Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Submit Date
Now showing items 2140 of 1633

Article
Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains
(2019)A local radial basis function method (LRBF) is applied for the solution of boundary value problems in annular domains governed by the Poisson equation, the inhomogeneous biharmonic equation and the inhomogeneous CauchyNavier ...

Article
Moving pseudoboundary method of fundamental solutions for nonlinear potential problems
(2019)In the method of fundamental solutions (MFS), the solution of a boundary value problem (BVP) is approximated by a linear combination of fundamental solutions expressed in terms of sources which are located on a pseudo–boundary ...

Article
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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Article

Conference Object
On Generalized Stieltjes functions and their approximations
(University of Aegean, 2018)

Article
The method of fundamental solutions for the Oseen steadystate viscous flow past obstacles of known or unknown shapes
(2019)In this paper, the steadystate Oseen viscous flow equations past a known or unknown obstacle are solved numerically using the method of fundamental solutions (MFS), which is free of meshes, singularities, and numerical ...

Article
Relative Entropy for Hyperbolic–Parabolic Systems and Application to the Constitutive Theory of Thermoviscoelasticity
(2018)We extend the relative entropy identity to the class of hyperbolic–parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is useful for providing stability of viscous ...

Article
A symmetrizable extension of polyconvex thermoelasticity and applications to zeroviscosity limits and weakstrong uniqueness
(2018)We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Following the relative entropy formulation, ...

Article
Measurevalued solutions for the equations of polyconvex adiabatic thermoelasticity
(2019)For the system of polyconvex adiabatic thermoelasticity, we define a notion of dissipative measurevalued solution, which can be considered as the limit of a viscosity approximation. We embed the system into a symmetrizable ...

Article
KansaRBF 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 ...

Article
Prediction of catastrophes in space over time
(2018)Predicting rare events, such as high level upcrossings, for spatiotemporal processes plays an important role in the analysis of the occurrence and impact of potential catastrophes in, for example, environmental settings. ...

Article
Shape parameter estimation in RBF function approximation
(2019)The radial basis function (RBF) collocation method is applied for the approximation of functions in two variables. When the RBFs employed include a shape parameter, the determination of an appropriate value for it is a ...

Conference Object
Determination of shape parameter in RBF approximation
(WIT Press, 2019)We apply a radial basis function (RBF) collocation method for the approximation of functions in two dimensions. The solution is approximated by a linear combination of radial basis functions. The issue of determining the ...

Conference Object
On L1stability of BV solutions for a model of granular flow
(AIMS, 2019)

Article
Sparsitypromoting and edgepreserving maximum a posteriori estimators in nonparametric Bayesian inverse problems
(2018)We consider the inverse problem of recovering an unknown functional parameter in a separable Banach space, from a noisy observation vector of its image through a known possibly nonlinear map . We adopt a Bayesian approach ...

Article
Selfinverse and exchangeable random variables
(2013)A random variable Z will be called selfinverse if it has the same distribution as its reciprocal Z 1. It is shown that if Z is defined as a ratio, X / Y, of two rv's X and Y (with P[X=0]=P[Y=0]=0), then Z is selfinverse ...

Article
Finite element approximation of reaction–diffusion problems using an exponentially graded mesh
(2018)We present the analysis of an h version Finite Element Method for the approximation of the solution to singularly perturbed reaction–diffusion problems posed in smooth domains Ω⊂R2. The method uses piecewise polynomials ...

Article
On the regularity of the nondynamic parabolic fractional obstacle problem
(2018)In the class of the nondynamic Fractional Obstacle Problems of parabolic type, it is shown existence, uniqueness, apriori bounds of the solution and optimal regularity of the space derivatives of the solution. Furthermore, ...

Article
Parabolic Obstacle Problems. Quasiconvexity and Regularity
(2019)In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain spacetime regularity of the corresponding free boundary.