NAG Library Manual, Mark 29.2
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description

 D03RAF Example Program Results

 Example 1

 Time =   0.2400
 Total number of accepted timesteps =   77
 Total number of rejected timesteps =    0

             Total  number (rounded) of     
          Residual  Jacobian    Newton   Lin sys
             evals     evals     iters     iters
 At level 
       1       600        80       200       200

             Maximum  number of   
              Newton iters    Lin sys iters 
 At level 
       1             2             3

 Solution at every 4th grid point in level         2 at time   0.2500:

       x          y        approx u

  6.7500E-01   0.000E+00   2.000E+00
  7.2500E-01   0.000E+00   1.980E+00
  7.7500E-01   0.000E+00   1.342E+00
  8.2500E-01   0.000E+00   1.190E+00
  7.1250E-01   1.250E-02   1.996E+00
  7.6250E-01   1.250E-02   1.468E+00
  8.1250E-01   1.250E-02   1.213E+00
  7.0000E-01   2.500E-02   1.999E+00
  7.5000E-01   2.500E-02   1.625E+00
  8.0000E-01   2.500E-02   1.240E+00
  6.8750E-01   3.750E-02   2.000E+00
  7.3750E-01   3.750E-02   1.870E+00
  7.8750E-01   3.750E-02   1.283E+00
  6.7500E-01   5.000E-02   2.000E+00
  7.2500E-01   5.000E-02   1.980E+00
  7.7500E-01   5.000E-02   1.342E+00
  8.2500E-01   5.000E-02   1.190E+00
  7.1250E-01   6.250E-02   1.996E+00
  7.6250E-01   6.250E-02   1.468E+00
  8.1250E-01   6.250E-02   1.213E+00
  7.0000E-01   7.500E-02   1.999E+00
  7.5000E-01   7.500E-02   1.625E+00
  8.0000E-01   7.500E-02   1.240E+00
  6.8750E-01   8.750E-02   2.000E+00
  7.3750E-01   8.750E-02   1.870E+00
  7.8750E-01   8.750E-02   1.283E+00
  6.7500E-01   1.000E-01   2.000E+00
  7.2500E-01   1.000E-01   1.980E+00
  7.7500E-01   1.000E-01   1.342E+00
  8.2500E-01   1.000E-01   1.190E+00
  7.1250E-01   1.125E-01   1.996E+00
  7.6250E-01   1.125E-01   1.468E+00
  8.1250E-01   1.125E-01   1.213E+00
  7.0000E-01   1.250E-01   1.999E+00
  7.5000E-01   1.250E-01   1.625E+00
  8.0000E-01   1.250E-01   1.240E+00
  6.8750E-01   1.375E-01   2.000E+00
  7.3750E-01   1.375E-01   1.870E+00
  7.8750E-01   1.375E-01   1.283E+00
  6.7500E-01   1.500E-01   2.000E+00
  7.2500E-01   1.500E-01   1.980E+00
  7.7500E-01   1.500E-01   1.341E+00
  8.2500E-01   1.500E-01   1.190E+00
  7.1250E-01   1.625E-01   1.995E+00
  7.6250E-01   1.625E-01   1.467E+00
  8.1250E-01   1.625E-01   1.213E+00
  7.0000E-01   1.750E-01   1.999E+00
  7.5000E-01   1.750E-01   1.624E+00
  8.0000E-01   1.750E-01   1.240E+00
  6.8750E-01   1.875E-01   2.000E+00
  7.3750E-01   1.875E-01   1.869E+00
  7.8750E-01   1.875E-01   1.282E+00
  6.7500E-01   2.000E-01   2.000E+00
  7.2500E-01   2.000E-01   1.980E+00
  7.7500E-01   2.000E-01   1.341E+00
  8.2500E-01   2.000E-01   1.189E+00
  7.1250E-01   2.125E-01   1.995E+00
  7.6250E-01   2.125E-01   1.465E+00
  8.1250E-01   2.125E-01   1.212E+00
  7.0000E-01   2.250E-01   1.999E+00
  7.5000E-01   2.250E-01   1.621E+00
  8.0000E-01   2.250E-01   1.240E+00
  6.8750E-01   2.375E-01   2.000E+00
  7.3750E-01   2.375E-01   1.869E+00
  7.8750E-01   2.375E-01   1.282E+00
  6.7500E-01   2.500E-01   2.000E+00
  7.2500E-01   2.500E-01   1.980E+00
  7.7500E-01   2.500E-01   1.340E+00
  8.2500E-01   2.500E-01   1.189E+00
  7.1250E-01   2.625E-01   1.995E+00
  7.6250E-01   2.625E-01   1.462E+00
  8.1250E-01   2.625E-01   1.212E+00
  7.0000E-01   2.750E-01   1.999E+00
  7.5000E-01   2.750E-01   1.616E+00
  8.0000E-01   2.750E-01   1.239E+00
  6.8750E-01   2.875E-01   2.000E+00
  7.3750E-01   2.875E-01   1.866E+00
  7.8750E-01   2.875E-01   1.281E+00
