Conforming Spectral Domain Decomposition Schemes. - Andreas Karageorghis (WNAA, 1996)

High Performance Solution of Linear Systems Arising from Conforming Spectral Approximations for Non-Conforming Domain Decompositions. - Marcin Paprzycki; Andreas Karageorghis (WNAA, 1996)

An efficient direct method for fully conforming spectral collocation schemes. - Andreas Karageorghis; Marcin Paprzycki (Numer. Algorithms, 1996)

The method of fundamental solutions for elliptic boundary value problems. - Graeme Fairweather; Andreas Karageorghis (Adv. Comput. Math., 1998)

Conditioning of Pseudospectral Matrices for Certain Domain Decompositions. - Andreas Karageorghis; Marcin Paprzycki (J. Sci. Comput., 1999)

The Method of Fundamental Solutions in Three-Dimensional Elastostatics. - Andreas Poullikkas; Andreas Karageorghis; Georgios Georgiou (PPAM, 2001)

Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS. - Yiorgos Sokratis Smyrlis; Andreas Karageorghis (PPAM, 2001)

The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation. - Andreas Karageorghis (Appl. Math. Lett., 2001)

Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems. - Yiorgos Sokratis Smyrlis; Andreas Karageorghis (J. Sci. Comput., 2001)

Spectral Element Discretization of the Circular Driven Cavity, Part II: The Bilaplacian Equation. - Zakaria Belhachmi; Christine Bernardi; Andreas Karageorghis (SIAM J. Numer. Anal., 2001)

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem. - Bernard Bialecki; Andreas Karageorghis (SIAM J. Sci. Comput., 2001)

Matrix Decomposition Algorithms for Modified Spline Collocation for Helmholtz Problems. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (SIAM J. Sci. Comput., 2003)

Legendre Gauss Spectral Collocation for the Helmholtz Equation on a Rectangle. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2004)

A Linear Least-Squares MFS for Certain Elliptic Problems. - Yiorgos Sokratis Smyrlis; Andreas Karageorghis (Numer. Algorithms, 2004)

The method of fundamental solutions in geometric design with potential fields. - Roman Tankelevich; Andreas Karageorghis (SIGGRAPH Posters, 2005)

A matrix decomposition MFS algorithm for axisymmetric biharmonic problems. - Graeme Fairweather; Andreas Karageorghis; Yiorgos Sokratis Smyrlis (Adv. Comput. Math., 2005)

Optimal Superconvergent One Step Nodal Cubic Spline Collocation Methods. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (SIAM J. Sci. Comput., 2005)

Identification and Reconstruction of a Small Leak Zone in a Pipe by a Spectral Element Method. - Zakaria Belhachmi; Andreas Karageorghis; K. Taous (J. Sci. Comput., 2006)

A Matrix Decomposition MFS Algorithm for Problems in Hollow Axisymmetric Domains. - Th. Tsangaris; Yiorgos Sokratis Smyrlis; Andreas Karageorghis (J. Sci. Comput., 2006)

A matrix decomposition MFS algorithm for certain linear elasticity problems. - Andreas Karageorghis; Yiorgos Sokratis Smyrlis; Th. Tsangaris (Numer. Algorithms, 2006)

The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains. - Yiorgos Sokratis Smyrlis; Andreas Karageorghis (SIAM J. Sci. Comput., 2006)

A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions. - Zakaria Belhachmi; Andreas Karageorghis (J. Sci. Comput., 2007)

A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems. - Bernard Bialecki; Andreas Karageorghis (J. Sci. Comput., 2007)

Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems. - Andreas Karageorghis; Yiorgos Sokratis Smyrlis (Computing, 2008)

Spectral Chebyshev-Fourier collocation for the Helmholtz and variable coefficient equations in a disk. - Bernard Bialecki; Andreas Karageorghis (J. Comput. Phys., 2008)

Efficient MFS algorithms in regular polygonal domains. - Andreas Karageorghis (Numer. Algorithms, 2009)

Efficient Kansa-type MFS algorithm for elliptic problems. - Andreas Karageorghis (Numer. Algorithms, 2010)

Spectral Chebyshev Collocation for the Poisson and Biharmonic Equations. - Bernard Bialecki; Andreas Karageorghis (SIAM J. Sci. Comput., 2010)

Compact optimal quadratic spline collocation methods for the Helmholtz equation. - Graeme Fairweather; Andreas Karageorghis; Jon Maack (J. Comput. Phys., 2011)

Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems. - Andreas Karageorghis (J. Sci. Comput., 2011)

Matrix decomposition algorithms for elliptic boundary value problems: a survey. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (Numer. Algorithms, 2011)

The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions. - Ming Li; C. S. Chen; Andreas Karageorghis (Comput. Math. Appl., 2013)

