diff --git a/docs/Manifest.toml b/docs/Manifest.toml
index d627674895..110876ec6b 100644
--- a/docs/Manifest.toml
+++ b/docs/Manifest.toml
@@ -1,8 +1,8 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.11.1"
+julia_version = "1.10.4"
 manifest_format = "2.0"
-project_hash = "4e52f4aa4cee9f66ec4f633f0ae538fbd227ac5e"
+project_hash = "47f7ad4650e8edde3c89b5fcc54764ce499b777c"
 
 [[deps.ADTypes]]
 git-tree-sha1 = "eea5d80188827b35333801ef97a40c2ed653b081"
@@ -51,17 +51,23 @@ version = "0.1.38"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "6a55b747d1812e699320963ffde36f1ebdda4099"
+git-tree-sha1 = "50c3c56a52972d78e8be9fd135bfb91c9574c140"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "4.0.4"
+version = "4.1.1"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
     AdaptStaticArraysExt = "StaticArrays"
 
+[[deps.AliasTables]]
+deps = ["PtrArrays", "Random"]
+git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
+uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
+version = "1.1.3"
+
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
-version = "1.1.2"
+version = "1.1.1"
 
 [[deps.ArnoldiMethod]]
 deps = ["LinearAlgebra", "Random", "StaticArrays"]
@@ -101,9 +107,9 @@ version = "7.16.0"
 
 [[deps.ArrayLayouts]]
 deps = ["FillArrays", "LinearAlgebra"]
-git-tree-sha1 = "0dd7edaff278e346eb0ca07a7e75c9438408a3ce"
+git-tree-sha1 = "492681bc44fac86804706ddb37da10880a2bd528"
 uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
-version = "1.10.3"
+version = "1.10.4"
 weakdeps = ["SparseArrays"]
 
     [deps.ArrayLayouts.extensions]
@@ -111,7 +117,6 @@ weakdeps = ["SparseArrays"]
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
-version = "1.11.0"
 
 [[deps.BangBang]]
 deps = ["Accessors", "ConstructionBase", "InitialValues", "LinearAlgebra", "Requires"]
@@ -137,18 +142,18 @@ version = "0.4.3"
 
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
-version = "1.11.0"
 
 [[deps.BibInternal]]
-git-tree-sha1 = "78aa378482bf6f338eef8f2440fb62a75ab1aaa3"
+deps = ["TestItems"]
+git-tree-sha1 = "b3107800faf461eca3281f89f8d768f4b3e99969"
 uuid = "2027ae74-3657-4b95-ae00-e2f7d55c3e64"
-version = "0.3.6"
+version = "0.3.7"
 
 [[deps.BibParser]]
-deps = ["BibInternal", "DataStructures", "Dates", "JSONSchema", "YAML"]
-git-tree-sha1 = "f24884311dceb5f8eafe11809b6f1d867b489a46"
+deps = ["BibInternal", "DataStructures", "Dates", "JSONSchema", "TestItems", "YAML"]
+git-tree-sha1 = "33478bed83bd124ea8ecd9161b3918fb4c70e529"
 uuid = "13533e5b-e1c2-4e57-8cef-cac5e52f6474"
-version = "0.2.1"
+version = "0.2.2"
 
 [[deps.Bibliography]]
 deps = ["BibInternal", "BibParser", "DataStructures", "Dates", "FileIO", "YAML"]
@@ -156,6 +161,11 @@ git-tree-sha1 = "520c679daed011ce835d9efa7778863aad6687ed"
 uuid = "f1be7e48-bf82-45af-a471-ae754a193061"
 version = "0.2.20"
 
+[[deps.Bijections]]
+git-tree-sha1 = "d8b0439d2be438a5f2cd68ec158fe08a7b2595b7"
+uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
+version = "0.1.9"
+
 [[deps.BitFlags]]
 git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d"
 uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
@@ -181,9 +191,9 @@ version = "1.1.1"
 
 [[deps.Bzip2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "9e2a6b69137e6969bab0152632dcb3bc108c8bdd"
+git-tree-sha1 = "8873e196c2eb87962a2048b3b8e08946535864a1"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
-version = "1.0.8+1"
+version = "1.0.8+2"
 
 [[deps.CPUSummary]]
 deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
@@ -231,9 +241,9 @@ version = "0.7.6"
 
 [[deps.ColorSchemes]]
 deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
-git-tree-sha1 = "b5278586822443594ff615963b0c09755771b3e0"
+git-tree-sha1 = "13951eb68769ad1cd460cdb2e64e5e95f1bf123d"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.26.0"
+version = "3.27.0"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -253,9 +263,14 @@ weakdeps = ["SpecialFunctions"]
 
