polynomial chaos expansion
Bayesian inference of earthquake rupture models using polynomial chaos expansion
... Abstract. In this paper, we employed polynomial chaos (PC) expansions to understand earthquake rupture model re- sponses to random fault plane properties. A sensitivity anal- ysis based on our PC surrogate ...
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An accuracy comparison of polynomial chaos type methods for the propagation of uncertainties
... the Polynomial Chaos Expansion for the treatment of uncertainties in industrial ...of Polynomial Chaos type methods for the propagation of uncertainties in nonlinear problems and verify ...
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Spectral Analysis of Uncertainty in Water Age
... the Polynomial Chaos Expansion (PCE) (Smith (2013), Xiu (2010)) Depending on its application the PCE has the potential to greatly reduce or even eliminate the sampling by use of the mathematical ...
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Polynomial chaos to efficiently compute the annual energy production in wind farm layout optimization
... the polynomial basis is orthogonal with a weight function that corresponds up to a constant to the probability density function of the uncer- tain ...the polynomial chaos expansion (Oladyshkin ...
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SENSIBILITY ANALYSIS USING POLYNOMIAL CHAOS: APPLICATIONS
... the expansion in functions of random variables. In particular, the Polynomial Chaos Expansion has several numerical advantages that justify its increasing ...
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Nanoelectronic COupled Problems Solutions: uncertainty quantification for analysis and optimization of an RFIC interference problem
... PCE, Polynomial Chaos Expansion; EMI, Electromagnetic Interference; RFCMOS, Radio-Frequency Complementary Metal-Oxide Semi-Conductor; CEM, Computational Electromagnetic; EMC, Electromagnetic ...
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COMPONENT MODE SYNTHESIS AND CHAOS POLYNOMIAL EXPANSION FOR DYNAMIC ANALYSIS OF NON LINEAR LARGE STRUCTURE WITH UNCERTAIN PARAMETERS
... The aim of this work is to estimate the stochastic nonlinear dynamic response for a large structure with a minimal computational cost. To do this, we develop a methodological approach for calculating the temporal ...
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From wind to loads: wind turbine site-specific load estimation with surrogate models trained on high-fidelity load databases
... The previous sections of this paper described a procedure for estimating site-specific lifetime damage-equivalent loads (DELs), using several simplified model techniques applied to 10 different sites and conditions. ...
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Comparison of non-intrusive approaches to uncertainty propagation in orbital mechanics
... high-order polynomial expansions of the uncertain quantities in the governing ...standard Polynomial Chaos Expansion, an Uncertain Quantification-High Dimensional Model Representation, a ...
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Upwind Finite Volume Solution of Stochastic Burgers’ Equation
... Polynomial chaos expansion has many advantages in evaluating both statistical moments of any order and the p.d.f of system response which represents a complete solution of the random systems. Ghanem ...
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Chaos and chaos control in biology
... Not only does the Poincare plot of human atrial fibrillation show evidence of nonrandom structure, but features such as saddle points unstable equilibrium points with associated unstable[r] ...
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Exact Traveling Wave Solutions for Generalized Camassa Holm Equation by Polynomial Expansion Methods
... -expansion method and obtained traveling solution for the four well established nonlinear evolution equation; Seadawy et al. [27] proposed sech-tanh method to solve the Olver equation and the fifth-order KdV ...
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Arrhythmia detection based on Hermite polynomial expansion and multilayer perceptron on System On Chip implementation
... Hermite Polynomial Expansion and Artificial Neural Network ...Hermite Polynomial Expansion and classification based on artificial Neural Network ...
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Computation Sequences for Series and Polynomials
... Approximation to the solutions of non-linear differential systems is very useful when the exact solutions are unattainable. Perturbation expansion replaces the system with a sequences of smaller problems, only the ...
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Image Encryption Using Hyper Chaos and Symmetric Cryptography
... on chaos-based cryptosystems has been ...of chaos for S-box design and replace it with that of ...of chaos in both image diffusion and confusion ...
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Concrete strains under transient thermal conditions : a state of the art review
... this expansion is related to the anisotropic crack pat- tern induced in the specimen: for temperatures higher than 400 ° C, cracks parallel to the loading direction were observed, in accordance to results obtained ...
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Vol 2, No 6 (2011)
... Polynomial chaos theory is not limited to the Hermite ...Generalized polynomial chaos (otherwise known as Wiener-Askey Polynomial Chaos) expanded the theory to use all the ...
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Polynomial axial expansion in the Method of Characteristics for neutron transport in 3D extruded geometries
... The presence of two parts with different materials and composition leads to the strong flux gradient, shown in Fig. 1. For this reason the Step approximation needs a big number of axial meshes, in particular in the ...
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A distributed procedure for computing stochastic expansions with Mathematica
... stochastic expansion. Since the expansion is a weighted sum of iterated integrals j, its expectation is simply the weighted sum of the integrals’ ...
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Flow Dynamics in Restricted Geometries: A Mathematical Concept Based on Bloch NMR Flow Equation and Boubaker Polynomial Expansion Scheme
... Boubaker polynomial expansion scheme (BPES) and analytically connect most of the experimentally valuable NMR parameters in a simpli- fied way for general analyses of magnetic resonance imaging with ...
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