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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 = 191 (attempted = 191)
Total RHS evals: Fe = 0, Fi = 1913
Total linear solver setups = 0
Total linear iterations = 18055
Total number of Jacobian-vector products = 18055
Total number of linear solver convergence failures = 0
Total number of Newton iterations = 955
Total number of nonlinear solver convergence failures = 0
Total number of error test failures = 0
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