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- Publications
- Influence
A matrix decomposition RBF algorithm: Approximation of functions and their derivatives
- A. Karageorghis, C. Chen, Yiorgos-Sokratis Smyrlis
- Mathematics
- 1 March 2007
We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the… Expand
Numerical analysis of the MFS for certain harmonic problems
- Yiorgos-Sokratis Smyrlis, A. Karageorghis
- Mathematics
- 1 May 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 investigate the properties of the matrices… Expand
Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation
- G. Akrivis, Yiorgos-Sokratis Smyrlis
- Mathematics
- 1 November 2004
We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a… Expand
Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains
- A. Karageorghis, Yiorgos-Sokratis Smyrlis
- Mathematics
- 20 September 2007
In this work, we propose an efficient matrix decomposition algorithm for the Method of Fundamental Solutions when applied to three-dimensional boundary value problems governed by elliptic systems of… Expand
Linearly implicit schemes for a class of dispersive–dissipative systems
- G. Akrivis, Yiorgos-Sokratis Smyrlis
- Mathematics
- 1 June 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.… Expand
Matrix decomposition RBF algorithm for solving 3D elliptic problems
- A. Karageorghis, C. Chen, Yiorgos-Sokratis Smyrlis
- Mathematics
- 1 December 2009
In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis… Expand
A matrix decomposition MFS algorithm for axisymmetric potential problems
- Yiorgos-Sokratis Smyrlis, A. Karageorghis
- Mathematics
- 1 May 2004
The method of fundamental solutions is a boundary-type meshless method for the solution of certain elliptic boundary value problems. By exploiting the structure of the matrices appearing when this… Expand
The Method of Fundamental Solutions: A Weighted Least-Squares Approach
- Yiorgos-Sokratis Smyrlis
- Mathematics
- 2 March 2006
We investigate the Method of Fundamental Solutions (MFS) for the solution of certain elliptic boundary value problems. In particular, we study the case in which the number of collocation points… Expand
Some Aspects of the Method of Fundamental Solutions for Certain Biharmonic Problems
- Yiorgos-Sokratis Smyrlis, A. Karageorghis
- Mathematics
- 1 December 2003
In this study, we investigate the application of the Method of Fundamental Solutions for the solution of biharmonic Dirichlet problems on a disk. Modifications of the method for overcoming sources of… Expand
The under-determined version of the MFS: Taking more sources than collocation points
- Yiorgos-Sokratis Smyrlis, A. Karageorghis
- Mathematics
- 1 April 2010
In this study we investigate the approximation of the solutions of certain elliptic boundary value problems by the Method of Fundamental Solutions (MFS). In particular, we study the case in which the… Expand