  6.7500E-01   3.000E-01   2.000E+00
  7.2500E-01   3.000E-01   1.979E+00
  7.7500E-01   3.000E-01   1.337E+00
  8.2500E-01   3.000E-01   1.189E+00
  7.1250E-01   3.125E-01   1.995E+00
  7.6250E-01   3.125E-01   1.455E+00
  8.1250E-01   3.125E-01   1.212E+00
  7.0000E-01   3.250E-01   1.999E+00
  7.5000E-01   3.250E-01   1.605E+00
  8.0000E-01   3.250E-01   1.239E+00
  6.8750E-01   3.375E-01   2.000E+00
  7.3750E-01   3.375E-01   1.862E+00
  7.8750E-01   3.375E-01   1.279E+00
  6.7500E-01   3.500E-01   2.000E+00
  7.2500E-01   3.500E-01   1.977E+00
  7.7500E-01   3.500E-01   1.332E+00
  8.2500E-01   3.500E-01   1.189E+00
  7.1250E-01   3.625E-01   1.993E+00
  7.6250E-01   3.625E-01   1.442E+00
  8.1250E-01   3.625E-01   1.211E+00
  7.0000E-01   3.750E-01   1.999E+00
  7.5000E-01   3.750E-01   1.585E+00
  8.0000E-01   3.750E-01   1.236E+00
  6.8750E-01   3.875E-01   2.000E+00
  7.3750E-01   3.875E-01   1.849E+00
  7.8750E-01   3.875E-01   1.274E+00
  6.7500E-01   4.000E-01   2.000E+00
  7.2500E-01   4.000E-01   1.972E+00
  7.7500E-01   4.000E-01   1.324E+00
  8.2500E-01   4.000E-01   1.187E+00
  7.1250E-01   4.125E-01   1.990E+00
  7.6250E-01   4.125E-01   1.420E+00
  8.1250E-01   4.125E-01   1.209E+00
  7.0000E-01   4.250E-01   1.997E+00
  7.5000E-01   4.250E-01   1.549E+00
  8.0000E-01   4.250E-01   1.233E+00
  6.8750E-01   4.375E-01   1.999E+00
  7.3750E-01   4.375E-01   1.813E+00
  7.8750E-01   4.375E-01   1.267E+00
  6.7500E-01   4.500E-01   2.000E+00
  7.2500E-01   4.500E-01   1.952E+00
  7.7500E-01   4.500E-01   1.310E+00
  8.2500E-01   4.500E-01   1.185E+00
  7.1250E-01   4.625E-01   1.976E+00
  7.6250E-01   4.625E-01   1.387E+00
  8.1250E-01   4.625E-01   1.206E+00
  6.7500E-01   4.750E-01   2.000E+00
  7.2500E-01   4.750E-01   1.924E+00
  7.7500E-01   4.750E-01   1.301E+00
  8.2500E-01   4.750E-01   1.184E+00
  6.8750E-01   4.875E-01   1.999E+00
  7.3750E-01   4.875E-01   1.714E+00
  7.8750E-01   4.875E-01   1.257E+00
  6.5000E-01   5.000E-01   2.000E+00
  7.0000E-01   5.000E-01   1.991E+00
  7.5000E-01   5.000E-01   1.454E+00
  8.0000E-01   5.000E-01   1.224E+00
  6.6250E-01   5.125E-01   2.000E+00
  7.1250E-01   5.125E-01   1.932E+00
  7.6250E-01   5.125E-01   1.346E+00
  6.5000E-01   5.250E-01   2.000E+00
  7.0000E-01   5.250E-01   1.986E+00
  7.5000E-01   5.250E-01   1.414E+00
  8.0000E-01   5.250E-01   1.219E+00
  6.8750E-01   5.375E-01   1.996E+00
  7.3750E-01   5.375E-01   1.545E+00
  7.8750E-01   5.375E-01   1.243E+00
  6.5000E-01   5.500E-01   2.000E+00
  7.0000E-01   5.500E-01   1.978E+00
  7.5000E-01   5.500E-01   1.373E+00
  8.0000E-01   5.500E-01   1.214E+00
  6.6250E-01   5.625E-01   1.999E+00
  7.1250E-01   5.625E-01   1.843E+00
  7.6250E-01   5.625E-01   1.302E+00
  6.2500E-01   5.750E-01   2.000E+00
  6.7500E-01   5.750E-01   1.995E+00
  7.2500E-01   5.750E-01   1.545E+00
  7.7500E-01   5.750E-01   1.256E+00
  6.3750E-01   5.875E-01   2.000E+00
  6.8750E-01   5.875E-01   1.954E+00
  7.3750E-01   5.875E-01   1.392E+00
  7.8750E-01   5.875E-01   1.226E+00
  6.2500E-01   6.000E-01   2.000E+00
  6.7500E-01   6.000E-01   1.984E+00
  7.2500E-01   6.000E-01   1.443E+00
  7.7500E-01   6.000E-01   1.243E+00
  6.1250E-01   6.125E-01   2.000E+00
  6.6250E-01   6.125E-01   1.988E+00
  7.1250E-01   6.125E-01   1.531E+00
  7.6250E-01   6.125E-01   1.263E+00
  5.5000E-01   6.250E-01   2.000E+00
  6.0000E-01   6.250E-01   2.000E+00
  6.5000E-01   6.250E-01   1.993E+00
  7.0000E-01   6.250E-01   1.577E+00
  7.5000E-01   6.250E-01   1.280E+00
  8.0000E-01   6.250E-01   1.194E+00
  5.8750E-01   6.375E-01   2.000E+00