 [[deps.Colors]]
 deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
-git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0"
+git-tree-sha1 = "64e15186f0aa277e174aa81798f7eb8598e0157e"
 uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
-version = "0.12.11"
+version = "0.13.0"
+
+[[deps.Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
 
 [[deps.CommonSolve]]
 git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
@@ -288,6 +303,11 @@ deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
 version = "1.1.1+0"
 
+[[deps.CompositeTypes]]
+git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
+uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
+version = "0.1.4"
+
 [[deps.CompositionsBase]]
 git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
 uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
@@ -312,17 +332,13 @@ version = "2.4.2"
 git-tree-sha1 = "76219f1ed5771adbb096743bff43fb5fdd4c1157"
 uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
 version = "1.5.8"
+weakdeps = ["IntervalSets", "LinearAlgebra", "StaticArrays"]
 
     [deps.ConstructionBase.extensions]
     ConstructionBaseIntervalSetsExt = "IntervalSets"
     ConstructionBaseLinearAlgebraExt = "LinearAlgebra"
     ConstructionBaseStaticArraysExt = "StaticArrays"
 
-    [deps.ConstructionBase.weakdeps]
-    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
-    LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
-    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
-
 [[deps.Contour]]
 git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8"
 uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
@@ -353,7 +369,6 @@ version = "1.0.0"
 [[deps.Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
-version = "1.11.0"
 
 [[deps.Dbus_jll]]
 deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl"]
@@ -368,10 +383,10 @@ uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
 version = "1.9.1"
 
 [[deps.DiffEqBase]]
-deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "Tricks", "TruncatedStacktraces"]
-git-tree-sha1 = "8977ef8249b602e4cb46ddbaf3c51e6adc2958c7"
+deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "TruncatedStacktraces"]
+git-tree-sha1 = "f8eefbb7e910f59087c4bb09ce670f235758ee4a"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.157.0"
+version = "6.158.3"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseCUDAExt = "CUDA"
@@ -414,10 +429,10 @@ uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
 version = "1.15.1"
 
 [[deps.DifferentiationInterface]]
-deps = ["ADTypes", "Compat", "LinearAlgebra", "PackageExtensionCompat"]
-git-tree-sha1 = "75d1716eb46e1b77304f7d79ec9ac6a4e6185d02"
+deps = ["ADTypes", "LinearAlgebra"]
+git-tree-sha1 = "5e27b35fae15c8f955c07edf608baa21d091e366"
 uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
-version = "0.6.7"
+version = "0.6.20"
 
     [deps.DifferentiationInterface.extensions]
     DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
@@ -432,6 +447,7 @@ version = "0.6.7"
     DifferentiationInterfaceReverseDiffExt = "ReverseDiff"
     DifferentiationInterfaceSparseArraysExt = "SparseArrays"
     DifferentiationInterfaceSparseMatrixColoringsExt = "SparseMatrixColorings"
+    DifferentiationInterfaceStaticArraysExt = "StaticArrays"
     DifferentiationInterfaceSymbolicsExt = "Symbolics"
     DifferentiationInterfaceTrackerExt = "Tracker"
     DifferentiationInterfaceZygoteExt = ["Zygote", "ForwardDiff"]
@@ -449,15 +465,16 @@ version = "0.6.7"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     SparseMatrixColorings = "0a514795-09f3-496d-8182-132a7b665d35"
+    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
     Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.Distances]]
 deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
-git-tree-sha1 = "66c4c81f259586e8f002eacebc177e1fb06363b0"
+git-tree-sha1 = "c7e3a542b999843086e2f29dac96a618c105be1d"
 uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
-version = "0.10.11"
+version = "0.10.12"
 weakdeps = ["ChainRulesCore", "SparseArrays"]
 
     [deps.Distances.extensions]
@@ -467,7 +484,22 @@ weakdeps = ["ChainRulesCore", "SparseArrays"]
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
-version = "1.11.0"
+
+[[deps.Distributions]]
+deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
+git-tree-sha1 = "3101c32aab536e7a27b1763c0797dba151b899ad"
+uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
+version = "0.25.113"
+
+    [deps.Distributions.extensions]
+    DistributionsChainRulesCoreExt = "ChainRulesCore"
+    DistributionsDensityInterfaceExt = "DensityInterface"
+    DistributionsTestExt = "Test"
+
+    [deps.Distributions.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
+    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [[deps.DocStringExtensions]]
 deps = ["LibGit2"]
@@ -487,20 +519,44 @@ git-tree-sha1 = "ca601b812efd1155a9bdf9c80e7e0428da598a08"
 uuid = "daee34ce-89f3-4625-b898-19384cb65244"
 version = "1.3.4"
 
