• Article  

      Compact optimal quadratic spline collocation methods for the Helmholtz equation 

      Fairweather, G.; Karageorghis, Andreas; Maack, J. (2011)
      Quadratic spline collocation methods are formulated for the numerical solution of the Helmholtz equation in the unit square subject to non-homogeneous Dirichlet, Neumann and mixed boundary conditions, and also periodic ...
    • Article  

      Optimal superconvergent one step quadratic spline collocation methods 

      Bialecki, B.; Fairweather, G.; Karageorghis, Andreas; Nguyen, Q. N. (2008)
      We formulate new optimal quadratic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the collocation equations can be solved ...