  6.3750E-01   6.375E-01   1.992E+00
  6.8750E-01   6.375E-01   1.672E+00
  7.3750E-01   6.375E-01   1.300E+00
  4.7500E-01   6.500E-01   2.000E+00
  5.2500E-01   6.500E-01   2.000E+00
  5.7500E-01   6.500E-01   2.000E+00
  6.2500E-01   6.500E-01   1.993E+00
  6.7500E-01   6.500E-01   1.680E+00
  7.2500E-01   6.500E-01   1.314E+00
  7.7500E-01   6.500E-01   1.218E+00
  5.1250E-01   6.625E-01   2.000E+00
  5.6250E-01   6.625E-01   1.999E+00
  6.1250E-01   6.625E-01   1.988E+00
  6.6250E-01   6.625E-01   1.721E+00
  7.1250E-01   6.625E-01   1.331E+00
  7.6250E-01   6.625E-01   1.229E+00
  2.5000E-02   6.750E-01   2.000E+00
  7.5000E-02   6.750E-01   2.000E+00
  1.2500E-01   6.750E-01   2.000E+00
  1.7500E-01   6.750E-01   2.000E+00
  2.2500E-01   6.750E-01   2.000E+00
  2.7500E-01   6.750E-01   2.000E+00
  3.2500E-01   6.750E-01   2.000E+00
  3.7500E-01   6.750E-01   2.000E+00
  4.2500E-01   6.750E-01   2.000E+00
  4.7500E-01   6.750E-01   2.000E+00
  5.2500E-01   6.750E-01   2.000E+00
  5.7500E-01   6.750E-01   1.995E+00
  6.2500E-01   6.750E-01   1.932E+00
  6.7500E-01   6.750E-01   1.447E+00
  7.2500E-01   6.750E-01   1.277E+00
  7.7500E-01   6.750E-01   1.205E+00
  3.7500E-02   6.875E-01   2.000E+00
  8.7500E-02   6.875E-01   2.000E+00
  1.3750E-01   6.875E-01   2.000E+00
  1.8750E-01   6.875E-01   2.000E+00
  2.3750E-01   6.875E-01   2.000E+00
  2.8750E-01   6.875E-01   2.000E+00
  3.3750E-01   6.875E-01   2.000E+00
  3.8750E-01   6.875E-01   2.000E+00
  4.3750E-01   6.875E-01   1.999E+00
  4.8750E-01   6.875E-01   1.999E+00
  5.3750E-01   6.875E-01   1.996E+00
  5.8750E-01   6.875E-01   1.954E+00
  6.3750E-01   6.875E-01   1.672E+00
  6.8750E-01   6.875E-01   1.343E+00
  7.3750E-01   6.875E-01   1.244E+00
  2.5000E-02   7.000E-01   1.999E+00
  7.5000E-02   7.000E-01   1.999E+00
  1.2500E-01   7.000E-01   1.999E+00
  1.7500E-01   7.000E-01   1.999E+00
  2.2500E-01   7.000E-01   1.999E+00
  2.7500E-01   7.000E-01   1.999E+00
  3.2500E-01   7.000E-01   1.999E+00
  3.7500E-01   7.000E-01   1.999E+00
  4.2500E-01   7.000E-01   1.997E+00
  4.7500E-01   7.000E-01   1.994E+00
  5.2500E-01   7.000E-01   1.986E+00
  5.7500E-01   7.000E-01   1.941E+00
  6.2500E-01   7.000E-01   1.577E+00
  6.7500E-01   7.000E-01   1.336E+00
  7.2500E-01   7.000E-01   1.247E+00
  1.2500E-02   7.125E-01   1.996E+00
  6.2500E-02   7.125E-01   1.996E+00
  1.1250E-01   7.125E-01   1.995E+00
  1.6250E-01   7.125E-01   1.995E+00
  2.1250E-01   7.125E-01   1.995E+00
  2.6250E-01   7.125E-01   1.995E+00
  3.1250E-01   7.125E-01   1.995E+00
  3.6250E-01   7.125E-01   1.993E+00
  4.1250E-01   7.125E-01   1.990E+00
  4.6250E-01   7.125E-01   1.976E+00
  5.1250E-01   7.125E-01   1.932E+00
  5.6250E-01   7.125E-01   1.843E+00
  6.1250E-01   7.125E-01   1.531E+00
  6.6250E-01   7.125E-01   1.331E+00
  7.1250E-01   7.125E-01   1.250E+00
  2.5000E-02   7.250E-01   1.980E+00
  7.5000E-02   7.250E-01   1.980E+00
  1.2500E-01   7.250E-01   1.980E+00
  1.7500E-01   7.250E-01   1.980E+00
  2.2500E-01   7.250E-01   1.980E+00
  2.7500E-01   7.250E-01   1.979E+00
  3.2500E-01   7.250E-01   1.978E+00
  3.7500E-01   7.250E-01   1.975E+00
  4.2500E-01   7.250E-01   1.965E+00
  4.7500E-01   7.250E-01   1.924E+00
  5.2500E-01   7.250E-01   1.772E+00
  5.7500E-01   7.250E-01   1.545E+00
  6.2500E-01   7.250E-01   1.366E+00
  6.7500E-01   7.250E-01   1.277E+00
  7.2500E-01   7.250E-01   1.222E+00
  3.7500E-02   7.375E-01   1.870E+00
  8.7500E-02   7.375E-01   1.870E+00
  1.3750E-01   7.375E-01   1.870E+00
  1.8750E-01   7.375E-01   1.869E+00
  2.3750E-01   7.375E-01   1.868E+00
