• Article  

      Construction of nearly orthogonal Latin hypercube designs 

      Efthimiou, Ifigenia; Georgiou, Stelios N.; Liu, Min-Qian (2015)
      The Latin hypercube design (LHD) is a popular choice of experimental design when computer simulation is used to study a physical process. In this paper, we propose some methods for constructing nearly orthogonal Latin ...
    • Article  

      Efficient MFS algorithms for inhomogeneous polyharmonic problems 

      Karageorghis, Andreas (2011)
      In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular ...
    • Article  

      The under-determined version of the MFS: Taking more sources than collocation points 

      Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (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 number of singularities ...