--- /dev/null
+
+DEAL::# Default Parameters
+subsection Error control
+ set absolute error tolerance = -1
+ set adaptor type = none
+ set ignore algebraic lte = true
+ set maximum step size = -1
+ set minimum step size = -1
+ set relative error tolerance = -1
+end
+subsection Running parameters
+ set final time = 0
+ set initial step size = 0
+ set initial time = 0
+ set match final time = false
+ set maximum number of steps = -1
+ set options prefix =
+ set solver type =
+end
+DEAL::# Testing Parameters
+subsection Error control
+ set absolute error tolerance = 0.0001
+ set adaptor type = none
+ set ignore algebraic lte = true
+ set maximum step size = 1e+7
+ set minimum step size = 1e-7
+ set relative error tolerance = -1
+end
+subsection Running parameters
+ set final time = 2.0
+ set initial step size = 0.2
+ set initial time = 0
+ set match final time = false
+ set maximum number of steps = -1
+ set options prefix =
+ set solver type = bdf
+end
+DEAL::# Test explicit interface (J 0)
+DEAL::Intermediate output:
+DEAL:: t =0.00000
+DEAL:: y =1.00000 (exact: 1.00000)
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Distribute at time 0.100000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Distribute at time 0.200000
+DEAL::Prepare at time 0.200000 and step 1
+DEAL::Intermediate output:
+DEAL:: t =0.200000
+DEAL:: y =0.823864 (exact: 0.818731)
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Distribute at time 0.400000
+DEAL::Prepare at time 0.400000 and step 2
+DEAL::Intermediate output:
+DEAL:: t =0.400000
+DEAL:: y =0.675134 (exact: 0.670320)
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Distribute at time 0.600000
+DEAL::Prepare at time 0.600000 and step 3
+DEAL::Intermediate output:
+DEAL:: t =0.600000
+DEAL:: y =0.551962 (exact: 0.548812)
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Distribute at time 0.800000
+DEAL::Prepare at time 0.800000 and step 4
+DEAL::Intermediate output:
+DEAL:: t =0.800000
+DEAL:: y =0.450798 (exact: 0.449329)
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Distribute at time 1.00000
+DEAL::Prepare at time 1.00000 and step 5
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =1.00000
+DEAL:: y =0.368009 (exact: 0.367879)
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Distribute at time 1.10000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Distribute at time 1.20000
+DEAL::Prepare at time 1.20000 and step 6
+DEAL::Intermediate output:
+DEAL:: t =1.20000
+DEAL:: y =0.303189 (exact: 0.301194)
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Distribute at time 1.40000
+DEAL::Prepare at time 1.40000 and step 7
+DEAL::Intermediate output:
+DEAL:: t =1.40000
+DEAL:: y =0.248455 (exact: 0.246597)
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Distribute at time 1.60000
+DEAL::Prepare at time 1.60000 and step 8
+DEAL::Intermediate output:
+DEAL:: t =1.60000
+DEAL:: y =0.203127 (exact: 0.201897)
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Distribute at time 1.80000
+DEAL::Prepare at time 1.80000 and step 9
+DEAL::Intermediate output:
+DEAL:: t =1.80000
+DEAL:: y =0.165898 (exact: 0.165299)
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Distribute at time 2.00000
+DEAL::Prepare at time 2.00000 and step 10
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =2.00000
+DEAL:: y =0.135431 (exact: 0.135335)
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Distribute at time 2.10000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Distribute at time 2.20000
+DEAL::Prepare at time 2.20000 and step 11
+DEAL::Intermediate output:
+DEAL:: t =2.20000
+DEAL:: y =0.111577 (exact: 0.110803)
+DEAL::# Number of steps taken: 11
+DEAL::# Test implicit interface (J 0)
+DEAL::Intermediate output:
+DEAL:: t =0.00000
+DEAL:: y =1.00000 (exact: 1.00000)
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Distribute at time 0.100000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Distribute at time 0.200000
+DEAL::Prepare at time 0.200000 and step 1
+DEAL::Intermediate output:
+DEAL:: t =0.200000
+DEAL:: y =0.823864 (exact: 0.818731)
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Distribute at time 0.400000
+DEAL::Prepare at time 0.400000 and step 2
+DEAL::Intermediate output:
+DEAL:: t =0.400000
+DEAL:: y =0.675134 (exact: 0.670320)
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Distribute at time 0.600000
+DEAL::Prepare at time 0.600000 and step 3
+DEAL::Intermediate output:
+DEAL:: t =0.600000
+DEAL:: y =0.551962 (exact: 0.548812)
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Distribute at time 0.800000
+DEAL::Prepare at time 0.800000 and step 4
+DEAL::Intermediate output:
+DEAL:: t =0.800000
+DEAL:: y =0.450798 (exact: 0.449329)
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Distribute at time 1.00000