+[[deps.DocumenterMermaid]]
+deps = ["Documenter", "MarkdownAST"]
+git-tree-sha1 = "74d0939e7b569019bc0824671f66bfc88260891d"
+uuid = "a078cd44-4d9c-4618-b545-3ab9d77f9177"
+version = "0.1.1"
+
+[[deps.DomainSets]]
+deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"]
+git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561"
+uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
+version = "0.7.14"
+
+    [deps.DomainSets.extensions]
+    DomainSetsMakieExt = "Makie"
+
+    [deps.DomainSets.weakdeps]
+    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
+
 [[deps.Downloads]]
 deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
 uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
 version = "1.6.0"
 
+[[deps.DynamicPolynomials]]
+deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Reexport", "Test"]
+git-tree-sha1 = "bbf1ace0781d9744cb697fb856bd2c3f6568dadb"
+uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
+version = "0.6.0"
+
 [[deps.EnumX]]
 git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
 uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.4"
 
 [[deps.EnzymeCore]]
-git-tree-sha1 = "9c3a42611e525352e9ad5e4134ddca5c692ff209"
+git-tree-sha1 = "04c777af6ef65530a96ab68f0a81a4608113aa1d"
 uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
-version = "0.8.4"
+version = "0.8.5"
 weakdeps = ["Adapt"]
 
     [deps.EnzymeCore.extensions]
@@ -576,6 +632,27 @@ git-tree-sha1 = "cbf5edddb61a43669710cbc2241bc08b36d9e660"
 uuid = "29a986be-02c6-4525-aec4-84b980013641"
 version = "2.0.4"
 
+[[deps.FastPower]]
+git-tree-sha1 = "58c3431137131577a7c379d00fea00be524338fb"
+uuid = "a4df4552-cc26-4903-aec0-212e50a0e84b"
+version = "1.1.1"
+
+    [deps.FastPower.extensions]
+    FastPowerEnzymeExt = "Enzyme"
+    FastPowerForwardDiffExt = "ForwardDiff"
+    FastPowerMeasurementsExt = "Measurements"
+    FastPowerMonteCarloMeasurementsExt = "MonteCarloMeasurements"
+    FastPowerReverseDiffExt = "ReverseDiff"
+    FastPowerTrackerExt = "Tracker"
+
+    [deps.FastPower.weakdeps]
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
+    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
+
 [[deps.Ferrite]]
 deps = ["EnumX", "ForwardDiff", "LinearAlgebra", "NearestNeighbors", "OrderedCollections", "Preferences", "Reexport", "SparseArrays", "StaticArrays", "Tensors", "WriteVTK"]
 path = ".."
@@ -604,30 +681,25 @@ version = "0.2.0"
 
 [[deps.FileIO]]
 deps = ["Pkg", "Requires", "UUIDs"]
-git-tree-sha1 = "82d8afa92ecf4b52d78d869f038ebfb881267322"
+git-tree-sha1 = "62ca0547a14c57e98154423419d8a342dca75ca9"
 uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
-version = "1.16.3"
+version = "1.16.4"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
-version = "1.11.0"
 
 [[deps.FillArrays]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "6a70198746448456524cb442b8af316927ff3e1a"
 uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
 version = "1.13.0"
+weakdeps = ["PDMats", "SparseArrays", "Statistics"]
 
     [deps.FillArrays.extensions]
     FillArraysPDMatsExt = "PDMats"
     FillArraysSparseArraysExt = "SparseArrays"
     FillArraysStatisticsExt = "Statistics"
 
-    [deps.FillArrays.weakdeps]
-    PDMats = "90014a1f-27ba-587c-ab20-58faa44d9150"
-    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
-    Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
-
 [[deps.FiniteDiff]]
 deps = ["ArrayInterface", "LinearAlgebra", "Setfield"]
 git-tree-sha1 = "b10bdafd1647f57ace3885143936749d61638c3b"
@@ -699,7 +771,6 @@ version = "0.1.3"
 [[deps.Future]]
 deps = ["Random"]
 uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
-version = "1.11.0"
 
 [[deps.GLFW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "libdecor_jll", "xkbcommon_jll"]
@@ -716,7 +787,7 @@ version = "9.0.1+0"
 [[deps.GMP_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "781609d7-10c4-51f6-84f2-b8444358ff6d"
-version = "6.3.0+0"
+version = "6.2.1+6"
 
 [[deps.GPUArraysCore]]
 deps = ["Adapt"]
@@ -726,15 +797,21 @@ version = "0.1.6"
 
 [[deps.GR]]
 deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Preferences", "Printf", "Qt6Wayland_jll", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "p7zip_jll"]
-git-tree-sha1 = "629693584cef594c3f6f99e76e7a7ad17e60e8d5"
+git-tree-sha1 = "ee28ddcd5517d54e417182fec3886e7412d3926f"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.73.7"
+version = "0.73.8"
 
