Andreas Karageorghis

Publication Activity (10 Years)

Years Active: 1996-2025
Publications (10 Years): 22

Top Topics

Tunable Parameters

Rbf Neural Network

Boundary Value Problem

Top Venues

Numer. Algorithms

Math. Comput. Simul.

J. Sci. Comput.

Appl. Math. Lett.

Publications

C. S. Chen, Andreas Karageorghis
Novel method of fundamental solutions formulation for polyharmonic BVPs. Math. Comput. Simul. 227 (2025)
Malgorzata A. Jankowska, Andreas Karageorghis, C. S. Chen
Training RBF neural networks for solving nonlinear and inverse boundary value problems. Comput. Math. Appl. 165 (2024)
Malgorzata A. Jankowska, Andreas Karageorghis, C. S. Chen
Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions. Math. Comput. Simul. 206 (2023)
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 91 (3) (2022)
C. S. Chen, Malgorzata A. Jankowska, Andreas Karageorghis
RBF-DQ algorithms for elliptic problems in axisymmetric domains. Numer. Algorithms 89 (1) (2022)
Andreas Karageorghis
A time-efficient variable shape parameter Kansa-radial basis function method for the solution of nonlinear boundary value problems. Appl. Math. Comput. 413 (2022)
Andreas Karageorghis, Amir Noorizadegan, C. S. Chen
Fictitious centre RBF method for high order BVPs in multiply connected domains. Appl. Math. Lett. 125 (2022)
Andreas Karageorghis, C. S. Chen
Training RBF neural networks for the solution of elliptic boundary value problems. Comput. Math. Appl. 126 (2022)
Andreas Karageorghis, Demetriana Tappoura, C. S. Chen
The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. Math. Comput. Simul. 181 (2021)
C. S. Chen, Andreas Karageorghis, Lionel Amuzu
Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. J. Comput. Appl. Math. 398 (2021)
Xiaomin Zhu, Fangfang Dou, Andreas Karageorghis, C. S. Chen
A fictitious points one-step MPS-MFS technique. Appl. Math. Comput. 382 (2020)
C. S. Chen, Andreas Karageorghis, Fang-Fang Dou
A novel RBF collocation method using fictitious centres. Appl. Math. Lett. 101 (2020)
Daniel W. Watson, Andreas Karageorghis, C. S. Chen
The radial basis function-differential quadrature method for elliptic problems in annular domains. J. Comput. Appl. Math. 363 (2020)
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis, Jonathan Maack
A quadratic spline collocation method for the Dirichlet biharmonic problem. Numer. Algorithms 83 (1) (2020)
Andreas Karageorghis, Malgorzata A. Jankowska, C. S. Chen
Kansa-RBF algorithms for elliptic problems in regular polygonal domains. Numer. Algorithms 79 (2) (2018)
Bernard Bialecki, Andreas Karageorghis
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. Numer. Algorithms 77 (2) (2018)
Xiao-Yan Liu, C. S. Chen, Andreas Karageorghis
Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method. J. Sci. Comput. 71 (3) (2017)
Andreas Karageorghis, C. S. Chen, Xiao-Yan Liu
Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains. SIAM J. Sci. Comput. 38 (1) (2016)
C. S. Chen, Andreas Karageorghis, Yan Li
On choosing the location of the sources in the MFS. Numer. Algorithms 72 (1) (2016)
Xiao-Yan Liu, Andreas Karageorghis, C. S. Chen
A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains. J. Sci. Comput. 65 (3) (2015)
Andreas Karageorghis
The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions. Numer. Algorithms 68 (1) (2015)
Bernard Bialecki, Andreas Karageorghis
Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients. J. Sci. Comput. 62 (1) (2015)
Andreas Karageorghis, Liviu Marin
Efficient MFS Algorithms for Problems in Thermoelasticity. J. Sci. Comput. 56 (1) (2013)
Bernard Bialecki, Andreas Karageorghis
Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations. Numer. Algorithms 64 (2) (2013)
Andreas Karageorghis
Efficient Trefftz collocation algorithms for elliptic problems in circular domains. Numer. Algorithms 64 (3) (2013)
Ming Li, C. S. Chen, Andreas Karageorghis
The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. Comput. Math. Appl. 66 (11) (2013)
Graeme Fairweather, Andreas Karageorghis, Jon Maack