+DEAL::Prepare at time 1.00000 and step 5
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =1.00000
+DEAL:: y =0.368009 (exact: 0.367879)
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Distribute at time 1.10000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Distribute at time 1.20000
+DEAL::Prepare at time 1.20000 and step 6
+DEAL::Intermediate output:
+DEAL:: t =1.20000
+DEAL:: y =0.303189 (exact: 0.301194)
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Distribute at time 1.40000
+DEAL::Prepare at time 1.40000 and step 7
+DEAL::Intermediate output:
+DEAL:: t =1.40000
+DEAL:: y =0.248455 (exact: 0.246597)
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Distribute at time 1.60000
+DEAL::Prepare at time 1.60000 and step 8
+DEAL::Intermediate output:
+DEAL:: t =1.60000
+DEAL:: y =0.203127 (exact: 0.201897)
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Distribute at time 1.80000
+DEAL::Prepare at time 1.80000 and step 9
+DEAL::Intermediate output:
+DEAL:: t =1.80000
+DEAL:: y =0.165898 (exact: 0.165299)
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Distribute at time 2.00000
+DEAL::Prepare at time 2.00000 and step 10
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =2.00000
+DEAL:: y =0.135431 (exact: 0.135335)
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Distribute at time 2.10000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Distribute at time 2.20000
+DEAL::Prepare at time 2.20000 and step 11
+DEAL::Intermediate output:
+DEAL:: t =2.20000
+DEAL:: y =0.111577 (exact: 0.110803)
+DEAL::# Number of steps taken: 11
+DEAL::# Test explicit interface (J 1)
+DEAL::Intermediate output:
+DEAL:: t =0.00000
+DEAL:: y =1.00000 (exact: 1.00000)
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Evaluating explicit Jacobian at t=0.100000
+DEAL::Evaluating explicit function at t=0.100000
+DEAL::Distribute at time 0.100000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Evaluating explicit Jacobian at t=0.200000
+DEAL::Evaluating explicit function at t=0.200000
+DEAL::Distribute at time 0.200000
+DEAL::Prepare at time 0.200000 and step 1
+DEAL::Intermediate output:
+DEAL:: t =0.200000
+DEAL:: y =0.823864 (exact: 0.818731)
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Evaluating explicit Jacobian at t=0.400000
+DEAL::Evaluating explicit function at t=0.400000
+DEAL::Distribute at time 0.400000
+DEAL::Prepare at time 0.400000 and step 2
+DEAL::Intermediate output:
+DEAL:: t =0.400000
+DEAL:: y =0.675134 (exact: 0.670320)
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Evaluating explicit Jacobian at t=0.600000
+DEAL::Evaluating explicit function at t=0.600000
+DEAL::Distribute at time 0.600000
+DEAL::Prepare at time 0.600000 and step 3
+DEAL::Intermediate output:
+DEAL:: t =0.600000
+DEAL:: y =0.551962 (exact: 0.548812)
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Evaluating explicit Jacobian at t=0.800000
+DEAL::Evaluating explicit function at t=0.800000
+DEAL::Distribute at time 0.800000
+DEAL::Prepare at time 0.800000 and step 4
+DEAL::Intermediate output:
+DEAL:: t =0.800000
+DEAL:: y =0.450798 (exact: 0.449329)
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Evaluating explicit Jacobian at t=1.00000
+DEAL::Evaluating explicit function at t=1.00000
+DEAL::Distribute at time 1.00000
+DEAL::Prepare at time 1.00000 and step 5
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =1.00000
+DEAL:: y =0.368009 (exact: 0.367879)
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Evaluating explicit Jacobian at t=1.10000
+DEAL::Evaluating explicit function at t=1.10000
+DEAL::Distribute at time 1.10000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Evaluating explicit Jacobian at t=1.20000
+DEAL::Evaluating explicit function at t=1.20000
+DEAL::Distribute at time 1.20000
+DEAL::Prepare at time 1.20000 and step 6
+DEAL::Intermediate output:
+DEAL:: t =1.20000
+DEAL:: y =0.303189 (exact: 0.301194)
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Evaluating explicit Jacobian at t=1.40000
+DEAL::Evaluating explicit function at t=1.40000
+DEAL::Distribute at time 1.40000
+DEAL::Prepare at time 1.40000 and step 7
+DEAL::Intermediate output:
+DEAL:: t =1.40000
+DEAL:: y =0.248455 (exact: 0.246597)
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Evaluating explicit Jacobian at t=1.60000
+DEAL::Evaluating explicit function at t=1.60000
+DEAL::Distribute at time 1.60000
+DEAL::Prepare at time 1.60000 and step 8
+DEAL::Intermediate output:
+DEAL:: t =1.60000
+DEAL:: y =0.203127 (exact: 0.201897)
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Evaluating explicit Jacobian at t=1.80000
+DEAL::Evaluating explicit function at t=1.80000
+DEAL::Distribute at time 1.80000
+DEAL::Prepare at time 1.80000 and step 9