 [[deps.GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "a8863b69c2a0859f2c2c87ebdc4c6712e88bdf0d"
+git-tree-sha1 = "f31929b9e67066bee48eec8b03c0df47d31a74b3"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.73.7+0"
+version = "0.73.8+0"
+
+[[deps.GenericLinearAlgebra]]
+deps = ["LinearAlgebra", "Printf", "Random", "libblastrampoline_jll"]
+git-tree-sha1 = "c4f9c87b74aedf20920034bd4db81d0bffc527d2"
+uuid = "14197337-ba66-59df-a3e3-ca00e7dcff7a"
+version = "0.3.14"
 
 [[deps.GenericSchur]]
 deps = ["LinearAlgebra", "Printf"]
@@ -797,9 +874,9 @@ version = "1.14.3+3"
 
 [[deps.HTTP]]
 deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "d1d712be3164d61d1fb98e7ce9bcbc6cc06b45ed"
+git-tree-sha1 = "bc3f416a965ae61968c20d0ad867556367f2817d"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "1.10.8"
+version = "1.10.9"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
@@ -819,6 +896,12 @@ git-tree-sha1 = "dd3b49277ec2bb2c6b94eb1604d4d0616016f7a6"
 uuid = "e33a78d0-f292-5ffc-b300-72abe9b543c8"
 version = "2.11.2+0"
 
+[[deps.HypergeometricFunctions]]
+deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
+git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
+uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
+version = "0.3.24"
+
 [[deps.IOCapture]]
 deps = ["Logging", "Random"]
 git-tree-sha1 = "b6d6bfdd7ce25b0f9b2f6b3dd56b2673a66c8770"
@@ -840,6 +923,11 @@ git-tree-sha1 = "4da0f88e9a39111c2fa3add390ab15f3a44f3ca3"
 uuid = "22cec73e-a1b8-11e9-2c92-598750a2cf9c"
 version = "0.3.1"
 
+[[deps.IntegerMathUtils]]
+git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
+uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
+version = "0.1.2"
+
 [[deps.IntelOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"]
 git-tree-sha1 = "10bd689145d2c3b2a9844005d01087cc1194e79e"
@@ -849,7 +937,17 @@ version = "2024.2.1+0"
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
-version = "1.11.0"
+
+[[deps.IntervalSets]]
+git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0"
+uuid = "8197267c-284f-5f27-9208-e0e47529a953"
+version = "0.7.10"
+weakdeps = ["Random", "RecipesBase", "Statistics"]
+
+    [deps.IntervalSets.extensions]
+    IntervalSetsRandomExt = "Random"
+    IntervalSetsRecipesBaseExt = "RecipesBase"
+    IntervalSetsStatisticsExt = "Statistics"
 
 [[deps.InverseFunctions]]
 git-tree-sha1 = "a779299d77cd080bf77b97535acecd73e1c5e5cb"
@@ -885,9 +983,9 @@ version = "0.1.8"
 
 [[deps.JLLWrappers]]
 deps = ["Artifacts", "Preferences"]
-git-tree-sha1 = "f389674c99bfcde17dc57454011aa44d5a260a40"
+git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
-version = "1.6.0"
+version = "1.6.1"
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
@@ -897,9 +995,9 @@ version = "0.21.4"
 
 [[deps.JSON3]]
 deps = ["Dates", "Mmap", "Parsers", "PrecompileTools", "StructTypes", "UUIDs"]
-git-tree-sha1 = "eb3edce0ed4fa32f75a0a11217433c31d56bd48b"
+git-tree-sha1 = "1d322381ef7b087548321d3f878cb4c9bd8f8f9b"
 uuid = "0f8b85d8-7281-11e9-16c2-39a750bddbf1"
-version = "1.14.0"
+version = "1.14.1"
 
     [deps.JSON3.extensions]
     JSON3ArrowExt = ["ArrowTypes"]
@@ -927,9 +1025,9 @@ version = "0.6.0"
 
 [[deps.Krylov]]
 deps = ["LinearAlgebra", "Printf", "SparseArrays"]
-git-tree-sha1 = "267dad6b4b7b5d529c76d40ff48d33f7e94cb834"
+git-tree-sha1 = "4f20a2df85a9e5d55c9e84634bbf808ed038cabd"
 uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
-version = "0.9.6"
+version = "0.9.8"
 
 [[deps.LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -938,10 +1036,10 @@ uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
 version = "3.100.2+0"
 