  2.8750E-01   7.375E-01   1.866E+00
  3.3750E-01   7.375E-01   1.862E+00
  3.8750E-01   7.375E-01   1.849E+00
  4.3750E-01   7.375E-01   1.813E+00
  4.8750E-01   7.375E-01   1.714E+00
  5.3750E-01   7.375E-01   1.545E+00
  5.8750E-01   7.375E-01   1.392E+00
  6.3750E-01   7.375E-01   1.300E+00
  6.8750E-01   7.375E-01   1.244E+00
  2.5000E-02   7.500E-01   1.625E+00
  7.5000E-02   7.500E-01   1.625E+00
  1.2500E-01   7.500E-01   1.625E+00
  1.7500E-01   7.500E-01   1.624E+00
  2.2500E-01   7.500E-01   1.621E+00
  2.7500E-01   7.500E-01   1.616E+00
  3.2500E-01   7.500E-01   1.605E+00
  3.7500E-01   7.500E-01   1.585E+00
  4.2500E-01   7.500E-01   1.549E+00
  4.7500E-01   7.500E-01   1.491E+00
  5.2500E-01   7.500E-01   1.414E+00
  5.7500E-01   7.500E-01   1.337E+00
  6.2500E-01   7.500E-01   1.280E+00
  6.7500E-01   7.500E-01   1.237E+00
  1.2500E-02   7.625E-01   1.468E+00
  6.2500E-02   7.625E-01   1.468E+00
  1.1250E-01   7.625E-01   1.468E+00
  1.6250E-01   7.625E-01   1.467E+00
  2.1250E-01   7.625E-01   1.465E+00
  2.6250E-01   7.625E-01   1.462E+00
  3.1250E-01   7.625E-01   1.455E+00
  3.6250E-01   7.625E-01   1.442E+00
  4.1250E-01   7.625E-01   1.420E+00
  4.6250E-01   7.625E-01   1.387E+00
  5.1250E-01   7.625E-01   1.345E+00
  5.6250E-01   7.625E-01   1.302E+00
  6.1250E-01   7.625E-01   1.263E+00
  6.6250E-01   7.625E-01   1.229E+00
  2.5000E-02   7.750E-01   1.342E+00
  7.5000E-02   7.750E-01   1.342E+00
  1.2500E-01   7.750E-01   1.342E+00
  1.7500E-01   7.750E-01   1.341E+00
  2.2500E-01   7.750E-01   1.340E+00
  2.7500E-01   7.750E-01   1.339E+00
  3.2500E-01   7.750E-01   1.335E+00
  3.7500E-01   7.750E-01   1.329E+00
  4.2500E-01   7.750E-01   1.317E+00
  4.7500E-01   7.750E-01   1.301E+00
  5.2500E-01   7.750E-01   1.280E+00
  5.7500E-01   7.750E-01   1.256E+00
  6.2500E-01   7.750E-01   1.231E+00
  6.7500E-01   7.750E-01   1.205E+00
  3.7500E-02   7.875E-01   1.283E+00
  8.7500E-02   7.875E-01   1.283E+00
  1.3750E-01   7.875E-01   1.283E+00
  1.8750E-01   7.875E-01   1.282E+00
  2.3750E-01   7.875E-01   1.282E+00
  2.8750E-01   7.875E-01   1.281E+00
  3.3750E-01   7.875E-01   1.279E+00
  3.8750E-01   7.875E-01   1.274E+00
  4.3750E-01   7.875E-01   1.267E+00
  4.8750E-01   7.875E-01   1.257E+00
  5.3750E-01   7.875E-01   1.243E+00
  5.8750E-01   7.875E-01   1.226E+00
  0.0000E+00   8.000E-01   1.240E+00
  5.0000E-02   8.000E-01   1.240E+00
  1.0000E-01   8.000E-01   1.240E+00
  1.5000E-01   8.000E-01   1.240E+00
  2.0000E-01   8.000E-01   1.240E+00
  2.5000E-01   8.000E-01   1.240E+00
  3.0000E-01   8.000E-01   1.239E+00
  3.5000E-01   8.000E-01   1.238E+00
  4.0000E-01   8.000E-01   1.235E+00
  4.5000E-01   8.000E-01   1.230E+00
  5.0000E-01   8.000E-01   1.224E+00
  5.5000E-01   8.000E-01   1.214E+00
  6.0000E-01   8.000E-01   1.202E+00
  1.2500E-02   8.125E-01   1.213E+00
  6.2500E-02   8.125E-01   1.213E+00
  1.1250E-01   8.125E-01   1.213E+00
  1.6250E-01   8.125E-01   1.213E+00
  2.1250E-01   8.125E-01   1.212E+00
  2.6250E-01   8.125E-01   1.212E+00
  3.1250E-01   8.125E-01   1.212E+00
  3.6250E-01   8.125E-01   1.211E+00
  4.1250E-01   8.125E-01   1.209E+00
  4.6250E-01   8.125E-01   1.206E+00
  0.0000E+00   8.250E-01   1.190E+00
  5.0000E-02   8.250E-01   1.190E+00
  1.0000E-01   8.250E-01   1.190E+00
  1.5000E-01   8.250E-01   1.190E+00
  2.0000E-01   8.250E-01   1.189E+00
  2.5000E-01   8.250E-01   1.189E+00
  3.0000E-01   8.250E-01   1.189E+00
  3.5000E-01   8.250E-01   1.189E+00
  4.0000E-01   8.250E-01   1.187E+00
  4.5000E-01   8.250E-01   1.185E+00
  5.0000E-01   8.250E-01   1.182E+00

