Results 21 to 30 of about 52 (43)
Some of the next articles are maybe not open access.
Validation of results of collocation methods for ODEs with the CADNA library
Applied Numerical Mathematics, 1996This paper shows the efficiency of collocation methods for integrating systems of ordinary differential equations (ODEs) when they are performed with an efficient round-off error analysis method. The collocation methods are briefly presented and some of their properties are recalled.
J Vignes
exaly +4 more sources
CADNA: a library for estimating round-off error propagation
Computer Physics Communications, 2008The CADNA library enables one to estimate round-off error propagation using a probabilistic approach. With CADNA the numerical quality of any simulation program can be controlled. Furthermore by detecting all the instabilities which may occur at run time, a numerical debugging of the user code can be performed.
Jézéquel, Fabienne +1 more
exaly +3 more sources
A new version of the CADNA library for estimating round-off error propagation in Fortran programs
Computer Physics Communications, 2010The CADNA library enables one to estimate, using a probabilistic approach, round-off error propagation in any simulation program. CADNA provides new numerical types, the so-called stochastic types, on which round-off errors can be estimated. Furthermore CADNA contains the definition of arithmetic and relational operators which are overloaded for ...
Jézéquel, Fabienne +2 more
exaly +3 more sources
The use of the CADNA library for validating the numerical results of the hybrid GMRES algorithm
Applied Numerical Mathematics, 1997The author shows that the hybrid GMRES algorithm of \textit{N. M. Nachtigal}, \textit{L. Reichel} and \textit{L. N. Trefethen} [SIAM J. Matrix Anal. Appl. 13, No. 3, 796-825 (1992; Zbl 0757.65035)] may fail due to properties of floating-point arithmetic. In these cases either the result is false or spoiled by serious round-off errors.
Faezeh Toutounian
exaly +3 more sources
A Valid Scheme to Evaluate Fuzzy Definite Integrals by Applying the CADNA Library
International Journal of Fuzzy System Applications, 2017The 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 (Controle et Estimation Stochastique des Arrondis de Calculs) method is applied which is a method to ...
Mohammad Ali Fariborzi Araghi +1 more
openaire +1 more source
The stable ATA-orthogonal s-step Orthomin(k) algorithm with the CADNA library
Numerical Algorithms, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2019
The aim of this research is to apply the stochastic arithmetic (SA) for validating the Sinc-collocation method (S-CM) with single or double exponentially decay to find the numerical solution of second kind Fredholm integral equation (IE). To this end, the CESTAC(Controle et Estimation Stochastique des Arrondis de Calculs) method and the CADNA (Control ...
Fariborzi, Mohammad Ali +1 more
openaire +1 more source
The aim of this research is to apply the stochastic arithmetic (SA) for validating the Sinc-collocation method (S-CM) with single or double exponentially decay to find the numerical solution of second kind Fredholm integral equation (IE). To this end, the CESTAC(Controle et Estimation Stochastique des Arrondis de Calculs) method and the CADNA (Control ...
Fariborzi, Mohammad Ali +1 more
openaire +1 more source
SOLVING FUZZY LINEAR SYSTEMS IN THE STOCHASTIC ARITHMETIC BY APPLYING CADNA LIBRARY
Proceedings of the International Conference on Evolutionary Computation Theory and Applications, 2011openaire +1 more source
SOLVING FUZZY LINEAR SYSTEMS IN THE STOCHASTIC ARITHMETIC BY APPLYING CADNA LIBRARY
2022Mohammad Ali Fariborzi Araghi
exaly