1DIMPLING OF SPHERICAL CAPS.
 GAMMA =   1.10
  XT = 0.42640E+00
 EPS = 0.10000E-01
  MU = 0.10000E-01
 EPS**4/MU = 0.10000E-05



 THE NUMBER OF (NONLINEAR) DIFF EQNS IS   2
 THEIR ORDERS ARE  2  2
 SIDE CONDITION POINTS ZETA  0.000000  0.000000  1.000000  1.000000
 NUMBER OF COLLOC PTS PER INTERVAL IS  4
 COMPONENTS OF Z REQUIRING TOLERANCES -        1         2         3         4
 CORRESPONDING ERROR TOLERANCES -        0.10E-04  0.10E-04  0.10E-04  0.10E-04
 THE MAXIMUM NUMBER OF SUBINTERVALS IS MIN ( 197 (ALLOWED FROM FSPACE), 192 (ALLOWED FROM ISPACE) )

 THE NEW MESH (OF   10 SUBINTERVALS), 
    0.000000    0.100000    0.200000    0.300000    0.400000    0.500000    0.600000    0.700000
    0.800000    0.900000    1.000000

 FULL DAMPED NEWTON ITERATION,
 ITERATION =   1  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.20E+02 TO  0.18E+01
 NORM   OF   RHS  CHANGES  FROM    0.18E+01 TO  0.13E+04
 ITERATION =   2  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.90E-01 TO  0.17E-02
 NORM   OF   RHS  CHANGES  FROM    0.13E+04 TO  0.75E+01
 ITERATION =   3  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.17E-02 TO  0.24E-04
 NORM   OF   RHS  CHANGES  FROM    0.75E+01 TO  0.34E-01
 ITERATION =   4  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.24E-04 TO  0.40E-04
 NORM   OF   RHS  CHANGES  FROM    0.34E-01 TO  0.25E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.36E+00
 NORM OF SCALED RHS CHANGES FROM   0.24E-04 TO  0.39E-04
 NORM   OF   RHS  CHANGES  FROM    0.34E-01 TO  0.26E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.95E-01
 NORM OF SCALED RHS CHANGES FROM   0.24E-04 TO  0.40E-04
 NORM   OF   RHS  CHANGES  FROM    0.34E-01 TO  0.28E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.13E-01
 NORM OF SCALED RHS CHANGES FROM   0.24E-04 TO  0.33E-04
 NORM   OF   RHS  CHANGES  FROM    0.34E-01 TO  0.34E-01

 NO CONVERGENCE,  RELAXATION FACTOR = 0.913E-03 IS TOO SMALL (LESS THAN 0.100E-02)


 THE NEW MESH (OF   20 SUBINTERVALS), 
    0.000000    0.050000    0.100000    0.150000    0.200000    0.250000    0.300000    0.350000
    0.400000    0.450000    0.500000    0.550000    0.600000    0.650000    0.700000    0.750000
    0.800000    0.850000    0.900000    0.950000    1.000000

 FULL DAMPED NEWTON ITERATION,
 RELAXATION FACTOR CORRECTED TO RELAX =   0.10E-01
 NORM OF SCALED RHS CHANGES FROM   0.59E+00 TO  0.59E+00
 NORM   OF   RHS  CHANGES  FROM    0.33E+04 TO  0.32E+04
 ITERATION =   2  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.59E+00 TO  0.81E-01
 NORM   OF   RHS  CHANGES  FROM    0.32E+04 TO  0.16E+02
 ITERATION =   3  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.84E-01 TO  0.19E-02
 NORM   OF   RHS  CHANGES  FROM    0.16E+02 TO  0.79E+00
 ITERATION =   4  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.16E-02 TO  0.45E-04
 NORM   OF   RHS  CHANGES  FROM    0.79E+00 TO  0.28E-01
 ITERATION =   5  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.45E-04 TO  0.30E-04
 NORM   OF   RHS  CHANGES  FROM    0.28E-01 TO  0.26E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.65E+00
 NORM OF SCALED RHS CHANGES FROM   0.45E-04 TO  0.29E-04
 NORM   OF   RHS  CHANGES  FROM    0.28E-01 TO  0.22E-01
 ITERATION =   6  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.29E-04 TO  0.50E-04
 NORM   OF   RHS  CHANGES  FROM    0.22E-01 TO  0.24E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.35E+00
 NORM OF SCALED RHS CHANGES FROM   0.29E-04 TO  0.36E-04
 NORM   OF   RHS  CHANGES  FROM    0.22E-01 TO  0.22E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.12E+00
 NORM OF SCALED RHS CHANGES FROM   0.29E-04 TO  0.43E-04
 NORM   OF   RHS  CHANGES  FROM    0.22E-01 TO  0.20E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.22E-01
 NORM OF SCALED RHS CHANGES FROM   0.29E-04 TO  0.34E-04
 NORM   OF   RHS  CHANGES  FROM    0.22E-01 TO  0.22E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.29E-02
 NORM OF SCALED RHS CHANGES FROM   0.29E-04 TO  0.41E-04
 NORM   OF   RHS  CHANGES  FROM    0.22E-01 TO  0.22E-01