 Time =   0.2500
 Total number of accepted timesteps =  161
 Total number of rejected timesteps =    2

             Total  number (rounded) of     
          Residual  Jacobian    Newton   Lin sys
             evals     evals     iters     iters
 At level 
       1      1000       200       400       400
       2       200        20        50        50

             Maximum  number of   
              Newton iters    Lin sys iters 
 At level 
       1             4             3
       2             4             1

 Example 2

 Time =   0.0100
 Total number of accepted timesteps =   14
 Total number of rejected timesteps =    0

             Total  number (rounded) of     
          Residual  Jacobian    Newton   Lin sys
             evals     evals     iters     iters
 At level 
       1       200        10        30        40
       2       200        10        20        30
       3        40         3         6         9

             Maximum  number of   
              Newton iters    Lin sys iters 
 At level 
       1             2             2
       2             2             2
       3             2             2

 Solution at every 2nd grid point in level         3 at time   0.0250:

       x          y         approx c1   approx c2

   0.000E+00   0.000E+00    6.997E+01    6.996E+05
   5.000E-02   0.000E+00    7.282E+01    7.281E+05
   1.000E-01   0.000E+00    7.567E+01    7.566E+05
   1.500E-01   0.000E+00    6.957E+01    6.956E+05
   2.000E-01   0.000E+00    5.387E+01    5.386E+05
   2.500E-01   0.000E+00    3.536E+01    3.536E+05
   3.000E-01   0.000E+00    2.107E+01    2.108E+05
   3.500E-01   0.000E+00    1.370E+01    1.371E+05
   4.000E-01   0.000E+00    1.300E+01    1.301E+05
   4.500E-01   0.000E+00    1.859E+01    1.859E+05
   5.000E-01   0.000E+00    3.003E+01    3.003E+05
   5.500E-01   0.000E+00    4.434E+01    4.433E+05
   6.000E-01   0.000E+00    5.473E+01    5.472E+05
   6.500E-01   0.000E+00    5.469E+01    5.468E+05
   7.000E-01   0.000E+00    4.413E+01    4.413E+05
   7.500E-01   0.000E+00    2.943E+01    2.944E+05
   8.000E-01   0.000E+00    1.712E+01    1.713E+05
   8.500E-01   0.000E+00    9.594E+00    9.601E+04
   9.000E-01   0.000E+00    6.033E+00    6.040E+04
   9.500E-01   0.000E+00    4.825E+00    4.829E+04
   1.000E+00   0.000E+00    4.607E+00    4.609E+04
   2.500E-02   2.500E-02    7.150E+01    7.150E+05
   7.500E-02   2.500E-02    7.646E+01    7.646E+05
   1.250E-01   2.500E-02    7.586E+01    7.585E+05
   1.750E-01   2.500E-02    6.394E+01    6.394E+05
   2.250E-01   2.500E-02    4.495E+01    4.494E+05
   2.750E-01   2.500E-02    2.736E+01    2.736E+05
   3.250E-01   2.500E-02    1.628E+01    1.629E+05
   3.750E-01   2.500E-02    1.231E+01    1.232E+05
   4.250E-01   2.500E-02    1.481E+01    1.481E+05
   4.750E-01   2.500E-02    2.364E+01    2.364E+05
   5.250E-01   2.500E-02    3.764E+01    3.764E+05
   5.750E-01   2.500E-02    5.170E+01    5.169E+05
   6.250E-01   2.500E-02    5.776E+01    5.775E+05
   6.750E-01   2.500E-02    5.161E+01    5.160E+05
   7.250E-01   2.500E-02    3.731E+01    3.731E+05
   7.750E-01   2.500E-02    2.274E+01    2.275E+05
   8.250E-01   2.500E-02    1.266E+01    1.266E+05
   8.750E-01   2.500E-02    7.348E+00    7.358E+04
   9.250E-01   2.500E-02    5.237E+00    5.245E+04
   9.750E-01   2.500E-02    4.739E+00    4.742E+04
   0.000E+00   5.000E-02    7.282E+01    7.281E+05
   5.000E-02   5.000E-02    7.745E+01    7.744E+05
   1.000E-01   5.000E-02    8.280E+01    8.278E+05
   1.500E-01   5.000E-02    7.633E+01    7.631E+05
   2.000E-01   5.000E-02    5.756E+01    5.755E+05
   2.500E-01   5.000E-02    3.603E+01    3.603E+05
   3.000E-01   5.000E-02    2.036E+01    2.037E+05
   3.500E-01   5.000E-02    1.273E+01    1.275E+05
   4.000E-01   5.000E-02    1.209E+01    1.210E+05
   4.500E-01   5.000E-02    1.799E+01    1.800E+05
   5.000E-01   5.000E-02    3.070E+01    3.071E+05
   5.500E-01   5.000E-02    4.762E+01    4.761E+05
   6.000E-01   5.000E-02    6.050E+01    6.048E+05
   6.500E-01   5.000E-02    6.048E+01    6.047E+05
   7.000E-01   5.000E-02    4.750E+01    4.749E+05
   7.500E-01   5.000E-02    3.026E+01    3.026E+05
   8.000E-01   5.000E-02    1.679E+01    1.681E+05
   8.500E-01   5.000E-02    9.182E+00    9.200E+04
   9.000E-01   5.000E-02    5.901E+00    5.918E+04
   9.500E-01   5.000E-02    5.010E+00    5.021E+04
   1.000E+00   5.000E-02    4.957E+00    4.961E+04
   2.500E-02   7.500E-02    7.646E+01    7.646E+05
   7.500E-02   7.500E-02    8.585E+01    8.583E+05
   1.250E-01   7.500E-02    8.738E+01    8.735E+05
   1.750E-01   7.500E-02    7.236E+01    7.234E+05
   2.250E-01   7.500E-02    4.806E+01    4.805E+05
   2.750E-01   7.500E-02    2.701E+01    2.702E+05