+DEAL::Intermediate output:
+DEAL:: t =1.80000
+DEAL:: y =0.165898 (exact: 0.165299)
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Evaluating explicit Jacobian at t=2.00000
+DEAL::Evaluating explicit function at t=2.00000
+DEAL::Distribute at time 2.00000
+DEAL::Prepare at time 2.00000 and step 10
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =2.00000
+DEAL:: y =0.135431 (exact: 0.135335)
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Evaluating explicit Jacobian at t=2.10000
+DEAL::Evaluating explicit function at t=2.10000
+DEAL::Distribute at time 2.10000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Evaluating explicit Jacobian at t=2.20000
+DEAL::Evaluating explicit function at t=2.20000
+DEAL::Distribute at time 2.20000
+DEAL::Prepare at time 2.20000 and step 11
+DEAL::Intermediate output:
+DEAL:: t =2.20000
+DEAL:: y =0.111577 (exact: 0.110803)
+DEAL::# Number of steps taken: 11
+DEAL::# Test implicit interface (J 1)
+DEAL::Intermediate output:
+DEAL:: t =0.00000
+DEAL:: y =1.00000 (exact: 1.00000)
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Evaluating implicit Jacobian at t=0.100000
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Distribute at time 0.100000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Evaluating implicit Jacobian at t=0.200000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Distribute at time 0.200000
+DEAL::Prepare at time 0.200000 and step 1
+DEAL::Intermediate output:
+DEAL:: t =0.200000
+DEAL:: y =0.823864 (exact: 0.818731)
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Evaluating implicit Jacobian at t=0.400000
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Distribute at time 0.400000
+DEAL::Prepare at time 0.400000 and step 2
+DEAL::Intermediate output:
+DEAL:: t =0.400000
+DEAL:: y =0.675134 (exact: 0.670320)
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Evaluating implicit Jacobian at t=0.600000
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Distribute at time 0.600000
+DEAL::Prepare at time 0.600000 and step 3
+DEAL::Intermediate output:
+DEAL:: t =0.600000
+DEAL:: y =0.551962 (exact: 0.548812)
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Evaluating implicit Jacobian at t=0.800000
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Distribute at time 0.800000
+DEAL::Prepare at time 0.800000 and step 4
+DEAL::Intermediate output:
+DEAL:: t =0.800000
+DEAL:: y =0.450798 (exact: 0.449329)
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Evaluating implicit Jacobian at t=1.00000
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Distribute at time 1.00000
+DEAL::Prepare at time 1.00000 and step 5
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =1.00000
+DEAL:: y =0.368009 (exact: 0.367879)
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Evaluating implicit Jacobian at t=1.10000
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Distribute at time 1.10000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Evaluating implicit Jacobian at t=1.20000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Distribute at time 1.20000
+DEAL::Prepare at time 1.20000 and step 6
+DEAL::Intermediate output:
+DEAL:: t =1.20000
+DEAL:: y =0.303189 (exact: 0.301194)
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Evaluating implicit Jacobian at t=1.40000
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Distribute at time 1.40000
+DEAL::Prepare at time 1.40000 and step 7
+DEAL::Intermediate output:
+DEAL:: t =1.40000
+DEAL:: y =0.248455 (exact: 0.246597)
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Evaluating implicit Jacobian at t=1.60000
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Distribute at time 1.60000
+DEAL::Prepare at time 1.60000 and step 8
+DEAL::Intermediate output:
+DEAL:: t =1.60000
+DEAL:: y =0.203127 (exact: 0.201897)
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Evaluating implicit Jacobian at t=1.80000
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Distribute at time 1.80000
+DEAL::Prepare at time 1.80000 and step 9
+DEAL::Intermediate output:
+DEAL:: t =1.80000
+DEAL:: y =0.165898 (exact: 0.165299)
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Evaluating implicit Jacobian at t=2.00000
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Distribute at time 2.00000
+DEAL::Prepare at time 2.00000 and step 10
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =2.00000
+DEAL:: y =0.135431 (exact: 0.135335)
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Evaluating implicit Jacobian at t=2.10000
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Distribute at time 2.10000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Evaluating implicit Jacobian at t=2.20000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Distribute at time 2.20000
