Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Title
Now showing items 614-633 of 1633
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Article
Intraperitoneal melatonin is not neuroprotective in the G93ASOD1 transgenic mouse model of familial ALS and may exacerbate neurodegeneration
(2013)In amyotrophic lateral sclerosis (ALS) reactive oxygen species and apoptosis are implicated in disease pathogenesis. Melatonin with its anti-oxidant and anti-apoptotic properties is expected to ameliorate disease phenotype. ...
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Invariants of two- and three-dimensional hyperbolic equations
(2009)We consider linear hyperbolic equations of the formut t = underover(∑, i = 1, n) uxi xi + underover(∑, i = 1, n) Xi (x1, ..., xn, t) uxi + T (x1, ..., xn, t) ut + U (x1, ..., xn, t) u . We derive equivalence transformations ...
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Inversion of noisy Radon transform by SVD based needlets
(2010)A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the ...
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Article
Investigation of the analyticity of dissipative-dispersive systems via a semigroup method
(2014)In this work, we study the analyticity of Kuramoto-Sivashinsky type equations and related systems by exploring the applicability of the semigroup method, which was developed in Collet et al. [5]. We establish the analyticity, ...
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Isogeometric analysis for singularly perturbed problems in 1-D: error estimates
(2020)We consider one-dimensional singularly perturbed boundary value problems of reaction-convection-diffusion type, and the approximation of their solution using isogeometric analysis. In particular, we use a Galerkin formulation ...
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Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data
(2015)In this paper, the method of compensated compactness is applied to the problem of isometric immersion of a two-dimensional Riemannian manifold with negative Gauss curvature into three-dimensional Euclidean space. Previous ...
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Issues and analysis of mixed semi-automated/manual traffic 1
(1998)The advance in research and development will make the deployment of automated vehicles a reality in the near future. At the initial stage, semi-automated vehicles with the capability to follow each other automatically in ...
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Item Count Technique in estimating the proportion of people with a sensitive feature
(2007)In assessing the prevalence of a sensitive attribute like habitual heroin consumption in a community of people, indirect questioning is a necessity to extract truth on ensuring protection of privacy. The current literature ...
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Item count technique with no floor and ceiling effects
(2020)Conclusions of sample surveys dealing with matters of privacy are often disputed. Many people either refuse to participate or provide false answers. Indirect questioning techniques are designed so that reliable estimates ...
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Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces
(2008)The Littlewood-Paley theory is extended to weighted spaces of distributions on [-1,1] with Jacobi weights w(t) = (1 - t)α(1+t) β. Almost exponentially localized polynomial elements (needlets) {ρξ}, {ψξ} are constructed ...
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K-sample subsampling in general spaces: The case of independent time series
(2010)The problem of subsampling in two-sample and K-sample settings is addressed where both the data and the statistics of interest take values in general spaces. We focus on the case where each sample is a stationary time ...
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Kansa RBF method for nonlinear problems
(2018)We apply the Kansa–radial basis function (RBF) collocation method to two– dimensional nonlinear boundary value problems. The system of nonlinear equations resulting from the Kansa–RBF discretization is solved by directly ...
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A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains
(2015)We employ a Kansa-radial basis function (RBF) method for the numerical solution of elliptic boundary value problems in annular domains. This discretization leads, with an appropriate selection of collocation points and for ...
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Kansa-RBF algorithms for elliptic problems in axisymmetric domains
(2016)We employ a Kansa-radial basis function method for the numerical solution of elliptic boundary value problems in three-dimensional axisymmetric domains. We consider problems governed by the Poisson equation, the inhomogeneous ...
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Kansa-RBF algorithms for elliptic problems in regular polygonal domains
(2018)We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These ...
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Conference Object
A Kansa-RBF method for Poisson problems in annular domains
(WITPress, 2014)We employ a Kansa-radial basis function (RBF) method for Poisson boundary value problems in annular domains. This discretization leads, for any choice of RBF, to linear system matrices possessing block circulant structures. ...
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Kernel estimates of nonparametric functional autoregression models and their bootstrap approximation
(2017)This paper considers a nonparametric functional autoregression model of order one. Existing contributions addressing the problem of functional time series prediction have focused on the linear model and literatures are ...
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A Kolmogorov inequality for U-statistics based on Bernoulli kernels
(1994)A Kolmogorov inequality for the class of U-statistics based on kernels which are Bernoulli random variables is presented. This class of statistics contains the sample average of i.i.d. Bernoulli random variables as a special ...