Efficient MFS Algorithms for Problems in Thermoelasticity. - Andreas Karageorghis; Liviu Marin (J. Sci. Comput., 2013)

Modified nodal cubic spline collocation for three-dimensional variable coefficient second order partial differential equations. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2013)

Efficient Trefftz collocation algorithms for elliptic problems in circular domains. - Andreas Karageorghis (Numer. Algorithms, 2013)

Finite Difference Schemes for the Cauchy-Navier Equations of Elasticity with Variable Coefficients. - Bernard Bialecki; Andreas Karageorghis (J. Sci. Comput., 2015)

A Kansa-Radial Basis Function Method for Elliptic Boundary Value Problems in Annular Domains. - Xiao-Yan Liu; Andreas Karageorghis; C. S. Chen (J. Sci. Comput., 2015)

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

On choosing the location of the sources in the MFS. - C. S. Chen; Andreas Karageorghis; Yan Li (Numer. Algorithms, 2016)

Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains. - Andreas Karageorghis; C. S. Chen; Xiao-Yan Liu (SIAM J. Sci. Comput., 2016)

Conformal Mapping for the Efficient Solution of Poisson Problems with the Kansa-RBF Method. - Xiao-Yan Liu; C. S. Chen; Andreas Karageorghis (J. Sci. Comput., 2017)

A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. - Bernard Bialecki; Andreas Karageorghis (Numer. Algorithms, 2018)

Kansa-RBF algorithms for elliptic problems in regular polygonal domains. - Andreas Karageorghis; Malgorzata A. Jankowska; C. S. Chen (Numer. Algorithms, 2018)

A fictitious points one-step MPS-MFS technique. - Xiaomin Zhu; Fangfang Dou; Andreas Karageorghis; C. S. Chen (Appl. Math. Comput., 2020)

A novel RBF collocation method using fictitious centres. - C. S. Chen; Andreas Karageorghis; Fang-Fang Dou (Appl. Math. Lett., 2020)

The radial basis function-differential quadrature method for elliptic problems in annular domains. - Daniel W. Watson; Andreas Karageorghis; C. S. Chen (J. Comput. Appl. Math., 2020)

A quadratic spline collocation method for the Dirichlet biharmonic problem. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis; Jonathan Maack (Numer. Algorithms, 2020)

Kansa RBF collocation method with auxiliary boundary centres for high order BVPs. - C. S. Chen; Andreas Karageorghis; Lionel Amuzu (J. Comput. Appl. Math., 2021)

The Kansa RBF method with auxiliary boundary centres for fourth order boundary value problems. - Andreas Karageorghis; Demetriana Tappoura; C. S. Chen (Math. Comput. Simul., 2021)

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

Fictitious centre RBF method for high order BVPs in multiply connected domains. - Andreas Karageorghis; Amir Noorizadegan; Chuin-Shan Chen (Appl. Math. Lett., 2022)

Training RBF neural networks for the solution of elliptic boundary value problems. - Andreas Karageorghis; C. S. Chen (Comput. Math. Appl., 2022)

An optimal two-step quadratic spline collocation method for the Dirichlet biharmonic problem. - Bernard Bialecki; Graeme Fairweather; Andreas Karageorghis (Numer. Algorithms, 2022)

RBF-DQ algorithms for elliptic problems in axisymmetric domains. - C. S. Chen; Malgorzata A. Jankowska; Andreas Karageorghis (Numer. Algorithms, 2022)

Kansa-RBF algorithms for elliptic BVPs in annular domains with mixed boundary conditions. - Malgorzata A. Jankowska; Andreas Karageorghis; C. S. Chen (Math. Comput. Simul., 2023)

Training RBF neural networks for solving nonlinear and inverse boundary value problems. - Malgorzata A. Jankowska; Andreas Karageorghis; C. S. Chen (Comput. Math. Appl., 2024)

Hybrid meshless method for solving inhomogeneous polyharmonic equations. - C. S. Chen; Andreas Karageorghis; Q. G. Liu (Comput. Math. Appl., 2025)

Multi-level method of fundamental solutions for solving polyharmonic problems. - Andreas Karageorghis; C. S. Chen (J. Comput. Appl. Math., 2025)

Novel method of fundamental solutions formulation for polyharmonic BVPs. - C. S. Chen; Andreas Karageorghis (Math. Comput. Simul., 2025)

Hybrid local meshless method for solving elliptic boundary value problems. - C. S. Chen; Andreas Karageorghis (Comput. Appl. Math., 2025)

Solution of the Cauchy problem for the Brinkman equations using an alternating method of fundamental solutions. - Andreas Karageorghis; Daniel Lesnic (Numer. Algorithms, 2025)