Results 91 to 100 of about 150 (106)

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

SeMA Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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

Hardware implementation of the CESTAC method

, 2002
no ...
Chotin, Roselyne, Mehrez, Habib
openaire   +2 more sources

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

Symmetry, 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, Noeiaghdam Samad
exaly   +2 more sources

Numerical Solution of Improper Integrals with Valid Implementation

Mathematical and Computational Applications, 2002
In this paper, two theorems are explained which are used in order to find the improper integral I = ({int_a^infty})f(x)dx numerically. It has been proved in [4], one can use the Trapezoidal and Simpson rules to find the definite integral Im = ({int_a ...
S Abbasbandy, Mohammad Ali Fariborzi Araghi, Abbasbandy Saeid   +2 more
exaly   +2 more sources

Discrete Stochastic Arithmetic for Validating Results of Numerical Software

Numerical Algorithms, 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
exaly   +2 more sources

First parallel implementation of the CESTAC Method with self validation

, 2004
International ...
Martins, D., Lamotte, Jean-Luc
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

On the Probability of the Confidence Interval of the CESTAC Method.

, 1997
International ...
Chesneaux, Jean-Marie
core   +3 more sources

On the performance of a parallel implementation of the CESTAC Method with self-validation on several parallel machines

, 2004
International ...
Ghaneme, Abdelkader, Lamotte, Jean-Luc
openaire   +2 more sources