Results 21 to 30 of about 150 (106)
Numerical Study of Algebraic Problems using stochastic arithmetic
, 2007 International audienceA widely used method to estimate the accuracy of the numerical solution of real life problems is the CESTAC Monte Carlo type method. In this method, a real number is considered as an N-tuple of Gaussian random numbers constructed as
Lamotte, Jean-Luc +5 more
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, 2008 The CESTAC (Control et Estimation STochastique des Arrondis de Calculs) method is based on a probabilistic approach of the round-off error propagation which replaces the floating-point arithmetic by the stochastic arithmetic.
Mohammad Ali Fariborzi Araghi
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Numerical Study of Algebraic Solutions to Linear Problems Involving Stochastic Parameters
, 2005 International audienceWe formulate certain numerical problems with stochastic numbers and compare algebraically obtained results with experimental results provided by the CESTAC method.
Lamotte, Jean-Luc +5 more
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A Valid Scheme to Evaluate Fuzzy Definite Integrals by Applying the CADNA Library
, 2017 The aim of this paper is to estimate the value of a fuzzy integral and to find the optimal step size and nodes via the stochastic arithmetic. For this purpose, the fuzzy Romberg integration rule is considered as an integration rule, then the CESTAC ...
Samad Noeiaghdam +1 more
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Validation of results of collocation methods for ODEs with the CADNA library
, 1996 International audienceThis paper shows the efficiency of collocation methods for integrating ordinary differential system when they are performed with an efficient round-off error analysis method. In a first part collocation methods are briefly presented
Vignes, Jean, Alt, René
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Estimation of Round-off Errors on Several Computers Architectures
, 1995 Numerical validation of computed results in scientific computation is always an essential problem as well on sequential architecture as on parallel architecture.
Lamotte,Jean-Luc +5 more
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On the solution to numerical problems using stochastic arithmetic
, 2006 International audienceWe investigate some algebraic properties of the system of stochastic numbers with the arithmetic operations addition and multiplication by scalars and the relation inclusion and point out certain practically important consequences ...
Lamotte, Jean-Luc +2 more
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On the numerical solution to linear problems using stochastic arithmetic
, 2006 International audienceIt has been recently shown that computation with stochastic numbers as regard to addition and multiplication by scalars can be reduced to computation in familiar vector spaces.
Lamotte, Jean-Luc +5 more
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Some experiments on the evaluation of functional ranges using a random interval arithmetic
, 2001 International audienceA software tool using standard and special interval arithmetic operations together with an idea which is developed in the discrete stochastic arithmetic (DSA) approach for round-off error evaluation is proposed in this paper for a ...
R. Alt +3 more
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Place de la consommation de carburants dans les critères de choix des véhicules (Particuliers)
, 2006 The objective of this study is 1) to evaluate the weight of the criteria "fuel consumption" and "fuel type" in the decision of consumers to purchase a new vehicle, 2) to compare methods of measuring purchase criteria, 3) to document the role of affects ...
Cestac, Julien +2 more
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