   3.250E-01   7.500E-02    1.491E+01    1.493E+05
   3.750E-01   7.500E-02    1.091E+01    1.094E+05
   4.250E-01   7.500E-02    1.361E+01    1.363E+05
   4.750E-01   7.500E-02    2.348E+01    2.349E+05
   5.250E-01   7.500E-02    4.057E+01    4.056E+05
   5.750E-01   7.500E-02    5.914E+01    5.912E+05
   6.250E-01   7.500E-02    6.756E+01    6.754E+05
   6.750E-01   7.500E-02    5.918E+01    5.916E+05
   7.250E-01   7.500E-02    4.047E+01    4.047E+05
   7.750E-01   7.500E-02    2.296E+01    2.297E+05
   8.250E-01   7.500E-02    1.211E+01    1.213E+05
   8.750E-01   7.500E-02    7.095E+00    7.120E+04
   9.250E-01   7.500E-02    5.522E+00    5.542E+04
   9.750E-01   7.500E-02    5.505E+00    5.512E+04
   0.000E+00   1.000E-01    7.567E+01    7.566E+05
   5.000E-02   1.000E-01    8.280E+01    8.278E+05
   1.000E-01   1.000E-01    9.189E+01    9.187E+05
   1.500E-01   1.000E-01    8.513E+01    8.510E+05
   2.000E-01   1.000E-01    6.222E+01    6.220E+05
   2.500E-01   1.000E-01    3.676E+01    3.676E+05
   3.000E-01   1.000E-01    1.947E+01    1.949E+05
   3.500E-01   1.000E-01    1.168E+01    1.170E+05
   4.000E-01   1.000E-01    1.114E+01    1.116E+05
   4.500E-01   1.000E-01    1.738E+01    1.739E+05
   5.000E-01   1.000E-01    3.167E+01    3.167E+05
   5.500E-01   1.000E-01    5.212E+01    5.211E+05
   6.000E-01   1.000E-01    6.856E+01    6.853E+05
   6.500E-01   1.000E-01    6.864E+01    6.861E+05
   7.000E-01   1.000E-01    5.228E+01    5.226E+05
   7.500E-01   1.000E-01    3.165E+01    3.165E+05
   8.000E-01   1.000E-01    1.682E+01    1.684E+05
   8.500E-01   1.000E-01    9.289E+00    9.317E+04
   9.000E-01   1.000E-01    6.561E+00    6.590E+04
   9.500E-01   1.000E-01    6.305E+00    6.322E+04
   1.000E+00   1.000E-01    6.594E+00    6.600E+04
   2.500E-02   1.250E-01    7.586E+01    7.585E+05
   7.500E-02   1.250E-01    8.738E+01    8.735E+05
   1.250E-01   1.250E-01    9.027E+01    9.024E+05
   1.750E-01   1.250E-01    7.438E+01    7.436E+05
   2.250E-01   1.250E-01    4.841E+01    4.840E+05
   2.750E-01   1.250E-01    2.662E+01    2.663E+05
   3.250E-01   1.250E-01    1.465E+01    1.467E+05
   3.750E-01   1.250E-01    1.087E+01    1.090E+05
   4.250E-01   1.250E-01    1.355E+01    1.358E+05
   4.750E-01   1.250E-01    2.351E+01    2.352E+05
   5.250E-01   1.250E-01    4.148E+01    4.147E+05
   5.750E-01   1.250E-01    6.178E+01    6.175E+05
   6.250E-01   1.250E-01    7.124E+01    7.121E+05
   6.750E-01   1.250E-01    6.205E+01    6.203E+05
   7.250E-01   1.250E-01    4.183E+01    4.182E+05
   7.750E-01   1.250E-01    2.364E+01    2.365E+05
   8.250E-01   1.250E-01    1.302E+01    1.304E+05
   8.750E-01   1.250E-01    8.572E+00    8.603E+04
   9.250E-01   1.250E-01    7.650E+00    7.675E+04
   9.750E-01   1.250E-01    8.236E+00    8.245E+04
   0.000E+00   1.500E-01    6.957E+01    6.956E+05
   5.000E-02   1.500E-01    7.633E+01    7.631E+05
   1.000E-01   1.500E-01    8.513E+01    8.510E+05
   1.500E-01   1.500E-01    7.927E+01    7.924E+05
   2.000E-01   1.500E-01    5.845E+01    5.844E+05
   2.500E-01   1.500E-01    3.536E+01    3.536E+05
   3.000E-01   1.500E-01    1.982E+01    1.984E+05
   3.500E-01   1.500E-01    1.289E+01    1.292E+05
   4.000E-01   1.500E-01    1.245E+01    1.248E+05
   4.500E-01   1.500E-01    1.809E+01    1.811E+05
   5.000E-01   1.500E-01    3.108E+01    3.108E+05
   5.500E-01   1.500E-01    4.985E+01    4.983E+05
   6.000E-01   1.500E-01    6.509E+01    6.506E+05
   6.500E-01   1.500E-01    6.532E+01    6.529E+05
   7.000E-01   1.500E-01    5.043E+01    5.041E+05
   7.500E-01   1.500E-01    3.175E+01    3.175E+05
   8.000E-01   1.500E-01    1.852E+01    1.853E+05
   8.500E-01   1.500E-01    1.204E+01    1.207E+05
   9.000E-01   1.500E-01    1.005E+01    1.007E+05
   9.500E-01   1.500E-01    1.043E+01    1.045E+05
   1.000E+00   1.500E-01    1.106E+01    1.106E+05
   2.500E-02   1.750E-01    6.394E+01    6.394E+05
   7.500E-02   1.750E-01    7.236E+01    7.234E+05
   1.250E-01   1.750E-01    7.438E+01    7.436E+05
   1.750E-01   1.750E-01    6.250E+01    6.248E+05
   2.250E-01   1.750E-01    4.296E+01    4.295E+05
   2.750E-01   1.750E-01    2.634E+01    2.635E+05
   3.250E-01   1.750E-01    1.704E+01    1.706E+05
   3.750E-01   1.750E-01    1.408E+01    1.410E+05
   4.250E-01   1.750E-01    1.619E+01    1.621E+05
   4.750E-01   1.750E-01    2.393E+01    2.394E+05
   5.250E-01   1.750E-01    3.768E+01    3.767E+05
   5.750E-01   1.750E-01    5.302E+01    5.300E+05
   6.250E-01   1.750E-01    6.022E+01    6.020E+05
   6.750E-01   1.750E-01    5.361E+01    5.359E+05
   7.250E-01   1.750E-01    3.870E+01    3.869E+05
   7.750E-01   1.750E-01    2.512E+01    2.513E+05
