Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Title
Now showing items 654-673 of 1633
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Article
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
(2001)A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
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Article
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients
(2018)We solve the Dirichlet and mixed Dirichlet-Neumann boundary value problems for the variable coefficient Cauchy-Navier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear ...
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Article
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients
(2017)We solve the Dirichlet and mixed Dirichlet-Neumann boundary value problems for the variable coefficient Cauchy-Navier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear ...
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Article
Letter to the editors
(1977)
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Article
Lie group analysis of two-dimensional variable-coefficient Burgers equation
(2010)The modern group analysis of differential equations is used to study a class of two-dimensional variable coefficient Burgers equations. The group classification of this class is performed. Equivalence transformations are ...
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Conference Object
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Article
Lie symmetries of a system arising in plasma physics
(2018)Lie group classification for a diffusion-type system that has applications in plasma physics is derived. The classification depends on the values of 5 parameters that appear in the system. Similarity reductions are presented. ...
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Article
Lie symmetries of generalized Burgers equations: application to boundary-value problems
(2015)There exist several approaches exploiting Lie symmetries in the reduction of boundary-value problems for partial differential equations modelling real-world phenomena to those problems for ordinary differential equations. ...
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Conference Object
Lie Symmetry Analysis of a Third-Order Equation Arising from a General Class of Lotka–Volterra Chains
(Springer, 2018)In the literature has recently appeared a class of bi-cubic equations from the study of a general class of Lotka–Volterra chains. Lie symmetry analysis is performed for this non-linear partial differential equation and a ...
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Article
Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation
(2018)We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a ...
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Article
Lie symmetry analysis of Burgers-type systems
(2018)Lie group classification for 2 Burgers-type systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical ...
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Article
Likelihood Estimation for the INAR(p) Model by Saddlepoint Approximation
(2015)Saddlepoint techniques have been used successfully in many applications, owing to the high accuracy with which they can approximate intractable densities and tail probabilities. This article concerns their use for the ...
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Article
Linear estimation of location and scale parameters using partial maxima
(2012)Consider an i. i. d. sample X 1*, X 2*,..., X n*, from a location-scale family, and assume that the only available observations consist of the partial maxima (or minima) sequence, X 1:1*,X 2:2*,..., X n:n*, where X j:j* = ...
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Article
A linear least-squares MFS for certain elliptic problems
(2004)The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we propose an efficient algorithm for the linear least-squares version ...
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Article
Linear stability diagrams for the shear flow of an Oldroyd-B fluid with slip along the fixed wall
(1998)We consider the time-dependent shear flow of an Oldroyd-B fluid with slip along the fixed wall. Slip is allowed by means of a generic slip equation predicting that the shear stress is a non-monotonic function of the velocity ...
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Article
Linearisation and potential symmetries of certain systems of diffusion equations
(2006)We consider systems of two pure one-dimensional diffusion equations that have considerable interest in Soil Science and Mathematical Biology. We construct non-local symmetries for these systems. These are determined by ...
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Article
Linearizing mappings for certain nonlinear diffusion equations
(1998)In this paper we consider the nonlinear diffusion equations of the type ut = x1-M[xN-1λ(u + u)-2ux]x. It is shown that linearizing point transformations do not exist. This equation can be equivalently written as a system ...
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Article
Linearly implicit methods for a semilinear parabolic system arising in two-phase flows
(2011)We study the discretization of a nonlinear parabolic system arising in two-phase flows, which in a special case reduces to the Kuramoto-Sivashinsky equation, by linearly implicit methods and, in particular, by implicit-explicit ...
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Article
Linearly implicit schemes for a class of dispersive-dissipative systems
(2011)We consider initial value problems for semilinear parabolic equations, which possess a dispersive term, nonlocal in general. This dispersive term is not necessarily dominated by the dissipative term. In our numerical ...
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Article
Linearly implicit schemes for multi-dimensional Kuramoto-Sivashinsky type equations arising in falling film flows
(2014)This study introduces, analyses and implements space-time discretizations of two-dimensional active dissipative partial differential equations such as the Topper-Kawahara equation