+DEAL::Prepare at time 2.20000 and step 11
+DEAL::Intermediate output:
+DEAL:: t =2.20000
+DEAL:: y =0.111577 (exact: 0.110803)
+DEAL::# Number of steps taken: 11
+DEAL::# Test user interface
+DEAL::Intermediate output:
+DEAL:: t =0.00000
+DEAL:: y =1.00000 (exact: 1.00000)
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Setting up Jacobian at t=0.100000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Evaluating implicit function at t=0.100000
+DEAL::Distribute at time 0.100000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Setting up Jacobian at t=0.200000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Evaluating implicit function at t=0.200000
+DEAL::Distribute at time 0.200000
+DEAL::Prepare at time 0.200000 and step 1
+DEAL::Intermediate output:
+DEAL:: t =0.200000
+DEAL:: y =0.823864 (exact: 0.818731)
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Setting up Jacobian at t=0.400000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Evaluating implicit function at t=0.400000
+DEAL::Distribute at time 0.400000
+DEAL::Prepare at time 0.400000 and step 2
+DEAL::Intermediate output:
+DEAL:: t =0.400000
+DEAL:: y =0.675134 (exact: 0.670320)
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Setting up Jacobian at t=0.600000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Evaluating implicit function at t=0.600000
+DEAL::Distribute at time 0.600000
+DEAL::Prepare at time 0.600000 and step 3
+DEAL::Intermediate output:
+DEAL:: t =0.600000
+DEAL:: y =0.551962 (exact: 0.548812)
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Setting up Jacobian at t=0.800000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Evaluating implicit function at t=0.800000
+DEAL::Distribute at time 0.800000
+DEAL::Prepare at time 0.800000 and step 4
+DEAL::Intermediate output:
+DEAL:: t =0.800000
+DEAL:: y =0.450798 (exact: 0.449329)
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Setting up Jacobian at t=1.00000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Evaluating implicit function at t=1.00000
+DEAL::Distribute at time 1.00000
+DEAL::Prepare at time 1.00000 and step 5
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =1.00000
+DEAL:: y =0.368009 (exact: 0.367879)
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Setting up Jacobian at t=1.10000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Evaluating implicit function at t=1.10000
+DEAL::Distribute at time 1.10000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Setting up Jacobian at t=1.20000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Evaluating implicit function at t=1.20000
+DEAL::Distribute at time 1.20000
+DEAL::Prepare at time 1.20000 and step 6
+DEAL::Intermediate output:
+DEAL:: t =1.20000
+DEAL:: y =0.303189 (exact: 0.301194)
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Setting up Jacobian at t=1.40000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Evaluating implicit function at t=1.40000
+DEAL::Distribute at time 1.40000
+DEAL::Prepare at time 1.40000 and step 7
+DEAL::Intermediate output:
+DEAL:: t =1.40000
+DEAL:: y =0.248455 (exact: 0.246597)
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Setting up Jacobian at t=1.60000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Evaluating implicit function at t=1.60000
+DEAL::Distribute at time 1.60000
+DEAL::Prepare at time 1.60000 and step 8
+DEAL::Intermediate output:
+DEAL:: t =1.60000
+DEAL:: y =0.203127 (exact: 0.201897)
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Setting up Jacobian at t=1.80000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Evaluating implicit function at t=1.80000
+DEAL::Distribute at time 1.80000
+DEAL::Prepare at time 1.80000 and step 9
+DEAL::Intermediate output:
+DEAL:: t =1.80000
+DEAL:: y =0.165898 (exact: 0.165299)
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Setting up Jacobian at t=2.00000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Evaluating implicit function at t=2.00000
+DEAL::Distribute at time 2.00000
+DEAL::Prepare at time 2.00000 and step 10
+DEAL::Interpolate
+DEAL::Intermediate output:
+DEAL:: t =2.00000
+DEAL:: y =0.135431 (exact: 0.135335)
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Setting up Jacobian at t=2.10000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Evaluating implicit function at t=2.10000
+DEAL::Distribute at time 2.10000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Setting up Jacobian at t=2.20000
+DEAL::Solving with Jacobian
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Evaluating implicit function at t=2.20000
+DEAL::Distribute at time 2.20000
+DEAL::Prepare at time 2.20000 and step 11
+DEAL::Intermediate output:
+DEAL:: t =2.20000
+DEAL:: y =0.111577 (exact: 0.110803)
+DEAL::# Number of steps taken: 11