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Showing 1 to 6 of 6 for “"Polynomial expansions"”.
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Accelerated Bayesian experimental design for chemical kinetic models
… is computationally intensive. Instead, polynomial chaos expansions are introduced to capture the dependence of observables on model parameters and on design conditions. Under suitable regularity conditions, these expansions converge exponentially fast. Since both the parameter space and …
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One and Two-Step Estimation of Time Variant Parameters and Nonparametric Quantiles
… with a nonparametric method like kernel, local polynomial or spline smoothing. We demonstrate both in application and simulation that this two-step procedure of quantile estimation is superior to the parametric quantile regression. We then develop a one-step method which combines the strength of …
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An exponential interpolation series
… of kernel expansion (R. P. Boas, and R. C. Buck, Polynomial Expansions of Analytic Functions, Springer-Verlag, Berlin, 1964) yields the desired result. This result is summed up in the following: Theorem Any entire function of exponential type such that the convex hull of the set of singularities …
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An application of Chebyshev polynomials to the solution of a two-dimensional elliptic boundary-value problem
… the feasibility of using a bivariate Chebyshev polynomial to approximate solutions to the two-dimensional neutron diffusion equation. The two-dimensional two-group neutron diffusion equations are solved by expanding neutron fluxes in a finite series of Chebyshev polynomials over large regions of …
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Stochastic multiphysics modeling of RF MEMS switches
… the system matrices are represented in terms of polynomial expansions of input random variables. The coefficients of these polynomials are obtained by deterministic model order reduction for specific values of the input random variables. These values are chosen `smartly' using a Smolyak …