 NO CONVERGENCE,  RELAXATION FACTOR = 0.880E-04 IS TOO SMALL (LESS THAN 0.100E-02)


 THE NEW MESH (OF   40 SUBINTERVALS), 
    0.000000    0.025000    0.050000    0.075000    0.100000    0.125000    0.150000    0.175000
    0.200000    0.225000    0.250000    0.275000    0.300000    0.325000    0.350000    0.375000
    0.400000    0.425000    0.450000    0.475000    0.500000    0.525000    0.550000    0.575000
    0.600000    0.625000    0.650000    0.675000    0.700000    0.725000    0.750000    0.775000
    0.800000    0.825000    0.850000    0.875000    0.900000    0.925000    0.950000    0.975000
    1.000000

 FULL DAMPED NEWTON ITERATION,
 RELAXATION FACTOR CORRECTED TO RELAX =   0.10E-01
 NORM OF SCALED RHS CHANGES FROM   0.23E+00 TO  0.23E+00
 NORM   OF   RHS  CHANGES  FROM    0.20E+04 TO  0.20E+04
 RELAXATION FACTOR CORRECTED TO RELAX =   0.79E-01
 NORM OF SCALED RHS CHANGES FROM   0.23E+00 TO  0.21E+00
 NORM   OF   RHS  CHANGES  FROM    0.20E+04 TO  0.19E+04
 ITERATION =   2  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.23E+00 TO  0.15E-02
 NORM   OF   RHS  CHANGES  FROM    0.19E+04 TO  0.18E+01
 ITERATION =   3  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.15E-02 TO  0.42E-04
 NORM   OF   RHS  CHANGES  FROM    0.18E+01 TO  0.28E-01
 ITERATION =   4  RELAXATION FACTOR =   0.10E+01
 NORM OF SCALED RHS CHANGES FROM   0.42E-04 TO  0.46E-04
 NORM   OF   RHS  CHANGES  FROM    0.28E-01 TO  0.22E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.47E+00
 NORM OF SCALED RHS CHANGES FROM   0.42E-04 TO  0.37E-04
 NORM   OF   RHS  CHANGES  FROM    0.28E-01 TO  0.23E-01
 ITERATION =   5  RELAXATION FACTOR =   0.84E+00
 NORM OF SCALED RHS CHANGES FROM   0.37E-04 TO  0.27E-04
 NORM   OF   RHS  CHANGES  FROM    0.23E-01 TO  0.22E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.56E+00
 NORM OF SCALED RHS CHANGES FROM   0.37E-04 TO  0.38E-04
 NORM   OF   RHS  CHANGES  FROM    0.23E-01 TO  0.19E-01
 RELAXATION FACTOR CORRECTED TO RELAX =   0.27E+00
 NORM OF SCALED RHS CHANGES FROM   0.37E-04 TO  0.35E-04
 NORM   OF   RHS  CHANGES  FROM    0.23E-01 TO  0.18E-01
 ITERATION =   6  RELAXATION FACTOR =   0.42E+00
 NORM OF SCALED RHS CHANGES FROM   0.35E-04 TO  0.22E-04
 NORM   OF   RHS  CHANGES  FROM    0.18E-01 TO  0.16E-01

