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Merge branch 'SciML:master' into sdepinn
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.github/workflows/SpellCheck.yml

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- name: Checkout Actions Repository
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uses: actions/checkout@v4
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- name: Check spelling
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uses: crate-ci/typos@v1.32.0
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uses: crate-ci/typos@v1.33.1

Project.toml

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AdvancedHMC = "0.6.1, 0.7"
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Aqua = "0.8.9"
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ArrayInterface = "7.11"
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Boltz = "1"
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CUDA = "5.5.2"
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ChainRulesCore = "1.24"
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ComponentArrays = "0.15.16"
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ExplicitImports = "1.10.1"
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FastGaussQuadrature = "1.0.2"
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Flux = "0.14.22"
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ForwardDiff = "0.10.36"
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ForwardDiff = "0.10.36, 1"
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Functors = "0.4.12, 0.5"
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Hwloc = "3.3.0"
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Integrals = "4.5"
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MCMCChains = "6"
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MLDataDevices = "1.2.0"
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MethodOfLines = "0.11.6"
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ModelingToolkit = "9.46"
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ModelingToolkit = "9.46, 10"
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MonteCarloMeasurements = "1.1"
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NeuralOperators = "0.5"
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Optimisers = "0.3.3, 0.4"
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[extras]
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Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
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Boltz = "4544d5e4-abc5-4dea-817f-29e4c205d9c8"
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CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
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DiffEqNoiseProcess = "77a26b50-5914-5dd7-bc55-306e6241c503"
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ExplicitImports = "7d51a73a-1435-4ff3-83d9-f097790105c7"
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Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
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[targets]
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test = ["Aqua", "CUDA", "DiffEqNoiseProcess", "ExplicitImports", "FastGaussQuadrature", "Flux", "Hwloc", "InteractiveUtils", "LineSearches", "LuxCUDA", "LuxCore", "LuxLib", "MethodOfLines", "OptimizationOptimJL", "OrdinaryDiffEq", "ReTestItems", "StochasticDiffEq", "TensorBoardLogger", "Test"]
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test = ["Aqua", "Boltz", "CUDA", "DiffEqNoiseProcess", "ExplicitImports", "FastGaussQuadrature", "Flux", "Hwloc", "InteractiveUtils", "LineSearches", "LuxCUDA", "LuxCore", "LuxLib", "MethodOfLines", "OptimizationOptimJL", "OrdinaryDiffEq", "ReTestItems", "StochasticDiffEq", "TensorBoardLogger", "Test"]

README.md

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```julia
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using NeuralPDE, Lux, ModelingToolkit, Optimization, OptimizationOptimisers
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import ModelingToolkit: Interval, infimum, supremum
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import DomainSets: Interval, infimum, supremum
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@parameters x y
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@variables u(..)

docs/Project.toml

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Lux = "1"
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LuxCUDA = "0.3.2"
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MethodOfLines = "0.11"
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ModelingToolkit = "9.7"
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ModelingToolkit = "9.7, 10"
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MonteCarloMeasurements = "1"
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NeuralOperators = "0.5"
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NeuralPDE = "5"

docs/src/developer/debugging.md

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```julia
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using NeuralPDE, ModelingToolkit, Flux, Zygote
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import ModelingToolkit: Interval, infimum, supremum
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import DomainSets: Interval, infimum, supremum
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# 2d wave equation, neumann boundary condition
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@parameters x, t
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@variables u(..)

docs/src/examples/3rd.md

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```@example 3rdDerivative
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using NeuralPDE, Lux, ModelingToolkit
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using Optimization, OptimizationOptimJL, OptimizationOptimisers
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import ModelingToolkit: Interval, infimum, supremum
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import DomainSets: Interval, infimum, supremum
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@parameters x
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@variables u(..)

docs/src/examples/heterogeneous.md

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```@example heterogeneous
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using NeuralPDE, Lux, ModelingToolkit, Optimization, OptimizationOptimJL
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import ModelingToolkit: Interval
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import DomainSets: Interval
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@parameters x y
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@variables p(..) q(..) r(..) s(..)

docs/src/examples/linear_parabolic.md

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using NeuralPDE, Lux, ModelingToolkit, Optimization, OptimizationOptimisers,
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OptimizationOptimJL, LineSearches
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using Plots
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using ModelingToolkit: Interval, infimum, supremum
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using DomainSets: Interval, infimum, supremum
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@parameters t, x
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@variables u(..), w(..)

docs/src/examples/nonlinear_elliptic.md

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```@example nonlinear_elliptic
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using NeuralPDE, Lux, ModelingToolkit, Optimization, OptimizationOptimJL, Roots
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using Plots
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using ModelingToolkit: Interval, infimum, supremum
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using DomainSets: Interval, infimum, supremum
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@parameters x, y
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Dx = Differential(x)

docs/src/examples/nonlinear_hyperbolic.md

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LineSearches
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using SpecialFunctions
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using Plots
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using ModelingToolkit: Interval, infimum, supremum
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using DomainSets: Interval, infimum, supremum
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@parameters t, x
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@variables u(..), w(..)

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