Stabilized RK methods do not work with Unitful #2858
Description
Describe the bug 🐞
I discovered that the family of stabilized RK methods do not work when the time is given by a Unitful quantity.
Expected behavior
ODE problem is solved successfully as it does when using certain solvers such as RK4() and Tsit5().
Minimal Reproducible Example 👇
using Unitful
using DifferentialEquations
f(u, p, t) = u ./ u"s"
f!(du,u, p, t) = (du .= u ./ u"s")
u0 = [0.0]
t_span = (0.0u"s", 1.0u"s")
problem_const = ODEProblem(f, u0, t_span)
problem_mut = ODEProblem(f!, u0, t_span)
solve(problem_const, ESERK5())
solve(problem_mut, ESERK5())Error & Stacktrace
For solve(problem_const, ESERK5()):
ERROR: DimensionError: 1.0 and 1.4901161193847656e-8 s^-1 are not dimensionally compatible.
Stacktrace:
[1] +(x::Quantity{Float64, NoDims, Unitful.FreeUnits{…}}, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{…}} )
@ Unitful .julia\packages\Unitful\sxiHA\src\quantities.jl:137
[2] +(x::Float64, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing}} )
@ Base .\promotion.jl:429
[3] _broadcast_getindex_evalf
@ .\broadcast.jl:678 [inlined]
[4] _broadcast_getindex
@ .\broadcast.jl:651 [inlined]
[5] getindex
@ .\broadcast.jl:610 [inlined]
[6] copy
@ .\broadcast.jl:911 [inlined]
[7] materialize
@ .\broadcast.jl:872 [inlined]
[8] broadcast_preserving_zero_d
@ .\broadcast.jl:861 [inlined]
[9] +
@ .\arraymath.jl:16 [inlined]
[10] maxeig!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…})
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_utils.jl:34
[11] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…}, repeat_step::Bool)
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:774
[12] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…})
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:771
[13] solve!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ OrdinaryDiffEqCore .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:610
[14] #__solve#62
@ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:7 [inlined]
[15] __solve
@ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:1 [inlined]
[16] #solve_call#36
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:657 [inlined]
[17] solve_call
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:614 [inlined]
[18] #solve_up#45
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1211 [inlined]
[19] solve_up
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1188 [inlined]
[20] #solve#43
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1083 [inlined]
[21] solve(prob::ODEProblem{…}, args::ESERK5{…})
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1073
[22] top-level scope
@ repex.jl:9For solve(problem_mut, ESERK5()):
ERROR: DimensionError: and s^-1 are not dimensionally compatible.
Stacktrace:
[1] #s104#131
@ .julia\packages\Unitful\sxiHA\src\conversion.jl:7 [inlined]
[2] var"#s104#131"(::Any, s::Any, t::Any)
@ Unitful .\none:0
[3] (::Core.GeneratedFunctionStub)(::UInt64, ::LineNumberNode, ::Any, ::Vararg{Any})
@ Core .\boot.jl:707
[4] convfact(::Type{Float64}, s::Unitful.FreeUnits{(), NoDims, nothing}, t::Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing} )
@ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:54
[5] uconvert(a::Unitful.FreeUnits{(), NoDims, nothing}, x::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{…}} )
@ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:102
[6] convert(::Type{Float64}, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing}} )
@ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:167
[7] setindex!
@ .\genericmemory.jl:243 [inlined]
[8] unsafe_copyto!(dest::Memory{Float64}, doffs::Int64, src::Memory{Quantity{…}}, soffs::Int64, n::Int64)
@ Base .\genericmemory.jl:153
[9] unsafe_copyto!
@ .\genericmemory.jl:133 [inlined]
[10] _copyto_impl!
@ .\array.jl:308 [inlined]
[11] copyto!
@ .\array.jl:294 [inlined]
[12] copyto!
@ .\array.jl:319 [inlined]
[13] fast_materialize!