 CONVERGENCE AFTER  6 ITERATIONS

 MESH VALUES FOR Z( 1),
   0.0000000E+00  0.5103486E-01  0.1020697E+00  0.1531045E+00  0.2041394E+00  0.2551742E+00  0.3062093E+00  0.3572443E+00
   0.4082789E+00  0.4593147E+00  0.5103515E+00  0.5613917E+00  0.6124498E+00  0.6635814E+00  0.7152767E+00  0.7725207E+00
   0.8321437E+00  0.4632293E+00  0.1773721E-01  0.1527222E-01  0.2251088E-01  0.2454934E-01  0.2586672E-01  0.2702874E-01
   0.2810018E-01  0.2907515E-01  0.2991287E-01  0.3054580E-01  0.3087753E-01  0.3077536E-01  0.3004518E-01  0.2842548E-01
   0.2555152E-01  0.2091994E-01  0.1381494E-01  0.3216278E-02 -0.1237716E-01 -0.3525625E-01 -0.6909956E-01 -0.1189076E+00
   0.0000000E+00
 MESH VALUES FOR Z( 2),
   0.2041395E+01  0.2041397E+01  0.2041399E+01  0.2041389E+01  0.2041400E+01  0.2041419E+01  0.2041402E+01  0.2041420E+01
   0.2041376E+01  0.2041424E+01  0.2041596E+01  0.2041643E+01  0.2043187E+01  0.2049452E+01  0.2106429E+01  0.2625562E+01
  -0.2452015E+00 -0.2908335E+02 -0.3576298E+01  0.5679451E+00  0.1238596E+00  0.5956756E-01  0.4840896E-01  0.4462003E-01
   0.4103318E-01  0.3661480E-01  0.2989902E-01  0.2000704E-01  0.5572095E-02 -0.1517422E-01 -0.4497063E-01 -0.8699761E-01
  -0.1461740E+00 -0.2292288E+00 -0.3459125E+00 -0.5117421E+00 -0.7505251E+00 -0.1103341E+01 -0.1640127E+01 -0.1787116E+01
   0.1026954E+03
 MESH VALUES FOR Z( 3),
  -0.2569270E-16 -0.2260762E-01 -0.4526476E-01 -0.6802092E-01 -0.9092563E-01 -0.1140284E+00 -0.1373787E+00 -0.1610261E+00
  -0.1850201E+00 -0.2094103E+00 -0.2342460E+00 -0.2595772E+00 -0.2854535E+00 -0.3119262E+00 -0.3390529E+00 -0.3669460E+00
  -0.3961242E+00 -0.4251850E+00 -0.4453998E+00 -0.4631465E+00 -0.4803599E+00 -0.4965838E+00 -0.5116917E+00 -0.5256186E+00
  -0.5383108E+00 -0.5497205E+00 -0.5598053E+00 -0.5685307E+00 -0.5758737E+00 -0.5818286E+00 -0.5864140E+00 -0.5896845E+00
  -0.5917453E+00 -0.5927736E+00 -0.5930493E+00 -0.5929980E+00 -0.5932559E+00 -0.5947692E+00 -0.5989527E+00 -0.6079643E+00
  -0.6251594E+00
 MESH VALUES FOR Z( 4),
  -0.9039750E+00 -0.9049650E+00 -0.9079359E+00 -0.9128876E+00 -0.9198189E+00 -0.9287312E+00 -0.9396253E+00 -0.9524972E+00
  -0.9673524E+00 -0.9841875E+00 -0.1003007E+01 -0.1023817E+01 -0.1046633E+01 -0.1071551E+01 -0.1099164E+01 -0.1135093E+01
  -0.1205453E+01 -0.1004371E+01 -0.7135364E+00 -0.7042585E+00 -0.6700727E+00 -0.6271480E+00 -0.5810729E+00 -0.5327164E+00
  -0.4823391E+00 -0.4301493E+00 -0.3764037E+00 -0.3214776E+00 -0.2659257E+00 -0.2105772E+00 -0.1566054E+00 -0.1057148E+00
  -0.6030193E-01 -0.2380013E-01 -0.1055003E-02  0.9775159E-03 -0.2782341E-01 -0.1024961E+00 -0.2462568E+00 -0.4966145E+00
  -0.8875498E+00

