• Article  

      Optimal superconvergent one step nodal cubic spline collocation methods 

      Bialecki, B.; Fairweather, G.; Karageorghis, Andreas (2006)
      We formulate new optimal (fourth) order one step nodal cubic spline collocation methods for the solution of various elliptic boundary value problems in the unit square. These methods are constructed so that the respective ...
    • 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 ...