Compact optimal quadratic spline collocation methods for the Helmholtz equation. J. Comput. Phys. 230 (8) (2011)
Andreas Karageorghis
Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems. J. Sci. Comput. 46 (3) (2011)
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
Matrix decomposition algorithms for elliptic boundary value problems: a survey. Numer. Algorithms 56 (2) (2011)
Andreas Karageorghis
Efficient Kansa-type MFS algorithm for elliptic problems. Numer. Algorithms 54 (2) (2010)
Bernard Bialecki, Andreas Karageorghis
Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations. SIAM J. Sci. Comput. 32 (5) (2010)
Andreas Karageorghis
Efficient MFS algorithms in regular polygonal domains. Numer. Algorithms 50 (2) (2009)
Bernard Bialecki, Andreas Karageorghis
Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. J. Comput. Phys. 227 (19) (2008)
Andreas Karageorghis, Yiorgos Sokratis Smyrlis
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. Computing 83 (1) (2008)
Bernard Bialecki, Andreas Karageorghis
A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. J. Sci. Comput. 32 (2) (2007)
Zakaria Belhachmi, Andreas Karageorghis
A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions. J. Sci. Comput. 30 (2) (2007)
Andreas Karageorghis, Yiorgos Sokratis Smyrlis, Th. Tsangaris
A matrix decomposition MFS algorithm for certain linear elasticity problems. Numer. Algorithms 43 (2) (2006)
Zakaria Belhachmi, Andreas Karageorghis, K. Taous
Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method. J. Sci. Comput. 27 (1-3) (2006)
Th. Tsangaris, Yiorgos Sokratis Smyrlis, Andreas Karageorghis
A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains. J. Sci. Comput. 28 (1) (2006)
Yiorgos Sokratis Smyrlis, Andreas Karageorghis
The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains. SIAM J. Sci. Comput. 27 (4) (2006)
Roman Tankelevich, Andreas Karageorghis
The method of fundamental solutions in geometric design with potential fields. SIGGRAPH Posters (2005)
Graeme Fairweather, Andreas Karageorghis, Yiorgos Sokratis Smyrlis
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. Adv. Comput. Math. 23 (1-2) (2005)
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods. SIAM J. Sci. Comput. 27 (2) (2005)
Yiorgos Sokratis Smyrlis, Andreas Karageorghis
A Linear Least-Squares MFS for Certain Elliptic Problems. Numer. Algorithms 35 (1) (2004)
Bernard Bialecki, Andreas Karageorghis
Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle. Numer. Algorithms 36 (3) (2004)
Bernard Bialecki, Graeme Fairweather, Andreas Karageorghis
Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems. SIAM J. Sci. Comput. 24 (5) (2003)
Andreas Poullikkas, Andreas Karageorghis, Georgios Georgiou
The Method of Fundamental Solutions in Three-Dimensional Elastostatics. PPAM (2001)
Yiorgos Sokratis Smyrlis, Andreas Karageorghis
Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS. PPAM (2001)
Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis
Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation. SIAM J. Numer. Anal. 38 (6) (2001)
Bernard Bialecki, Andreas Karageorghis
A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem. SIAM J. Sci. Comput. 22 (5) (2001)
Yiorgos Sokratis Smyrlis, Andreas Karageorghis
Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems. J. Sci. Comput. 16 (3) (2001)
Andreas Karageorghis
The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. Appl. Math. Lett. 14 (7) (2001)
Andreas Karageorghis, Marcin Paprzycki
Conditioning of Pseudospectral Matrices for Certain Domain Decompositions. J. Sci. Comput. 14 (1) (1999)
Graeme Fairweather, Andreas Karageorghis
The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math. 9 (1-2) (1998)
Marcin Paprzycki, Andreas Karageorghis
High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions. WNAA (1996)
Andreas Karageorghis, Marcin Paprzycki
An efficient direct method for fully conforming spectral collocation schemes. Numer. Algorithms 12 (2) (1996)
Andreas Karageorghis
Conforming Spectral Domain Decomposition Schemes. WNAA (1996)