@ .julia\packages\FastBroadcast\wfdTr\src\FastBroadcast.jl:220 [inlined]
[14] maxeig!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…})
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_utils.jl:103
[15] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…}, repeat_step::Bool)
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:853
[16] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…})
@ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:848
[17] solve!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
@ OrdinaryDiffEqCore .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:610
[18] #__solve#62
@ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:7 [inlined]
[19] __solve
@ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:1 [inlined]
[20] #solve_call#36
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:657 [inlined]
[21] solve_call
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:614 [inlined]
[22] #solve_up#45
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1211 [inlined]
[23] solve_up
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1188 [inlined]
[24] #solve#43
@ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1083 [inlined]
[25] solve(prob::ODEProblem{…}, args::ESERK5{…})
@ DiffEqBase .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1073
[26] top-level scope
@ repex.jl:10Environment (please complete the following information):
- Output of
using Pkg; Pkg.status()
Status `Project.toml`
[6e4b80f9] BenchmarkTools v1.6.0
⌅ [f68482b8] Cthulhu v2.16.5
[0c46a032] DifferentialEquations v7.16.1
[31c24e10] Distributions v0.25.120
[5ad8b20f] PhysicalConstants v0.2.4
⌃ [c3e4b0f8] Pluto v0.20.15
⌃ [731186ca] RecursiveArrayTools v3.37.0
⌃ [295af30f] Revise v3.8.0
[1986cc42] Unitful v1.24.0- Output of
using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `Manifest.toml`
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[56b672f2] BoundaryValueDiffEqCore v1.11.1
[85d9eb09] BoundaryValueDiffEqFIRK v1.9.0
[1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0
[9255f1d6] BoundaryValueDiffEqMIRKN v1.8.0
[ed55bfe0] BoundaryValueDiffEqShooting v1.9.0
[70df07ce] BracketingNonlinearSolve v1.3.0
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[50262376] OrdinaryDiffEqDefault v1.8.0
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[9286f039] OrdinaryDiffEqExplicitRK v1.4.0
[e0540318] OrdinaryDiffEqExponentialRK v1.8.0
[becaefa8] OrdinaryDiffEqExtrapolation v1.8.0
[5960d6e9] OrdinaryDiffEqFIRK v1.16.0
[101fe9f7] OrdinaryDiffEqFeagin v1.4.0
[d3585ca7] OrdinaryDiffEqFunctionMap v1.5.0
[d28bc4f8] OrdinaryDiffEqHighOrderRK v1.5.0
[9f002381] OrdinaryDiffEqIMEXMultistep v1.7.0
[521117fe] OrdinaryDiffEqLinear v1.6.0
[1344f307] OrdinaryDiffEqLowOrderRK v1.6.0
[b0944070] OrdinaryDiffEqLowStorageRK v1.6.0
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[c9986a66] OrdinaryDiffEqNordsieck v1.4.0
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[af6ede74] OrdinaryDiffEqRKN v1.5.0
[43230ef6] OrdinaryDiffEqRosenbrock v1.16.1
[2d112036] OrdinaryDiffEqSDIRK v1.7.0
[669c94d9] OrdinaryDiffEqSSPRK v1.6.0
[e3e12d00] OrdinaryDiffEqStabilizedIRK v1.6.0
[358294b1] OrdinaryDiffEqStabilizedRK v1.4.0
[fa646aed] OrdinaryDiffEqSymplecticRK v1.7.0
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[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.59.0+0
[3f19e933] p7zip_jll v17.4.0+2- Output of
versioninfo()
Julia Version 1.11.5
Commit 760b2e5b73 (2025-04-14 06:53 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Windows (x86_64-w64-mingw32)
CPU: 14 × Intel(R) Core(TM) Ultra 7 165U
WORD_SIZE: 64
LLVM: libLLVM-16.0.6 (ORCJIT, alderlake)
Threads: 1 default, 0 interactive, 1 GC (on 14 virtual cores)
Environment:
JULIA_EDITOR = code
JULIA_VSCODE_REPL = 1Additional context
For the mutable example, I notice that the type of fsalfirst is rateType (in this case Vector{Quantity{Float64, 𝐓 ^-1, FreeUnits{(s^-1,), 𝐓 ^-1, nothing}}}), whereas the array z is of type uType (Vector{Float64}). This does of course cause trouble when the contents of fsalfirst is copied into z:
The constant example seems to have a similar dimension problem.