 [[deps.LERC_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "36bdbc52f13a7d1dcb0f3cd694e01677a515655b"
 uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
-version = "3.0.0+1"
+version = "4.0.0+0"
 
 [[deps.LLVMOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -956,9 +1054,9 @@ uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
 version = "2.10.2+1"
 
 [[deps.LaTeXStrings]]
-git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
+git-tree-sha1 = "dda21b8cbd6a6c40d9d02a73230f9d70fed6918c"
 uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
-version = "1.3.1"
+version = "1.4.0"
 
 [[deps.Latexify]]
 deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
@@ -983,9 +1081,9 @@ uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
 version = "0.1.17"
 
 [[deps.LazilyInitializedFields]]
-git-tree-sha1 = "8f7f3cabab0fd1800699663533b6d5cb3fc0e612"
+git-tree-sha1 = "0f2da712350b020bc3957f269c9caad516383ee0"
 uuid = "0e77f7df-68c5-4e49-93ce-4cd80f5598bf"
-version = "1.2.2"
+version = "1.3.0"
 
 [[deps.LazyArrays]]
 deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "SparseArrays"]
@@ -1008,7 +1106,6 @@ version = "2.2.1"
 [[deps.LazyArtifacts]]
 deps = ["Artifacts", "Pkg"]
 uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
-version = "1.11.0"
 
 [[deps.LibCURL]]
 deps = ["LibCURL_jll", "MozillaCACerts_jll"]
@@ -1018,17 +1115,16 @@ version = "0.6.4"
 [[deps.LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-version = "8.6.0+0"
+version = "8.4.0+0"
 
 [[deps.LibGit2]]
 deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
-version = "1.11.0"
 
 [[deps.LibGit2_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
 uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
-version = "1.7.2+0"
+version = "1.6.4+0"
 
 [[deps.LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
@@ -1037,7 +1133,6 @@ version = "1.11.0+1"
 
 [[deps.Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
-version = "1.11.0"
 
 [[deps.Libffi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1047,9 +1142,9 @@ version = "3.2.2+1"
 
 [[deps.Libgcrypt_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"]
-git-tree-sha1 = "9fd170c4bbfd8b935fdc5f8b7aa33532c991a673"
+git-tree-sha1 = "8be878062e0ffa2c3f67bb58a595375eda5de80b"
 uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
-version = "1.8.11+0"
+version = "1.11.0+0"
 
 [[deps.Libglvnd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
@@ -1059,15 +1154,15 @@ version = "1.6.0+0"
 
 [[deps.Libgpg_error_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "fbb1f2bef882392312feb1ede3615ddc1e9b99ed"
+git-tree-sha1 = "c6ce1e19f3aec9b59186bdf06cdf3c4fc5f5f3e6"
 uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
-version = "1.49.0+0"
+version = "1.50.0+0"
 
 [[deps.Libiconv_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175"
+git-tree-sha1 = "61dfdba58e585066d8bce214c5a51eaa0539f269"
 uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
-version = "1.17.0+0"
+version = "1.17.0+1"
 
 [[deps.Libmount_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -1077,9 +1172,9 @@ version = "2.40.1+0"
 
 [[deps.Libtiff_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
-git-tree-sha1 = "2da088d113af58221c52828a80378e16be7d037a"
+git-tree-sha1 = "b404131d06f7886402758c9ce2214b636eb4d54a"
 uuid = "89763e89-9b03-5906-acba-b20f662cd828"
-version = "4.5.1+1"
+version = "4.7.0+0"
 
 [[deps.Libuuid_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -1095,9 +1190,9 @@ version = "0.9.1"
 
 [[deps.LineSearch]]
 deps = ["ADTypes", "CommonSolve", "ConcreteStructs", "FastClosures", "LinearAlgebra", "MaybeInplace", "SciMLBase", "SciMLJacobianOperators", "StaticArraysCore"]
-git-tree-sha1 = "dc82b3c3640a4362f09e4d7594b4387a820857e4"
+git-tree-sha1 = "97d502765cc5cf3a722120f50da03c2474efce04"
 uuid = "87fe0de2-c867-4266-b59a-2f0a94fc965b"
-version = "0.1.3"
+version = "0.1.4"
 weakdeps = ["LineSearches"]
 
     [deps.LineSearch.extensions]
@@ -1112,7 +1207,6 @@ version = "7.3.0"
 [[deps.LinearAlgebra]]
 deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
-version = "1.11.0"
 
 [[deps.LinearElasticity_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
@@ -1186,13 +1280,12 @@ version = "0.3.28"
 
 [[deps.Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
-version = "1.11.0"
 
