
1D Heat PDE test problem:
  N = 201
  diffusion coefficient:  k = 0.5
        t      ||u||_rms
   -------------------------
    0.000000    0.000000
    0.100000    0.001165
    0.200000    0.001826
    0.300000    0.002235
    0.400000    0.002486
    0.500000    0.002639
    0.600000    0.002733
    0.700000    0.002790
    0.800000    0.002825
    0.900000    0.002846
    1.000000    0.002859
   -------------------------

Final Solver Statistics:
   Internal solver steps = 190 (attempted = 190)
   Total RHS evals:  Fe = 0,  Fi = 1903
   Total linear solver setups = 0
   Total linear iterations = 17826
   Total number of Jacobian-vector products = 17826
   Total number of linear solver convergence failures = 0
   Total number of Newton iterations = 950
   Total number of nonlinear solver convergence failures = 0
   Total number of error test failures = 0