   8.250E-01   1.750E-01    1.719E+01    1.721E+05
   8.750E-01   1.750E-01    1.407E+01    1.409E+05
   9.250E-01   1.750E-01    1.381E+01    1.383E+05
   9.750E-01   1.750E-01    1.479E+01    1.480E+05
   0.000E+00   2.000E-01    5.387E+01    5.386E+05
   5.000E-02   2.000E-01    5.756E+01    5.755E+05
   1.000E-01   2.000E-01    6.222E+01    6.220E+05
   1.500E-01   2.000E-01    5.845E+01    5.844E+05
   2.000E-01   2.000E-01    4.603E+01    4.602E+05
   2.500E-01   2.000E-01    3.208E+01    3.208E+05
   3.000E-01   2.000E-01    2.249E+01    2.250E+05
   3.500E-01   2.000E-01    1.815E+01    1.817E+05
   4.000E-01   2.000E-01    1.783E+01    1.785E+05
   4.500E-01   2.000E-01    2.125E+01    2.126E+05
   5.000E-01   2.000E-01    2.913E+01    2.913E+05
   5.500E-01   2.000E-01    4.033E+01    4.032E+05
   6.000E-01   2.000E-01    4.935E+01    4.933E+05
   6.500E-01   2.000E-01    4.973E+01    4.972E+05
   7.000E-01   2.000E-01    4.145E+01    4.144E+05
   7.500E-01   2.000E-01    3.086E+01    3.086E+05
   8.000E-01   2.000E-01    2.340E+01    2.341E+05
   8.500E-01   2.000E-01    1.997E+01    1.998E+05
   9.000E-01   2.000E-01    1.916E+01    1.918E+05
   9.500E-01   2.000E-01    1.973E+01    1.974E+05
   1.000E+00   2.000E-01    2.031E+01    2.031E+05
   2.500E-02   2.250E-01    4.495E+01    4.494E+05
   7.500E-02   2.250E-01    4.806E+01    4.805E+05
   1.250E-01   2.250E-01    4.841E+01    4.840E+05
   1.750E-01   2.250E-01    4.296E+01    4.295E+05
   2.250E-01   2.250E-01    3.441E+01    3.440E+05
   2.750E-01   2.250E-01    2.736E+01    2.736E+05
   3.250E-01   2.250E-01    2.372E+01    2.373E+05
   3.750E-01   2.250E-01    2.262E+01    2.263E+05
   4.250E-01   2.250E-01    2.316E+01    2.317E+05
   4.750E-01   2.250E-01    2.585E+01    2.586E+05
   5.250E-01   2.250E-01    3.130E+01    3.130E+05
   5.750E-01   2.250E-01    3.770E+01    3.769E+05
   6.250E-01   2.250E-01    4.091E+01    4.090E+05
   6.750E-01   2.250E-01    3.863E+01    3.862E+05
   7.250E-01   2.250E-01    3.321E+01    3.321E+05
   7.750E-01   2.250E-01    2.881E+01    2.881E+05
   8.250E-01   2.250E-01    2.704E+01    2.704E+05
   8.750E-01   2.250E-01    2.685E+01    2.685E+05
   9.250E-01   2.250E-01    2.695E+01    2.696E+05
   9.750E-01   2.250E-01    2.714E+01    2.714E+05
   0.000E+00   2.500E-01    3.536E+01    3.536E+05
   5.000E-02   2.500E-01    3.603E+01    3.603E+05
   1.000E-01   2.500E-01    3.676E+01    3.676E+05
   1.500E-01   2.500E-01    3.536E+01    3.536E+05
   2.000E-01   2.500E-01    3.208E+01    3.208E+05
   2.500E-01   2.500E-01    2.934E+01    2.934E+05
   3.000E-01   2.500E-01    2.875E+01    2.875E+05
   3.500E-01   2.500E-01    2.932E+01    2.932E+05
   4.000E-01   2.500E-01    2.914E+01    2.914E+05
   4.500E-01   2.500E-01    2.808E+01    2.808E+05
   5.000E-01   2.500E-01    2.782E+01    2.782E+05
   5.500E-01   2.500E-01    2.935E+01    2.935E+05
   6.000E-01   2.500E-01    3.135E+01    3.135E+05
   6.500E-01   2.500E-01    3.187E+01    3.187E+05
   7.000E-01   2.500E-01    3.106E+01    3.105E+05
   7.500E-01   2.500E-01    3.106E+01    3.106E+05
   8.000E-01   2.500E-01    3.316E+01    3.316E+05
   8.500E-01   2.500E-01    3.594E+01    3.594E+05
   9.000E-01   2.500E-01    3.702E+01    3.702E+05
   9.500E-01   2.500E-01    3.612E+01    3.612E+05
   1.000E+00   2.500E-01    3.540E+01    3.540E+05
   2.500E-02   2.750E-01    2.736E+01    2.736E+05
   7.500E-02   2.750E-01    2.701E+01    2.702E+05
   1.250E-01   2.750E-01    2.662E+01    2.663E+05
   1.750E-01   2.750E-01    2.634E+01    2.635E+05
   2.250E-01   2.750E-01    2.736E+01    2.736E+05
   2.750E-01   2.750E-01    3.081E+01    3.080E+05
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   3.000E-01   6.000E-01    1.914E+01    1.915E+05
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   4.250E-01   8.750E-01    7.551E+01    7.548E+05
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   2.500E-01   9.000E-01    3.702E+01    3.702E+05
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   4.000E-01   9.000E-01    8.350E+01    8.347E+05
   4.500E-01   9.000E-01    6.485E+01    6.483E+05
   5.000E-01   9.000E-01    4.064E+01    4.064E+05
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   6.000E-01   9.000E-01    1.630E+01    1.633E+05
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   7.500E-01   9.000E-01    5.974E+01    5.973E+05
   8.000E-01   9.000E-01    9.928E+01    9.926E+05
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   9.000E-01   9.000E-01    1.446E+02    1.446E+06
   9.500E-01   9.000E-01    1.316E+02    1.316E+06
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   2.500E-02   9.250E-01    5.237E+00    5.245E+04
