Andreas Karageorghis

Orcid: 0000-0002-8399-6880

Affiliations:
  • University of Cyprus, Department of Mathematics and Statistics, Nicosia, Cyprus


According to our database1, Andreas Karageorghis authored at least 58 papers between 1996 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2025
Novel method of fundamental solutions formulation for polyharmonic BVPs.
Math. Comput. Simul., 2025

Multi-level method of fundamental solutions for solving polyharmonic problems.
J. Comput. Appl. Math., 2025

2024
Training RBF neural networks for solving nonlinear and inverse boundary value problems.
Comput. Math. Appl., 2024

2023
Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions.
Math. Comput. Simul., April, 2023

2022
RBF-DQ algorithms for elliptic problems in axisymmetric domains.
Numer. Algorithms, 2022

An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms, 2022

Training RBF neural networks for the solution of elliptic boundary value problems.
Comput. Math. Appl., 2022

Fictitious centre RBF method for high order BVPs in multiply connected domains.
Appl. Math. Lett., 2022

A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems.
Appl. Math. Comput., 2022

2021
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems.
Math. Comput. Simul., 2021

Kansa RBF collocation method with auxiliary boundary centres for high order BVPs.
J. Comput. Appl. Math., 2021

2020
A quadratic spline collocation method for the Dirichlet biharmonic problem.
Numer. Algorithms, 2020

The radial basis function-differential quadrature method for elliptic problems in annular domains.
J. Comput. Appl. Math., 2020

A novel RBF collocation method using fictitious centres.
Appl. Math. Lett., 2020

A fictitious points one-step MPS-MFS technique.
Appl. Math. Comput., 2020

2018
Kansa-RBF algorithms for elliptic problems in regular polygonal domains.
Numer. Algorithms, 2018

A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients.
Numer. Algorithms, 2018

2017
Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method.
J. Sci. Comput., 2017

2016
Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains.
SIAM J. Sci. Comput., 2016

On choosing the location of the sources in the MFS.
Numer. Algorithms, 2016

2015
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions.
Numer. Algorithms, 2015

A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains.
J. Sci. Comput., 2015

Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients.
J. Sci. Comput., 2015

2013
Efficient Trefftz collocation algorithms for elliptic problems in circular domains.
Numer. Algorithms, 2013

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations.
Numer. Algorithms, 2013

Efficient MFS Algorithms for Problems in Thermoelasticity.
J. Sci. Comput., 2013

The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions.
Comput. Math. Appl., 2013

2011
Matrix decomposition algorithms for elliptic boundary value problems: a survey.
Numer. Algorithms, 2011

Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems.
J. Sci. Comput., 2011

Compact optimal quadratic spline collocation methods for the Helmholtz equation.
J. Comput. Phys., 2011

2010
Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations.
SIAM J. Sci. Comput., 2010

Efficient Kansa-type MFS algorithm for elliptic problems.
Numer. Algorithms, 2010

2009
Efficient MFS algorithms in regular polygonal domains.
Numer. Algorithms, 2009

2008
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk.
J. Comput. Phys., 2008

Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems.
Computing, 2008

2007
A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems.
J. Sci. Comput., 2007

A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions.
J. Sci. Comput., 2007

2006
The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains.
SIAM J. Sci. Comput., 2006

A matrix decomposition MFS algorithm for certain linear elasticity problems.
Numer. Algorithms, 2006

A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains.
J. Sci. Comput., 2006

Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method.
J. Sci. Comput., 2006

2005
Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods.
SIAM J. Sci. Comput., 2005

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems.
Adv. Comput. Math., 2005

The method of fundamental solutions in geometric design with potential fields.
Proceedings of the International Conference on Computer Graphics and Interactive Techniques, 2005

2004
A Linear Least-Squares MFS for Certain Elliptic Problems.
Numer. Algorithms, 2004

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle.
Numer. Algorithms, 2004

2003
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems.
SIAM J. Sci. Comput., 2003

2001
A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem.
SIAM J. Sci. Comput., 2001

Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation.
SIAM J. Numer. Anal., 2001

Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems.
J. Sci. Comput., 2001

The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation.
Appl. Math. Lett., 2001

Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS.
Proceedings of the Parallel Processing and Applied Mathematics, 2001

The Method of Fundamental Solutions in Three-Dimensional Elastostatics.
Proceedings of the Parallel Processing and Applied Mathematics, 2001

1999
Conditioning of Pseudospectral Matrices for Certain Domain Decompositions.
J. Sci. Comput., 1999

1998
The method of fundamental solutions for elliptic boundary value problems.
Adv. Comput. Math., 1998

1996
An efficient direct method for fully conforming spectral collocation schemes.
Numer. Algorithms, 1996

High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

Conforming Spectral Domain Decomposition Schemes.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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