Results 101 to 110 of about 700 (136)

Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method

open access: closedJournal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samad Noeiaghdam   +2 more
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Data error analysis in unconstrained optimization problems with the CESTAC method

open access: closedMathematics 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.
Nicole Alliot
openalex   +3 more sources

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

open access: closedSeMA Journal, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Ali Fariborzi Araghi
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Application of the CESTAC Method to Find the Optimal Iteration of the Homotopy Analysis Method for Solving Fuzzy Integral Equations

open access: closed, 2021
The goal of this work is to apply the stochastic arithmetic (SA) in discrete form and the CESTAC (Controle et Estimation Stochastique des Arrondis de Calculs) method to validate the numerical results of solving fuzzy Fredholm and Volterra integral equations (IEs) by homotopy analysis method (HAM).
Samad Noeiaghdam   +1 more
openalex   +2 more sources

A variant of the CESTAC method and its application to constrained optimization

open access: closedMathematics and Computers in Simulation, 1988
This paper is concerned with estimating the number of exact digits in a computed solution to a nonlinear programming problem. Related to this goal is the design of stopping criteria based on statistical grounds. Such ideas are developed. Results of numerical experiments are provided.
J. Abadie, F. Dekhli
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Testing Stochastic Arithmetic and CESTAC Method Via Polynomial Computation

open access: closed, 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   +2 more
openalex   +3 more sources

Applying the fuzzy CESTAC method to find the optimal shape parameter in solving fuzzy differential equations via RBF-meshless methods

open access: closedSoft Computing, 2020
In this paper, by using the CESTAC method and the CADNA library a procedure is proposed to solve a fuzzy initial value problem based on RBF-meshless methods under generalized H-differentiability. So a reliable approach is presented to determine optimal shape parameter and number of points for RBF-meshless methods.
Hasan Barzegar Kelishami   +2 more
openalex   +2 more sources

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