generalized Polynomial Chaos
Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification
... the generalized polynomial-chaos basis functions and Gauss quadrature rules from a general surrogate ...a generalized polynomial chaos ...
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A comparative study of generalized Polynomial Chaos based Approximations: integration vs. regression vs. collocation vs. kriging
... non-intrusive, generalized Polynomial Chaos, collocation, re- gression, kriging 1 Introduction In this paper, we are interested in the numerical approximations of a transformation u of a set of ...
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Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation
... 2 L 2 (I×Θ) = 0, the error can still grow quickly with time. It can be theoretically compensated with an increasing polynomial order P . The smoother the solution, the more efficient the increase of P . The fact ...
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Identification of multi-modal random variables through mixtures of polynomial chaos expansions
... a GeM - UMR CNRS 6183, Ecole Centrale Nantes, Université de Nantes 1 rue de la Noë, 44321 Nantes, France Abstract A methodology is introduced for the identification of a multi-modal real-valued random variable from a ...
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A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry
... the polynomial chaos (PC) theory has originally been introduced by Wiener in the case of Gaussian random input variables as the finite-dimensional Wiener polynomial chaos ...so-called ...
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Piecewise polynomial chaos expansion with an application to brake squeal of a linear brake system
... the polynomial basis must be very ...Multi-Element generalized Polynomial Chaos (MEgPC) method was recently introduced by previous papers, mostly to study equilibria or limit cycles via time ...
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Application of the polynomial chaos expansion to multiphase CFD : a study of rising bubbles and slug flow
... The contact between the vapor-liquid interface and the solid is only apparent from a macroscopic perspective; a very thin (-i nm) film of adsorbed liquid actually separates[r] ...
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Efficient uncertain k eff computations with the Monte Carlo resolution of generalised Polynomial Chaos Based reduced models
... small polynomial order (P = 3) is in accordance with the fast (spectral) convergence numerically recov- ered in [1] and theoretically recovered in [2] (but for the unstationary linear Boltzmann equation, not for ...
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Analyzing the dynamic response of a rotor system under uncertain parameters by Polynomial Chaos Expansion
... set of parameters are introduced. As explained previously in Section 3.2, these random parameters affect the mass and gyroscopic matrices (see Equation (28)). The order of chaos has been chosen as equal to 2. ...
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Efficient sparse polynomial chaos expansion methodology for the probabilistic analysis of computationally-expensive deterministic models
... SPARSE POLYNOMIAL CHAOS EXPANSION METHODOLOGY AND THE GLOBAL SENSITIVITY ANALYSIS As mentioned previously, the time cost of the probabilistic analysis remains important even with the use of the SPCE when ...
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Identification of random shapes from images through polynomial chaos expansion of random level-set functions
... key words: Random geometry; Level-set method; Probabilistic identi cation; Polynomial chaos; Maximum likelihood; Extended stochastic nite element method. 1. Introduction The considerable in uence of ...
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A polynomial chaos approach for uncertainty analysis of chloride-induced corrosion in concrete structures
... CONCLUSIONS In this paper, a probabilistic modeling of chloride transport and chloride-induced corrosion of concrete structures using the polynomial chaos expansion (PCE) is presented. It is found that the ...
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Chaos and scale
... fact that the timescales of reproduction and dispersal are decoupled in Csilling et al.’s model. I think the absence of chaos in Csilling et al.’s study could be explained by a particular feature of their model. ...
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Humeur de chaos
... Durand-Dastès quand il invite à s'interroger sur cette absence: si les équations qui décrivent par ailleurs convenablement la dynamique d'un système sont susceptibles, dans un[r] ...
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Sur le chaos et synchronisation dans les systèmes dynamiques discrets
... of chaos, several examples of discrete systems are detected chaotic, for such a set of ...of chaos is part of this type of research, the arrival of two discrete systems at the same time has importance in ...
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La notion de chaos et la géographie, quelques réflexions
... aux chaos sont assez rarement observées, plus rarement en tout cas que celles conduisant à des équilibres ou à des oscillations régulières, donc vers des attracteurs non ...
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π 3.99 (Chaos, et Composition Musicale)
... Ces remarques ne veulent pas être des jugement de valeurs sur les musiques ainsi produites [1] , mais veulent seulement montrer la méconnaissance qu'il existe, de la part des musiciens, au sujet des potentialités de ces ...
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Chaos quantique avec des atomes refroidis par laser
... La dynamique des syst`emes chaotiques est le sujet de nombreuses ´etudes en physique. Apr`es les perc´ees accomplies par Poincar´e au d´ebut du XX e si`ecle, les id´ees se sont fix´ees avec la d´ecouverte par Lorenz dans ...
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Dynamique d'atomes dans des potentiels optiques: du chaos quantique au chaos quasi-classique
... Dans cette section, nous avons vu que les condensats de Bose-Einstein se caracté- risent par le fait que les atomes qui les composent sont dans le même état quantique.. Cela leur confère[r] ...
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Boundary chromatic polynomial
... Los Angeles, CA 90089, USA March 18, 2008 Abstract We consider proper colorings of planar graphs embedded in the annulus, such that vertices on one rim can take Q s colors, while all re- maining vertices can take Q ...
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