   7.500E-02   9.250E-01    5.522E+00    5.542E+04
   1.250E-01   9.250E-01    7.650E+00    7.675E+04
   1.750E-01   9.250E-01    1.381E+01    1.383E+05
   2.250E-01   9.250E-01    2.695E+01    2.695E+05
   2.750E-01   9.250E-01    4.818E+01    4.817E+05
   3.250E-01   9.250E-01    7.114E+01    7.112E+05
   3.750E-01   9.250E-01    8.219E+01    8.216E+05
   4.250E-01   9.250E-01    7.322E+01    7.320E+05
   4.750E-01   9.250E-01    5.155E+01    5.154E+05
   5.250E-01   9.250E-01    3.106E+01    3.106E+05
   5.750E-01   9.250E-01    1.927E+01    1.929E+05
   6.250E-01   9.250E-01    1.700E+01    1.702E+05
   6.750E-01   9.250E-01    2.457E+01    2.459E+05
   7.250E-01   9.250E-01    4.458E+01    4.458E+05
   7.750E-01   9.250E-01    7.785E+01    7.784E+05
   8.250E-01   9.250E-01    1.151E+02    1.151E+06
   8.750E-01   9.250E-01    1.379E+02    1.379E+06
   9.250E-01   9.250E-01    1.362E+02    1.361E+06
   9.750E-01   9.250E-01    1.225E+02    1.225E+06
   0.000E+00   9.500E-01    4.825E+00    4.829E+04
   5.000E-02   9.500E-01    5.010E+00    5.021E+04
   1.000E-01   9.500E-01    6.305E+00    6.322E+04
   1.500E-01   9.500E-01    1.043E+01    1.045E+05
   2.000E-01   9.500E-01    1.973E+01    1.974E+05
   2.500E-01   9.500E-01    3.612E+01    3.612E+05
   3.000E-01   9.500E-01    5.724E+01    5.723E+05
   3.500E-01   9.500E-01    7.359E+01    7.357E+05
   4.000E-01   9.500E-01    7.465E+01    7.463E+05
   4.500E-01   9.500E-01    6.004E+01    6.003E+05
   5.000E-01   9.500E-01    4.000E+01    4.000E+05
   5.500E-01   9.500E-01    2.472E+01    2.473E+05
   6.000E-01   9.500E-01    1.813E+01    1.814E+05
   6.500E-01   9.500E-01    2.076E+01    2.078E+05
   7.000E-01   9.500E-01    3.397E+01    3.398E+05
   7.500E-01   9.500E-01    5.934E+01    5.933E+05
   8.000E-01   9.500E-01    9.289E+01    9.288E+05
   8.500E-01   9.500E-01    1.215E+02    1.215E+06
   9.000E-01   9.500E-01    1.316E+02    1.316E+06
   9.500E-01   9.500E-01    1.240E+02    1.240E+06
   1.000E+00   9.500E-01    1.173E+02    1.173E+06
   2.500E-02   9.750E-01    4.739E+00    4.742E+04
   7.500E-02   9.750E-01    5.505E+00    5.512E+04
   1.250E-01   9.750E-01    8.236E+00    8.245E+04
   1.750E-01   9.750E-01    1.479E+01    1.480E+05
   2.250E-01   9.750E-01    2.714E+01    2.714E+05
   2.750E-01   9.750E-01    4.500E+01    4.499E+05
   3.250E-01   9.750E-01    6.278E+01    6.277E+05
   3.750E-01   9.750E-01    7.107E+01    7.105E+05
   4.250E-01   9.750E-01    6.474E+01    6.473E+05
   4.750E-01   9.750E-01    4.841E+01    4.840E+05
   5.250E-01   9.750E-01    3.169E+01    3.169E+05
   5.750E-01   9.750E-01    2.131E+01    2.132E+05
   6.250E-01   9.750E-01    1.949E+01    1.950E+05
   6.750E-01   9.750E-01    2.718E+01    2.719E+05
   7.250E-01   9.750E-01    4.567E+01    4.567E+05
   7.750E-01   9.750E-01    7.362E+01    7.361E+05
   8.250E-01   9.750E-01    1.029E+02    1.029E+06
   8.750E-01   9.750E-01    1.211E+02    1.211E+06
   9.250E-01   9.750E-01    1.225E+02    1.224E+06
   9.750E-01   9.750E-01    1.154E+02    1.154E+06
   0.000E+00   1.000E+00    4.607E+00    4.608E+04
   5.000E-02   1.000E+00    4.957E+00    4.961E+04
   1.000E-01   1.000E+00    6.594E+00    6.600E+04
   1.500E-01   1.000E+00    1.106E+01    1.106E+05
   2.000E-01   1.000E+00    2.031E+01    2.031E+05
   2.500E-01   1.000E+00    3.540E+01    3.540E+05
   3.000E-01   1.000E+00    5.355E+01    5.354E+05
   3.500E-01   1.000E+00    6.699E+01    6.698E+05
   4.000E-01   1.000E+00    6.800E+01    6.799E+05
   4.500E-01   1.000E+00    5.629E+01    5.629E+05
   5.000E-01   1.000E+00    3.940E+01    3.940E+05
   5.500E-01   1.000E+00    2.575E+01    2.575E+05
   6.000E-01   1.000E+00    1.967E+01    1.967E+05
   6.500E-01   1.000E+00    2.250E+01    2.250E+05
   7.000E-01   1.000E+00    3.539E+01    3.539E+05
   7.500E-01   1.000E+00    5.860E+01    5.860E+05
   8.000E-01   1.000E+00    8.753E+01    8.752E+05
   8.500E-01   1.000E+00    1.115E+02    1.115E+06
   9.000E-01   1.000E+00    1.211E+02    1.210E+06
   9.500E-01   1.000E+00    1.173E+02    1.173E+06
   1.000E+00   1.000E+00    1.132E+02    1.132E+06

 Time =   0.0250
 Total number of accepted timesteps =   29
 Total number of rejected timesteps =    0

             Total  number (rounded) of     
          Residual  Jacobian    Newton   Lin sys
             evals     evals     iters     iters
 At level 
       1       400        30        60        90
       2       400        30        50        80
       3       300        20        40        50

             Maximum  number of   
              Newton iters    Lin sys iters 
 At level 
       1             2             2
       2             2             2
       3             2             2