 MESH SELECTION INFO,
 DEGREE OF EQUIDISTRIBUTION =  0.16154 PREDICTION FOR REQUIRED N =      79

 THE NEW MESH (OF   39 SUBINTERVALS), 
    0.000000    0.094837    0.192614    0.262693    0.316498    0.353613    0.376994    0.390153
    0.401841    0.409157    0.416472    0.423787    0.440124    0.454609    0.464733    0.474856
    0.486287    0.497736    0.515248    0.538083    0.565415    0.595811    0.638079    0.675515
    0.704774    0.736280    0.781200    0.814314    0.853130    0.894275    0.928683    0.953235
    0.964316    0.975148    0.979290    0.983432    0.987574    0.991716    0.995858    1.000000


 FIXED JACOBIAN ITERATIONS,
 ITERATION =   0  NORM (RHS) =   0.24E+04
 ITERATION =   1  NORM (RHS) =   0.73E+00
 ITERATION =   1  NORM (RHS) =   0.53E-01
 ITERATION =   1  NORM (RHS) =   0.27E-01
 ITERATION =   2  NORM (RHS) =   0.25E-01
 ITERATION =   2  NORM (RHS) =   0.28E-01

 SWITCH TO DAMPED NEWTON ITERATION,

 FULL DAMPED NEWTON ITERATION,
 ITERATION =   1  RELAXATION FACTOR =   0.10E-01
 NORM OF SCALED RHS CHANGES FROM   0.13E-03 TO  0.77E-03
 NORM   OF   RHS  CHANGES  FROM    0.34E+00 TO  0.34E+00

 NO CONVERGENCE,  RELAXATION FACTOR = 0.163E-03 IS TOO SMALL (LESS THAN 0.100E-02)


 THE NEW MESH (OF   78 SUBINTERVALS), 
    0.000000    0.047418    0.094837    0.143726    0.192614    0.227654    0.262693    0.289595
    0.316498    0.335055    0.353613    0.365303    0.376994    0.383574    0.390153    0.395997
    0.401841    0.405499    0.409157    0.412814    0.416472    0.420129    0.423787    0.431956
    0.440124    0.447367    0.454609    0.459671    0.464733    0.469795    0.474856    0.480572
    0.486287    0.492012    0.497736    0.506492    0.515248    0.526666    0.538083    0.551749
    0.565415    0.580613    0.595811    0.616945    0.638079    0.656797    0.675515    0.690145
    0.704774    0.720527    0.736280    0.758740    0.781200    0.797757    0.814314    0.833722
    0.853130    0.873702    0.894275    0.911479    0.928683    0.940959    0.953235    0.958776
    0.964316    0.969732    0.975148    0.977219    0.979290    0.981361    0.983432    0.985503
    0.987574    0.989645    0.991716    0.993787    0.995858    0.997929    1.000000

 FULL DAMPED NEWTON ITERATION,
 RELAXATION FACTOR CORRECTED TO RELAX =   0.10E-01
 NORM OF SCALED RHS CHANGES FROM   0.11E-02 TO  0.16E-02
 NORM   OF   RHS  CHANGES  FROM    0.23E+02 TO  0.23E+02

 NO CONVERGENCE,  RELAXATION FACTOR = 0.524E-03 IS TOO SMALL (LESS THAN 0.100E-02)


