Results 71 to 80 of about 104 (89)

A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method

SeMA Journal, 2020
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Mohammad Ali Fariborzi Araghi, Fariborzi Araghi Mohammad Ali   +1 more
openaire   +3 more sources

Data error analysis in unconstrained optimization problems with the CESTAC method

Mathematics and Computers in Simulation, 1988
This paper is concerned with the solution of optimization problems that depend on inexact data from a known distribution: how does the solution depend on the data? A method to estimate mean and standard deviation of the distribution of the solution is proposed. This method is about three times as expensive as a single optimization.
openaire   +4 more sources

THE USE OF THE CESTAC METHOD IN THE PARALLEL COMPUTATION OF ROOTS OF POLYNOMIALS

1986
openaire   +3 more sources

Testing Stochastic Arithmetic and CESTAC Method Via Polynomial Computation

2007
The CESTAC method and its implementation known as CADNA software have been created to estimate the accuracy of the solution of real life problems when these solutions are obtained from numerical methods implemented on a computer. The method takes into account uncertainties on data and round-off errors.
René Alt, Jean Luc Lamotte, Svetoslav Markov   +2 more
openaire   +2 more sources

The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations

2020
Summary: One of the schemes to find the optimal shape parameter and optimal number of points in the radial basis function (RBF) methods is to apply the stochastic arithmetic (SA) in place of the common floating-point arithmetic (FPA). The main purpose of this work is to introduce a reliable approach based on this new arithmetic to compute the local ...
Barzegar Kelishami, Hasan, Fariborzi Araghi, Mohammad Ali, Amirfakhrian, Majid   +2 more
openaire   +1 more source

Hardware implementation of the CESTAC method

2002
no ...
Chotin, Roselyne, Mehrez, Habib
openaire   +1 more source

First parallel implementation of the CESTAC Method with self validation

2004
With the CESTAC method, which allows to validate numerical computation, one needs to run the code several times (in practice 3 times). The CADNA library (Control of Accuracy and Debugging for Numerical Applications) proposes a sequential and synchronous implementation of the CESTAC method.
Martins, D., Lamotte, Jean-Luc
openaire   +2 more sources

A Valid Dynamical Control on the Reverse Osmosis System Using the CESTAC Method

Mathematics, 2021
Aleksandr Tynda, Samad Noeiaghdam, Denis Sidorov   +2 more
exaly  

Derivative-free root-finding algorithms: Perpendicular and extended secant methods with CESTAC validation

Applied Mathematics and Computation
Md Asadujjaman Miah, Md. Shorif Hossan, Samad Noeiaghdam, Md. Robiul Islam 0001   +3 more
openaire   +1 more source

Valid implementation of Sinc-collocation method to solve the fuzzy Fredholm integral equation

Journal of Computational and Applied Mathematics, 2020
Samad Noeiaghdam, Mohammad Ali Fariborzi Araghi, Saeid Abbasbandy   +2 more
exaly