• 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  

      Matrix decomposition RBF algorithm for solving 3D elliptic problems 

      Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (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 functions. The collocation points ...
    • Article  

      The structure and complexity of Nash equilibria for a selfish routing game 

      Fotakis, Dimitris A.; Kontogiannis, Spyros C.; Koutsoupias, Elias; Mavronicolas, Marios; Spirakis, Paul G. (2009)
      In this work, we study the combinatorial structure and the computational complexity of Nash equilibria for a certain game that models selfish routing over a network consisting of m parallel links. We assume a collection ...