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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

35 3

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

36 2- PDF

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

51 1- PDF

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

28 1- PDF

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

9 1- PDF

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

23

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

26

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

26- PDF

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

30

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

9- PDF