 [[deps.LoggingExtras]]
 deps = ["Dates", "Logging"]
-git-tree-sha1 = "c1dd6d7978c12545b4179fb6153b9250c96b0075"
+git-tree-sha1 = "f02b56007b064fbfddb4c9cd60161b6dd0f40df3"
 uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
-version = "1.0.3"
+version = "1.1.0"
 
 [[deps.LoopVectorization]]
 deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
@@ -1265,7 +1358,6 @@ version = "0.1.8"
 [[deps.Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
-version = "1.11.0"
 
 [[deps.MarkdownAST]]
 deps = ["AbstractTrees", "Markdown"]
@@ -1292,7 +1384,7 @@ version = "1.1.9"
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.6+0"
+version = "2.28.2+1"
 
 [[deps.Measures]]
 git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
@@ -1313,17 +1405,28 @@ version = "1.2.0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
-version = "1.11.0"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2023.12.12"
+version = "2023.1.10"
 
 [[deps.MuladdMacro]]
 git-tree-sha1 = "cac9cc5499c25554cba55cd3c30543cff5ca4fab"
 uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
 version = "0.2.4"
 
+[[deps.MultivariatePolynomials]]
+deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
+git-tree-sha1 = "8d39779e29f80aa6c071e7ac17101c6e31f075d7"
+uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
+version = "0.5.7"
+
+[[deps.MutableArithmetics]]
+deps = ["LinearAlgebra", "SparseArrays", "Test"]
+git-tree-sha1 = "90077f1e79de8c9c7c8a90644494411111f4e07b"
+uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+version = "1.5.2"
+
 [[deps.NLSolversBase]]
 deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
 git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c"
@@ -1404,7 +1507,7 @@ version = "0.7.0"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.27+1"
+version = "0.3.23+4"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1477,10 +1580,10 @@ uuid = "6ad6398a-0878-4a85-9266-38940aa047c8"
 version = "1.1.2"
 
 [[deps.OrdinaryDiffEqCore]]
-deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "TruncatedStacktraces"]
-git-tree-sha1 = "33e4292e832d439c3706410ae867f3c091d79155"
+deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "TruncatedStacktraces"]
+git-tree-sha1 = "1175717a62ab21736a8f5d0d2531d2a6ad3b9e74"
 uuid = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
-version = "1.7.0"
+version = "1.9.0"
 weakdeps = ["EnzymeCore"]
 
     [deps.OrdinaryDiffEqCore.extensions]
@@ -1511,16 +1614,16 @@ uuid = "e0540318-69ee-4070-8777-9e2de6de23de"
 version = "1.1.0"
 
 [[deps.OrdinaryDiffEqExtrapolation]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "RecursiveArrayTools", "Reexport"]
-git-tree-sha1 = "fea595528a160ed5cade9eee217a9691b1d97714"
+deps = ["DiffEqBase", "FastBroadcast", "FastPower", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "RecursiveArrayTools", "Reexport"]
+git-tree-sha1 = "048bcccc8f59c20d5b4ad268eef4d7d21c005a94"
 uuid = "becaefa8-8ca2-5cf9-886d-c06f3d2bd2c4"
-version = "1.1.0"
+version = "1.2.1"
 
 [[deps.OrdinaryDiffEqFIRK]]
-deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "SciMLOperators"]
-git-tree-sha1 = "795221c662698851328cb7787965ab4a180d9468"
+deps = ["DiffEqBase", "FastBroadcast", "FastPower", "GenericLinearAlgebra", "GenericSchur", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polynomials", "RecursiveArrayTools", "Reexport", "RootedTrees", "SciMLOperators", "Symbolics"]
+git-tree-sha1 = "5735f4c094dff311f5064d1a351da9669e4647e3"
 uuid = "5960d6e9-dd7a-4743-88e7-cf307b64f125"
-version = "1.1.1"
+version = "1.2.0"
 
 [[deps.OrdinaryDiffEqFeagin]]
 deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
@@ -1653,6 +1756,12 @@ deps = ["Artifacts", "Libdl"]
 uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
 version = "10.42.0+1"
 
+[[deps.PDMats]]
+deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
+git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
+uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
+version = "0.11.31"
+
 [[deps.PackageExtensionCompat]]
 git-tree-sha1 = "fb28e33b8a95c4cee25ce296c817d89cc2e53518"
 uuid = "65ce6f38-6b18-4e1d-a461-8949797d7930"
@@ -1689,25 +1798,21 @@ uuid = "30392449-352a-5448-841d-b1acce4e97dc"
 version = "0.43.4+0"
 
 [[deps.Pkg]]
-deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "Random", "SHA", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.11.0"
-weakdeps = ["REPL"]
-
-    [deps.Pkg.extensions]
-    REPLExt = "REPL"
+version = "1.10.0"
 
