System of PDEs Initial Failure warning and MethodError

[cmerikson]

Describe the bug 🐞

Attempting to solve a nonlinear system of PDEs. Successful through discretization but error encountered when solving. I was told this is an unusual error.

Expected behavior

Expected a solution to the system.

Minimal Reproducible Example 👇

Without MRE, we would only be able to help you to a limited extent, and attention to the issue would be limited. to know more about MRE refer to wikipedia and stackoverflow.

using ModelingToolkit, DomainSets, DifferentialEquations, MethodOfLines

# Constant
τ_cr = 0.05

@parameters x, t
@variables u(..), η(..)

# Linear Operators
Dx = Differential(x)
Dt = Differential(t)

# Equation (9)
eq1 = u(x,t) * Dx(u(x,t)) ~ -expand_derivatives(Dx(1/u(x,t))) - Dx(η(x,t)) - (log(1.0/((u(x,t)))))^(-2.0)

# Equation (10)
eq2B = -expand_derivatives(Dx(((u(x,t)^2.0)*(log(1.0/(u(x,t))))^(-2.0)) - τ_cr))
τ = u(x,t) / (log(u(x,t)))^2.0
f(x,t) = ((τ >= τ_cr) * eq2B) # Boolean Threshold
eq2 = Dt(η(x,t)) ~ f(x,t)

# Combine into a system
eq = [eq1, eq2]

# Domain
x_start = t_start = 0.0
x_end = 90.0
t_end = 10.0

domains = [x ∈ IntervalDomain(x_start,x_end), t ∈ IntervalDomain(t_start,t_end)]

# Periodic Boundary Conditions
η0(x, t) = 0.0
u0(x, t) = 1.7

bcs = [η(x, 0.0) ~ η0(x, 0.0),
        η(x_start, t) ~ η(x_end, t),
        u(x_start,t) ~ u(x_end,t),
        u(x,0.0) ~ u0(x,0.0)]

@named pdesys = PDESystem(eq, bcs, domains, [x, t], [u(x, t), η(x, t)])

# Finite Difference Method
discretization = MOLFiniteDifference([x => 200], t)
# Define the differential equations problem
prob = discretize(pdesys, discretization);
sol = solve(prob, saveat = 0.1);

Error & Stacktrace ⚠️

┌ Warning: Solution has length 1 in dimension x. Interpolation will not be possible for variable u(x, t). Solution return code is InitialFailure.
└ @ MethodOfLines [C:\Users\cmeri\.julia\packages\MethodOfLines\xyn4D\src\interface\solution\solution_utils.jl:18](file:///C:/Users/cmeri/.julia/packages/MethodOfLines/xyn4D/src/interface/solution/solution_utils.jl#line=17)
┌ Warning: Solution has length 1 in dimension x. Interpolation will not be possible for variable η(x, t). Solution return code is InitialFailure.
└ @ MethodOfLines [C:\Users\cmeri\.julia\packages\MethodOfLines\xyn4D\src\interface\solution\solution_utils.jl:18](file:///C:/Users/cmeri/.julia/packages/MethodOfLines/xyn4D/src/interface/solution/solution_utils.jl#line=17)
MethodError: no method matching SciMLBase.PDETimeSeriesSolution(::SciMLBase.PDETimeSeriesSolution{Float64, 2, Dict{Num, Matrix{Float64}}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Rosenbrock5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEq.Rodas5Tableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, SciMLBase.UJacobianWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}}, BitVector}, SciMLBase.DEStats, Nothing, Nothing, Nothing}, Nothing, Vector{Float64}, Tuple{Vector{Float64}, StepRangeLen{Float64, Base.TwicePrecision{Float64}, Base.TwicePrecision{Float64}, Int64}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Base.Pairs{Symbol, Union{}, Tuple{}, @NamedTuple{}}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, Dict{Num, Nothing}, SciMLBase.DEStats}, ::MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization})

Closest candidates are:
  SciMLBase.PDETimeSeriesSolution(::SciMLBase.AbstractODESolution{T}, ::MethodOfLines.MOLMetadata) where T
   @ MethodOfLines [C:\Users\cmeri\.julia\packages\MethodOfLines\xyn4D\src\interface\solution\timedep.jl:11](file:///C:/Users/cmeri/.julia/packages/MethodOfLines/xyn4D/src/interface/solution/timedep.jl#line=10)


