A reliable method to determine the ill-condition functions using stochastic arithmetic.
Abbasbandy, Saeid, Fariborzi, M.A. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Displaying similar documents to “Quasilinear Structures in Stochastic Arithmetic and their Application”
A reliable method to determine the ill-condition functions using stochastic arithmetic.
Stochastic Arithmetic Theory and Experiments
Alt, René, Lamotte, Jean-Luc, Markov, Svetoslav (2010)
Serdica Journal of Computing
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Stochastic arithmetic has been developed as a model for exact computing with imprecise data. Stochastic arithmetic provides confidence intervals for the numerical results and can be implemented in any existing numerical software by redefining types of the variables and overloading the operators on them. Here some properties of stochastic arithmetic are further investigated and applied to the computation of inner products and the solution to linear systems. Several numerical experiments...
The stochastic limit in the analysis of some modified open BCS models
Fabio Bagarello (2006)
Banach Center Publications
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-th mean behavior of solutions of stochastic differential equations under parametric perturbations.
Janković, Svetlana, Jovanović, Miljana (2000)
Novi Sad Journal of Mathematics
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On the General Stochastic Epidemic
J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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A Basic Course on General Stochastic Integration
M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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Consistency of minimizers and the SLLN for stochastic programs.
Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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Cylindrical Stochastic Integral
M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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Stochastic analysis of a three unit standby system.
Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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Symbolic computing in probabilistic and stochastic analysis
Marcin Kamiński (2015)
International Journal of Applied Mathematics and Computer Science
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The main aim is to present recent developments in applications of symbolic computing in probabilistic and stochastic analysis, and this is done using the example of the well-known MAPLE system. The key theoretical methods discussed are (i) analytical derivations, (ii) the classical Monte-Carlo simulation approach, (iii) the stochastic perturbation technique, as well as (iv) some semi-analytical approaches. It is demonstrated in particular how to engage the basic symbolic tools implemented...
Models for stochastic mortality
Jan Iwanik (2007)
Applicationes Mathematicae
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This paper is an attempt to present and analyse stochastic mortality models. We propose a couple of continuous-time stochastic models that are natural generalizations of the Gompertz law in the sense that they reduce to the Gompertz function when the volatility parameter is zero. We provide a statistical analysis of the available demographic data to show that the models fit historical data well. Finally, we give some practical examples for the multidimensional models.
Stochastic differential inclusions
Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
On a stochastic SIR model
Elisabetta Tornatore, Stefania Maria Buccellato (2007)
Applicationes Mathematicae
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We consider a stochastic SIR system and we prove the existence, uniqueness and positivity of solution. Moreover the existence of an invariant measure under a suitable condition on the coefficients is studied.