 [[deps.PlotThemes]]
 deps = ["PlotUtils", "Statistics"]
-git-tree-sha1 = "6e55c6841ce3411ccb3457ee52fc48cb698d6fb0"
+git-tree-sha1 = "41031ef3a1be6f5bbbf3e8073f210556daeae5ca"
 uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
-version = "3.2.0"
+version = "3.3.0"
 
 [[deps.PlotUtils]]
-deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"]
-git-tree-sha1 = "7b1a9df27f072ac4c9c7cbe5efb198489258d1f5"
+deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "StableRNGs", "Statistics"]
+git-tree-sha1 = "3ca9a356cd2e113c420f2c13bea19f8d3fb1cb18"
 uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
-version = "1.4.1"
+version = "1.4.3"
 
 [[deps.Plots]]
 deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
@@ -1741,6 +1846,24 @@ git-tree-sha1 = "645bed98cd47f72f67316fd42fc47dee771aefcd"
 uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
 version = "0.2.2"
 
+[[deps.Polynomials]]
+deps = ["LinearAlgebra", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
+git-tree-sha1 = "1a9cfb2dc2c2f1bd63f1906d72af39a79b49b736"
+uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
+version = "4.0.11"
+
+    [deps.Polynomials.extensions]
+    PolynomialsChainRulesCoreExt = "ChainRulesCore"
+    PolynomialsFFTWExt = "FFTW"
+    PolynomialsMakieCoreExt = "MakieCore"
+    PolynomialsMutableArithmeticsExt = "MutableArithmetics"
+
+    [deps.Polynomials.weakdeps]
+    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
+    MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
+    MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
+
 [[deps.PositiveFactorizations]]
 deps = ["LinearAlgebra"]
 git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
@@ -1771,10 +1894,15 @@ git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
 version = "1.4.3"
 
+[[deps.Primes]]
+deps = ["IntegerMathUtils"]
+git-tree-sha1 = "cb420f77dc474d23ee47ca8d14c90810cafe69e7"
+uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
+version = "0.5.6"
+
 [[deps.Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
-version = "1.11.0"
 
 [[deps.ProgressMeter]]
 deps = ["Distributed", "Printf"]
@@ -1782,6 +1910,11 @@ git-tree-sha1 = "8f6bc219586aef8baf0ff9a5fe16ee9c70cb65e4"
 uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
 version = "1.10.2"
 
+[[deps.PtrArrays]]
+git-tree-sha1 = "77a42d78b6a92df47ab37e177b2deac405e1c88f"
+uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
+version = "1.2.1"
+
 [[deps.Qt6Base_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
 git-tree-sha1 = "492601870742dcd38f233b23c3ec629628c1d724"
@@ -1806,15 +1939,25 @@ git-tree-sha1 = "729927532d48cf79f49070341e1d918a65aba6b0"
 uuid = "e99dba38-086e-5de3-a5b1-6e4c66e897c3"
 version = "6.7.1+1"
 
+[[deps.QuadGK]]
+deps = ["DataStructures", "LinearAlgebra"]
+git-tree-sha1 = "cda3b045cf9ef07a08ad46731f5a3165e56cf3da"
+uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
+version = "2.11.1"
+
+    [deps.QuadGK.extensions]
+    QuadGKEnzymeExt = "Enzyme"
+
+    [deps.QuadGK.weakdeps]
+    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
+
 [[deps.REPL]]
-deps = ["InteractiveUtils", "Markdown", "Sockets", "StyledStrings", "Unicode"]
+deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
-version = "1.11.0"
 
 [[deps.Random]]
 deps = ["SHA"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
-version = "1.11.0"
 
 [[deps.RecipesBase]]
 deps = ["PrecompileTools"]
@@ -1830,9 +1973,9 @@ version = "0.6.12"
 
 [[deps.RecursiveArrayTools]]
 deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "b034171b93aebc81b3e1890a036d13a9c4a9e3e0"
+git-tree-sha1 = "6f4dca5fd8e97087a76b7ab8384d1c3086ace0b7"
 uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
-version = "3.27.0"
+version = "3.27.3"
 
     [deps.RecursiveArrayTools.extensions]
     RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
@@ -1883,6 +2026,28 @@ git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
 version = "1.3.0"
 
