Goal:  Compute 15 stage order 8 schemes to arbitrary precision.
====

                                        Ren-Cang Li, June 1, 1996
                                        na.rcli@na-net.ornl.gov

Files in this directory:
=======================

   Maple Code:
   ----------

      Get_s15odr8    ---  Driver routine to get the scheme s15odr8.

      Get_All        ---  Driver routine to get as many as 202 15 stage
                          order 8 schemes.

      s15odr8Eq      ---  Define determining equations.

      Newton         ---  Newton iteration to compute a real solution to
                          the determining equations, given a good initial
                          guess.

      InitialCs      ---  Provide initial guesses to Newton

      WriteItOut     ---  Output a computed solution.

   Output:  
   -------
            s15odr8 by Get_s15odr8, containig three schemes;
            s15odr8_All by Get_All, containing 202 schemes.

To Run: 
=======

   After Maple prompt, type   read('Get_s15odr8');            or
                              read('Get_All');

Comments: 

      1)  The code as it is operate use 100 decimal digits, while only
          dump 20 decimal digits of final solutions. To change these,
          please go to Get_s15odr8 or Get_All, where 

              Digits    and   DumpDigits

          are initialized.

      2)  s15odr8 has also been obtained by Robert McLachlan.
