Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Submit Date
Now showing items 120 of 1624

Article
Méthodes spectrales dans une portion de disque
(1996)This paper is devoted to spectral methods for the discretization of elliptic equations in a part of a disk, relying on the use of polar coordinates and approximation by high degree polynomials with respect to each coordinate. ...

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Article
Spectral element discretization of the circular driven cavity, part I: The Laplace equation
(1999)This paper is devoted to the spectral element discretization of the Laplace equation in a disk when provided with discontinuous boundary data. Relying on an appropriate variational formulation, we propose a discrete problem ...

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The Laplace equation with discontinuous boundary data: Convergence of the spectral element discretization
(1997)We prove an existence result for the Laplace equation in a disk with discontinuous Dirichlet boundary conditions: 0 on part of the boundary and 1 on its complement. The problem is discretized by the mortar spectral element ...

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Higherorder accurate polyspectral estimation with flattop lagwindows
(2009)Improved performance in higherorder spectral density estimation is achieved using a general class of infiniteorder kernels. These estimates are asymptotically less biased but with the same order of variance as compared ...

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The method of fundamental solutions for layered elastic materials
(2001)In this paper, we investigate the application of the method of fundamental solutions to twodimensional elasticity problems in isotropic and anisotropic single materials and bimaterials. A domain decomposition technique ...

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Galerkin formulations of themethod of fundamental solutions
(2013)In this paper,we introduce two Galerkin formulations of the Method of Fundamental Solutions (MFS). In contrast to the collocation formulation of the MFS, the proposed Galerkin formulations involve the evaluation of integrals ...

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The method of fundamental solutions for heat conduction in layered materials
(1999)In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to twodimensional problems of steadystate heat conduction in isotropic and anisotropic bimaterials. Two approaches are used: a ...

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Stress intensity factor computation using the method of fundamental solutions: Mixedmode problems
(2007)The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of ...

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A bootstrap test for time series linearity
(2010)A bootstrap algorithm is proposed for testing Gaussianity and linearity in stationary time series, and consistency of the relevant bootstrap approximations is proven rigorously for the first time. Subba Rao and Gabr (1980) ...

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Subsampling continuous parameter random fields and a Bernstein inequality
(2000)In the present paper we study the subsampling methodology for approximating the distribution of statistics estimating some unknown parameter associated with the probability distribution of a continuous parameter random ...

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Extrapolation of subsampling distribution estimators: The i.i.d. and strong mixing cases
(2001)Politis & Romano (1994) proposed a general subsampling methodology for the construction of largesample confidence regions for an arbitrary parameter under minimal conditions. Nevertheless, the subsampling distribution ...

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Subsampling the distribution of diverging statistics with applications to finance
(2004)In this paper we propose a subsampling estimator for the distribution of statistics diverging at either known or unknown rates when the underlying time series is strictly stationary and strong mixing. Based on our results ...

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Moderate deviations in subsampling distribution estimation
(2001)In Politis and Romano (1994) the subsampling methodology was put forth for approximating the sampling distribution (and the corresponding quantiles) of general statistics from i.i.d. and stationary data. In this note, we ...

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Bandwidth selection for functional time series prediction
(2009)We propose a method to select the bandwidth for functional time series prediction. The idea underlying this method is to calculate the empirical risk of prediction using past segments of the observed series and to select ...

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Nonparametric regression estimation based on spatially inhomogeneous data: Minimax global convergence rates and adaptivity
(2014)We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known density g with a finite number of ...

Conference Object

Article
Impact of head rotation on the individualized common carotid flow and carotid bifurcation hemodynamics
(2014)This paper aims at evaluating the changes that head rotation poses on morphological and flow characteristics of the carotid bifurcation (CB) and on the distribution of parameters that are regarded as important in atherosclerosis ...