Stacktrace:
 [1] wrap_sol(sol::SciMLBase.PDETimeSeriesSolution{Float64, 2, Dict{Num, Matrix{Float64}}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, @Kwargs{}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Rosenbrock5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEq.Rodas5Tableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, SciMLBase.UJacobianWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}}, BitVector}, SciMLBase.DEStats, Nothing, Nothing, Nothing}, Nothing, Vector{Float64}, Tuple{Vector{Float64}, StepRangeLen{Float64, Base.TwicePrecision{Float64}, Base.TwicePrecision{Float64}, Int64}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, @Kwargs{}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, Dict{Num, Nothing}, SciMLBase.DEStats}, metadata::MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization})
   @ SciMLBase C:\Users\cmeri\.julia\packages\SciMLBase\NjslX\src\solutions\pde_solutions.jl:115
 [2] wrap_sol(sol::SciMLBase.PDETimeSeriesSolution{Float64, 2, Dict{Num, Matrix{Float64}}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, @Kwargs{}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, OrdinaryDiffEq.Rosenbrock5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEq.Rodas5Tableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Vector{Float64}, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, SciMLBase.UJacobianWrapper{true, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, Float64, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, FiniteDiff.JacobianCache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, UnitRange{Int64}, Nothing, Val{:forward}(), Float64}, FiniteDiff.GradientCache{Nothing, Vector{Float64}, Vector{Float64}, Float64, Val{:forward}(), Float64, Val{true}()}, Float64, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}}, BitVector}, SciMLBase.DEStats, Nothing, Nothing, Nothing}, Nothing, Vector{Float64}, Tuple{Vector{Float64}, StepRangeLen{Float64, Base.TwicePrecision{Float64}, Base.TwicePrecision{Float64}, Int64}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, Vector{SymbolicUtils.BasicSymbolic{Real}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, @Kwargs{}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}, Rodas5P{1, false, Nothing, typeof(OrdinaryDiffEq.DEFAULT_PRECS), Val{:forward}, true, nothing}, Dict{Num, Nothing}, SciMLBase.DEStats})
   @ SciMLBase [C:\Users\cmeri\.julia\packages\SciMLBase\NjslX\src\solutions\basic_solutions.jl:95](file:///C:/Users/cmeri/.julia/packages/SciMLBase/NjslX/src/solutions/basic_solutions.jl#line=94)
 [3] solve(::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, ModelingToolkit.MTKParameters{Tuple{}, Tuple{}, Tuple{}, Tuple{}, Tuple{}, Nothing, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#f#697"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc65a9ee8, 0xcb2142a1, 0xc1fc903a, 0xab031822, 0x6bc43c60), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x86045525, 0xf09d1ed7, 0x001fd7c8, 0x357fbd97, 0xc3dd05a3), Nothing}}, Matrix{Float64}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, ModelingToolkit.var"#852#generated_observed#706"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem, Nothing, Nothing}, @Kwargs{}, MethodOfLines.MOLMetadata{Val{true}(), MethodOfLines.DiscreteSpace{1, 2, MethodOfLines.CenterAlignedGrid}, MOLFiniteDifference{MethodOfLines.CenterAlignedGrid, MethodOfLines.ScalarizedDiscretization}, PDESystem, Base.RefValue{Any}, Nothing, MethodOfLines.ScalarizedDiscretization}}; sensealg::Nothing, u0::Nothing, p::Nothing, wrap::Val{true}, kwargs::@Kwargs{saveat::Float64})
   @ DiffEqBase [C:\Users\cmeri\.julia\packages\DiffEqBase\8vI1R\src\solve.jl:1003](file:///C:/Users/cmeri/.julia/packages/DiffEqBase/8vI1R/src/solve.jl#line=1002)
 [4] top-level scope
   @ In[4]:1

Environment (please complete the following information):

• Output of using Pkg; Pkg.status()

Status `C:\Users\cmeri\.julia\environments\v1.10\Project.toml`
  [052768ef] CUDA v5.2.0
  [b0b7db55] ComponentArrays v0.15.11
  [0c46a032] DifferentialEquations v7.13.0
⌅ [5b8099bc] DomainSets v0.6.7
  [7073ff75] IJulia v1.24.2
  [94925ecb] MethodOfLines v0.11.0
  [961ee093] ModelingToolkit v9.9.0
  [77ba4419] NaNMath v1.0.2
  [315f7962] NeuralPDE v5.15.0
  [7f7a1694] Optimization v3.24.3
  [42dfb2eb] OptimizationOptimisers v0.2.1
  [91a5bcdd] Plots v1.40.2
  [ed894a53] WaterLily v1.0.4
  [de0858da] Printf
  [9a3f8284] Random
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

• Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)

Status `C:\Users\cmeri\.julia\environments\v1.10\Manifest.toml`
  [47edcb42] ADTypes v0.2.7
  [621f4979] AbstractFFTs v1.5.0
  [80f14c24] AbstractMCMC v5.2.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.36
  [79e6a3ab] Adapt v4.0.4
  [0bf59076] AdvancedHMC v0.6.1
  [dce04be8] ArgCheck v2.3.0
⌅ [ec485272] ArnoldiMethod v0.2.0
  [4fba245c] ArrayInterface v7.9.0
  [4c555306] ArrayLayouts v1.8.0
  [a9b6321e] Atomix v0.1.0
⌃ [13072b0f] AxisAlgorithms v1.0.1
  [39de3d68] AxisArrays v0.4.7
⌃ [ab4f0b2a] BFloat16s v0.4.2
  [aae01518] BandedMatrices v1.6.1
  [198e06fe] BangBang v0.4.1
  [9718e550] Baselet v0.1.1
  [e2ed5e7c] Bijections v0.1.6
  [d1d4a3ce] BitFlags v0.1.8
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [764a87c0] BoundaryValueDiffEq v5.7.1
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.4
  [00ebfdb7] CSTParser v3.4.2
  [052768ef] CUDA v5.2.0
  [1af6417a] CUDA_Runtime_Discovery v0.2.3
  [49dc2e85] Calculus v0.5.1
  [082447d4] ChainRules v1.63.0
  [d360d2e6] ChainRulesCore v1.23.0
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [944b1d66] CodecZlib v0.7.4
  [35d6a980] ColorSchemes v3.24.0
  [3da002f7] ColorTypes v0.11.4
  [c3611d14] ColorVectorSpace v0.10.0
  [5ae59095] Colors v0.12.10
  [861a8166] Combinatorics v1.0.2
  [a80b9123] CommonMark v0.8.12
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.14.0
  [b0b7db55] ComponentArrays v0.15.11
  [b152e2b5] CompositeTypes v0.1.3
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [f0e56b4a] ConcurrentUtilities v2.4.1
  [8f4d0f93] Conda v1.10.0
  [88cd18e8] ConsoleProgressMonitor v0.1.2
  [187b0558] ConstructionBase v1.5.5
  [d38c429a] Contour v0.6.2
  [adafc99b] CpuId v0.3.1
  [a8cc5b0e] Crayons v4.1.1
  [667455a9] Cubature v1.5.1
  [9a962f9c] DataAPI v1.16.0
  [a93c6f00] DataFrames v1.6.1
  [864edb3b] DataStructures v0.18.18
  [e2d170a0] DataValueInterfaces v1.0.0
  [244e2a9f] DefineSingletons v0.1.2
  [bcd4f6db] DelayDiffEq v5.47.1
  [8bb1440f] DelimitedFiles v1.9.1
  [2b5f629d] DiffEqBase v6.148.0
  [459566f4] DiffEqCallbacks v3.4.1
  [77a26b50] DiffEqNoiseProcess v5.21.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.13.0
  [b4f34e82] Distances v0.10.11
  [31c24e10] Distributions v0.25.107
  [ffbed154] DocStringExtensions v0.9.3
⌅ [5b8099bc] DomainSets v0.6.7
  [fa6b7ba4] DualNumbers v0.6.8
  [7c1d4256] DynamicPolynomials v0.5.5
  [06fc5a27] DynamicQuantities v0.13.1
  [da5c29d0] EllipsisNotation v1.8.0
  [4e289a0a] EnumX v1.0.4
⌃ [f151be2c] EnzymeCore v0.6.5
  [460bff9d] ExceptionUnwrapping v0.1.10
  [d4d017d3] ExponentialUtilities v1.26.1
  [e2ba6199] ExprTools v0.1.10
  [c87230d0] FFMPEG v0.4.1
  [7a1cc6ca] FFTW v1.8.0
  [9d29842c] FastAlmostBandedMatrices v0.1.1
  [7034ab61] FastBroadcast v0.2.8
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.2
  [1a297f60] FillArrays v1.9.3
  [64ca27bc] FindFirstFunctions v1.2.0
  [6a86dc24] FiniteDiff v2.23.0
  [53c48c17] FixedPointNumbers v0.8.4
  [1fa38f19] Format v1.3.7
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [d9f16b24] Functors v0.4.8
  [0c68f7d7] GPUArrays v10.0.2
  [46192b85] GPUArraysCore v0.1.6
⌅ [61eb1bfa] GPUCompiler v0.25.0
  [28b8d3ca] GR v0.73.3
  [c145ed77] GenericSchur v0.5.4
  [c27321d9] Glob v1.3.1
  [86223c79] Graphs v1.9.0
  [42e2da0e] Grisu v1.0.2
  [19dc6840] HCubature v1.6.0