 THE NEW MESH (OF  156 SUBINTERVALS), 
    0.000000    0.023709    0.047418    0.071128    0.094837    0.119281    0.143726    0.168170
    0.192614    0.210134    0.227654    0.245173    0.262693    0.276144    0.289595    0.303047
    0.316498    0.325776    0.335055    0.344334    0.353613    0.359458    0.365303    0.371148
    0.376994    0.380284    0.383574    0.386863    0.390153    0.393075    0.395997    0.398919
    0.401841    0.403670    0.405499    0.407328    0.409157    0.410985    0.412814    0.414643
    0.416472    0.418301    0.420129    0.421958    0.423787    0.427871    0.431956    0.436040
    0.440124    0.443746    0.447367    0.450988    0.454609    0.457140    0.459671    0.462202
    0.464733    0.467264    0.469795    0.472325    0.474856    0.477714    0.480572    0.483429
    0.486287    0.489149    0.492012    0.494874    0.497736    0.502114    0.506492    0.510870
    0.515248    0.520957    0.526666    0.532374    0.538083    0.544916    0.551749    0.558582
    0.565415    0.573014    0.580613    0.588212    0.595811    0.606378    0.616945    0.627512
    0.638079    0.647438    0.656797    0.666156    0.675515    0.682830    0.690145    0.697459
    0.704774    0.712650    0.720527    0.728403    0.736280    0.747510    0.758740    0.769970
    0.781200    0.789478    0.797757    0.806036    0.814314    0.824018    0.833722    0.843426
    0.853130    0.863416    0.873702    0.883989    0.894275    0.902877    0.911479    0.920081
    0.928683    0.934821    0.940959    0.947097    0.953235    0.956005    0.958776    0.961546
    0.964316    0.967024    0.969732    0.972440    0.975148    0.976183    0.977219    0.978254
    0.979290    0.980326    0.981361    0.982396    0.983432    0.984468    0.985503    0.986538
    0.987574    0.988609    0.989645    0.990681    0.991716    0.992752    0.993787    0.994823
    0.995858    0.996894    0.997929    0.998964    1.000000

 FULL DAMPED NEWTON ITERATION,
 RELAXATION FACTOR CORRECTED TO RELAX =   0.10E-01
 NORM OF SCALED RHS CHANGES FROM   0.23E-02 TO  0.17E-01
 NORM   OF   RHS  CHANGES  FROM    0.24E+02 TO  0.23E+02

 NO CONVERGENCE,  RELAXATION FACTOR = 0.138E-03 IS TOO SMALL (LESS THAN 0.100E-02)


  EXPECTED N TOO LARGE 
  (NO CONVERGENCE)
1       X             PHI           DPHI           PSI          DPSI

       0.00        0.00000E+00    0.20414E+01   -0.55876E-08   -0.90398E+00
       0.05        0.10207E+00    0.20414E+01   -0.45265E-01   -0.90793E+00
       0.10        0.20414E+00    0.20414E+01   -0.90926E-01   -0.91982E+00
       0.15        0.30621E+00    0.20414E+01   -0.13738E+00   -0.93962E+00
       0.20        0.40828E+00    0.20413E+01   -0.18502E+00   -0.96735E+00
       0.25        0.51035E+00    0.20418E+01   -0.23425E+00   -0.10030E+01
       0.30        0.61246E+00    0.20437E+01   -0.28545E+00   -0.10467E+01
       0.35        0.71530E+00    0.21054E+01   -0.33905E+00   -0.10991E+01
       0.40        0.83268E+00   -0.21903E+00   -0.39613E+00   -0.12059E+01
       0.45        0.17567E-01   -0.35784E+01   -0.44540E+00   -0.71368E+00
       0.50        0.22456E-01    0.12992E+00   -0.48036E+00   -0.66971E+00
       0.55        0.25916E-01    0.48594E-01   -0.51169E+00   -0.58116E+00
       0.60        0.28153E-01    0.39964E-01   -0.53831E+00   -0.48239E+00
       0.65        0.29945E-01    0.30519E-01   -0.55980E+00   -0.37635E+00
       0.70        0.30929E-01    0.29969E-02   -0.57586E+00   -0.26624E+00
       0.75        0.29999E-01   -0.47015E-01   -0.58642E+00   -0.15702E+00
       0.80        0.25466E-01   -0.14583E+00   -0.59177E+00   -0.60587E-01
       0.85        0.13679E-01   -0.34743E+00   -0.59309E+00   -0.17378E-02
       0.90       -0.12658E-01   -0.75516E+00   -0.59335E+00   -0.29386E-01
       0.95       -0.69730E-01   -0.16544E+01   -0.59917E+00   -0.24976E+00
       1.00        0.14253E-04    0.11957E+03   -0.62559E+00   -0.88787E+00
