Program Listing for File LobattoIIID4.m

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%
%> Class container for Lobatto IIID method.
%
classdef LobattoIIID4 < Indigo.RungeKutta
  %
  methods
    %
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    %
    %> Lobatto IIID method.
    %>
    %> \f[
    %> \begin{array}{c|ccc}
    %>     0 &  1/6 &    0 & -1/6 \\
    %>   1/2 & 1/12 & 5/12 &    0 \\
    %>     1 &  1/2 &  1/3 &  1/6 \\
    %>   \hline
    %>       &  1/6 &  2/3 & 1/6
    %> \end{array}
    %> \f]
    %
    function this = LobattoIIID4()
      tbl.A   = [1/6,  0,    -1/6; ...
                 1/12, 5/12, 0; ...
                 1/2,  1/3,  1/6];
      tbl.b   = [1/6, 2/3, 1/6];
      tbl.b_e = [];
      tbl.c   = [0, 1/2, 1]';
      this@Indigo.RungeKutta('LobattoIIID4', 4, tbl);
    end
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  end
end