Program Listing for File RadauIIB3.m

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%
%> Class container for Radau IIB3 method.
%
classdef RadauIIB3 < Indigo.RungeKutta
  %
  methods
    %
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    %
    %> Radau IIB3 method.
    %>
    % http://www.jaac-online.com/data/article/jaac/preview/pdf/20170325.pdf
    % Symplectic Runge-Kutta Methods of High Order Based on W-Transformation,
    % Kaifeng Xia, Yuhao Cong1 and Geng Sun. Journal of Applied Analysis and
    % Computation, Volume 7, Number 3, August 2017, 1185-1199
    %>
    %> \f[
    %> \begin{array}{c|cc}
    %>   1/3 & 3/8  & -1/24 \\
    %>     1 & 7/8 & 1/8 \\
    %>   \hline
    %>       & 3/4 &  1/4
    %> \end{array}
    %> \f]
    %
    function this = RadauIIB3()
      tbl.A   = [3/8, -1/24; ...
                 7/8,  1/8];
      tbl.b   = [3/4, 1/4];
      tbl.b_e = [];
      tbl.c   = tbl.A*ones(2,1);
      this@Indigo.RungeKutta('RadauIIB3', 3, tbl);
    end
    %
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    %
  end
  %
end