, Pierre, Brajard, Julien, Jézéquel, Fabienne, Eberhart, Pacôme   +3 more
core   +1 more source

Ultrasensitive detection and quantification of viral nucleic acids with Raindance droplet digital PCR (ddPCR). [PDF]

Methods, 2022
Long S, Berkemeier B.
europepmc   +1 more source