  [cd3eb016] HTTP v1.10.5
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [34004b35] HypergeometricFunctions v0.3.23
  [7073ff75] IJulia v1.24.2
  [7869d1d1] IRTools v0.4.12
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.4
  [22cec73e] InitialValues v0.3.1
  [842dd82b] InlineStrings v1.4.0
  [505f98c9] InplaceOps v0.3.0
  [18e54dd8] IntegerMathUtils v0.1.2
  [de52edbc] Integrals v4.4.1
⌅ [a98d9a8b] Interpolations v0.14.0
  [8197267c] IntervalSets v0.7.10
  [3587e190] InverseFunctions v0.1.13
  [41ab1584] InvertedIndices v1.3.0
  [92d709cd] IrrationalConstants v0.2.2
  [c8e1da08] IterTools v1.10.0
  [82899510] IteratorInterfaceExtensions v1.0.0
  [1019f520] JLFzf v0.1.7
  [692b3bcd] JLLWrappers v1.5.0
  [682c06a0] JSON v0.21.4
  [98e50ef6] JuliaFormatter v1.0.54
  [ccbc3e58] JumpProcesses v9.11.1
  [ef3ab10e] KLU v0.6.0
  [63c18a36] KernelAbstractions v0.9.18
  [5ab0869b] KernelDensity v0.6.8
  [ba0b0d4f] Krylov v0.9.5
  [929cbde3] LLVM v6.6.2
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  [73f95e8e] LatticeRules v0.0.1
  [10f19ff3] LayoutPointers v0.1.15
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  [bdcacae8] LoopVectorization v0.12.166
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  [34f89e08] LuxDeviceUtils v0.1.19
  [82251201] LuxLib v0.3.10
  [c7f686f2] MCMCChains v6.0.6
  [be115224] MCMCDiagnosticTools v0.3.10
  [e80e1ace] MLJModelInterface v1.9.6
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  [e1d29d7a] Missings v1.1.0
  [961ee093] ModelingToolkit v9.9.0
  [4886b29c] MonteCarloIntegration v0.2.0
  [0987c9cc] MonteCarloMeasurements v1.1.6
  [46d2c3a1] MuladdMacro v0.2.4
  [102ac46a] MultivariatePolynomials v0.5.4
  [d8a4904e] MutableArithmetics v1.4.2
  [d41bc354] NLSolversBase v7.8.3
  [2774e3e8] NLsolve v4.5.1
  [872c559c] NNlib v0.9.13
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  [1dea7af3] OrdinaryDiffEq v6.74.1
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  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
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  [27ebfcd6] Primes v0.5.6
  [33c8b6b6] ProgressLogging v0.1.4
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  [1fd47b50] QuadGK v2.9.4
  [8a4e6c94] QuasiMonteCarlo v0.3.3
  [74087812] Random123 v1.7.0
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  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
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  [d1185830] SymbolicUtils v1.5.1
  [0c5d862f] Symbolics v5.27.1
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [62fd8b95] TensorCore v0.1.1
⌅ [8ea1fca8] TermInterface v0.3.3
  [5d786b92] TerminalLoggers v0.1.7
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.23
  [0796e94c] Tokenize v0.5.28
  [3bb67fe8] TranscodingStreams v0.10.7
  [28d57a85] Transducers v0.4.81
  [d5829a12] TriangularSolve v0.1.21
  [410a4b4d] Tricks v0.1.8
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.19.0
  [45397f5d] UnitfulLatexify v1.6.3
  [a7c27f48] Unityper v0.1.6
  [013be700] UnsafeAtomics v0.2.1
  [d80eeb9a] UnsafeAtomicsLLVM v0.1.3
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.65
  [81def892] VersionParsing v1.3.0
  [19fa3120] VertexSafeGraphs v0.2.0
  [ed894a53] WaterLily v1.0.4
  [d49dbf32] WeightInitializers v0.1.7
⌅ [efce3f68] WoodburyMatrices v0.5.6
  [c2297ded] ZMQ v1.2.2
  [e88e6eb3] Zygote v0.6.69
  [700de1a5] ZygoteRules v0.2.5
  [6e34b625] Bzip2_jll v1.0.8+1
⌅ [4ee394cb] CUDA_Driver_jll v0.7.0+1
⌅ [76a88914] CUDA_Runtime_jll v0.11.1+0
  [83423d85] Cairo_jll v1.18.0+1
  [7bc98958] Cubature_jll v1.0.5+0
  [2702e6a9] EpollShim_jll v0.0.20230411+0
  [2e619515] Expat_jll v2.5.0+0
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.10+0
  [a3f928ae] Fontconfig_jll v2.13.93+0
  [d7e528f0] FreeType2_jll v2.13.1+0
  [559328eb] FriBidi_jll v1.0.10+0
  [0656b61e] GLFW_jll v3.3.9+0
  [d2c73de3] GR_jll v0.73.3+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.80.0+0
  [3b182d85] Graphite2_jll v1.3.14+0
  [2e76f6c2] HarfBuzz_jll v2.8.1+1
  [1d5cc7b8] IntelOpenMP_jll v2024.0.2+0
  [aacddb02] JpegTurbo_jll v3.0.2+0
  [9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.1+0
  [88015f11] LERC_jll v3.0.0+1
  [dad2f222] LLVMExtra_jll v0.0.29+0
  [1d63c593] LLVMOpenMP_jll v15.0.7+0
  [dd4b983a] LZO_jll v2.10.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+1
  [d4300ac3] Libgcrypt_jll v1.8.7+0
  [7e76a0d4] Libglvnd_jll v1.6.0+0
  [7add5ba3] Libgpg_error_jll v1.42.0+0
  [94ce4f54] Libiconv_jll v1.17.0+0
  [4b2f31a3] Libmount_jll v2.39.3+0
⌅ [89763e89] Libtiff_jll v4.5.1+1
  [38a345b3] Libuuid_jll v2.39.3+1
  [856f044c] MKL_jll v2024.0.0+0
  [e98f9f5b] NVTX_jll v3.1.0+2
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.13+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [91d4177d] Opus_jll v1.3.2+0
  [30392449] Pixman_jll v0.42.2+0
  [c0090381] Qt6Base_jll v6.5.3+1
  [f50d1b31] Rmath_jll v0.4.0+0
⌅ [fb77eaff] Sundials_jll v5.2.2+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+1
  [2381bf8a] Wayland_protocols_jll v1.31.0+0
  [02c8fc9c] XML2_jll v2.12.6+0
  [aed1982a] XSLT_jll v1.1.34+0
  [ffd25f8a] XZ_jll v5.4.6+0
  [f67eecfb] Xorg_libICE_jll v1.0.10+1
  [c834827a] Xorg_libSM_jll v1.2.3+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.11+0
  [935fb764] Xorg_libXcursor_jll v1.2.0+4
  [a3789734] Xorg_libXdmcp_jll v1.1.4+0
  [1082639a] Xorg_libXext_jll v1.3.4+4
  [d091e8ba] Xorg_libXfixes_jll v5.0.3+4
  [a51aa0fd] Xorg_libXi_jll v1.7.10+4
  [d1454406] Xorg_libXinerama_jll v1.1.4+4
  [ec84b674] Xorg_libXrandr_jll v1.5.2+4
  [ea2f1a96] Xorg_libXrender_jll v0.9.10+4
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0
  [c7cfdc94] Xorg_libxcb_jll v1.15.0+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.0+0
  [8f1865be] ZeroMQ_jll v4.3.5+0
  [3161d3a3] Zstd_jll v1.5.6+0
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.43.0+0
  [1a1c6b14] gperf_jll v3.1.1+0
  [a4ae2306] libaom_jll v3.4.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.43+1
  [a9144af2] libsodium_jll v1.0.20+0
  [f27f6e37] libvorbis_jll v1.3.7+1
  [009596ad] mtdev_jll v1.1.6+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.0+0
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

• Output of versioninfo()

Julia Version 1.10.2
Commit bd47eca2c8 (2024-03-01 10:14 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 12 × AMD Ryzen 5 Microsoft Surface (R) Edition
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, znver2)
Threads: 1 default, 0 interactive, 1 GC (on 12 virtual cores)

Additional context
I simplified the equations in the MRE, so they are probably no longer physically representative of anything. I am using JupyterLab.

[ChrisRackauckas]

Thanks, this does look like a parsing bug.