+[[deps.Rmath]]
+deps = ["Random", "Rmath_jll"]
+git-tree-sha1 = "852bd0f55565a9e973fcfee83a84413270224dc4"
+uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
+version = "0.8.0"
+
+[[deps.Rmath_jll]]
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "58cdd8fb2201a6267e1db87ff148dd6c1dbd8ad8"
+uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
+version = "0.5.1+0"
+
+[[deps.RootedTrees]]
+deps = ["LaTeXStrings", "Latexify", "LinearAlgebra", "Preferences", "RecipesBase", "Requires"]
+git-tree-sha1 = "c0c464d3063e46e4128d21fd677ca575ace44fdc"
+uuid = "47965b36-3f3e-11e9-0dcf-4570dfd42a8c"
+version = "2.23.1"
+weakdeps = ["Plots"]
+
+    [deps.RootedTrees.extensions]
+    PlotsExt = "Plots"
+
 [[deps.RuntimeGeneratedFunctions]]
 deps = ["ExprTools", "SHA", "Serialization"]
 git-tree-sha1 = "04c968137612c4a5629fa531334bb81ad5680f00"
@@ -1917,10 +2082,10 @@ uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
 version = "0.6.43"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
-git-tree-sha1 = "50ed64cd5ad79b0bef71fdb6a11d10c3448bfef0"
+deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
+git-tree-sha1 = "f102316e5c958b425ef530ee51c7c8a1def55d1f"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.56.1"
+version = "2.58.1"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -1942,16 +2107,16 @@ version = "2.56.1"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SciMLJacobianOperators]]
-deps = ["ADTypes", "ConcreteStructs", "ConstructionBase", "DifferentiationInterface", "FastClosures", "LinearAlgebra", "SciMLBase", "SciMLOperators"]
-git-tree-sha1 = "991d2a8900e687e2c693d587daa739c8fda01366"
+deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "ConstructionBase", "DifferentiationInterface", "FastClosures", "LinearAlgebra", "SciMLBase", "SciMLOperators"]
+git-tree-sha1 = "f66048bb969e67bd7d1bdd03cd0b81219642bbd0"
 uuid = "19f34311-ddf3-4b8b-af20-060888a46c0e"
-version = "0.1.0"
+version = "0.1.1"
 
 [[deps.SciMLOperators]]
 deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"]
-git-tree-sha1 = "e39c5f217f9aca640c8e27ab21acf557a3967db5"
+git-tree-sha1 = "6149620767866d4b0f0f7028639b6e661b6a1e44"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.3.10"
+version = "0.3.12"
 weakdeps = ["SparseArrays", "StaticArraysCore"]
 
     [deps.SciMLOperators.extensions]
@@ -1972,7 +2137,6 @@ version = "1.2.1"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
-version = "1.11.0"
 
 [[deps.Setfield]]
 deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
@@ -1983,7 +2147,6 @@ version = "1.1.1"
 [[deps.SharedArrays]]
 deps = ["Distributed", "Mmap", "Random", "Serialization"]
 uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
-version = "1.11.0"
 
 [[deps.Showoff]]
 deps = ["Dates", "Grisu"]
@@ -2027,7 +2190,6 @@ version = "1.1.0"
 
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
-version = "1.11.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
@@ -2038,13 +2200,13 @@ version = "1.2.1"
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
-version = "1.11.0"
+version = "1.10.0"
 
 [[deps.SparseConnectivityTracer]]
-deps = ["ADTypes", "DocStringExtensions", "FillArrays", "LinearAlgebra", "Random", "Requires", "SparseArrays"]
-git-tree-sha1 = "e5efbf152d3e14a513f19a9119b810340b7ac86b"
+deps = ["ADTypes", "DocStringExtensions", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
+git-tree-sha1 = "6914df6005bab9940e2a96879a97a43e1fb1ce78"
 uuid = "9f842d2f-2579-4b1d-911e-f412cf18a3f5"
-version = "0.6.6"
+version = "0.6.8"
 
     [deps.SparseConnectivityTracer.extensions]
     SparseConnectivityTracerDataInterpolationsExt = "DataInterpolations"
@@ -2061,10 +2223,10 @@ version = "0.6.6"
     SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"
 
 [[deps.SparseDiffTools]]
-deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "Tricks", "UnPack", "VertexSafeGraphs"]
-git-tree-sha1 = "7db12cef226aaa8ca730040c9c35e32b86a69b83"
+deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "UnPack", "VertexSafeGraphs"]
+git-tree-sha1 = "b906758c107b049b6b71599b9f928d9b14e5554a"
 uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
-version = "2.22.0"
+version = "2.23.0"
 
     [deps.SparseDiffTools.extensions]
     SparseDiffToolsEnzymeExt = "Enzyme"
@@ -2081,10 +2243,14 @@ version = "2.22.0"
     Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [[deps.SparseMatrixColorings]]
-deps = ["ADTypes", "Compat", "DataStructures", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
-git-tree-sha1 = "ad17e2069015839e58a1f9275608b405fae1f28e"
+deps = ["ADTypes", "DataStructures", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
+git-tree-sha1 = "f37f046636f8dc353a39279abfefe296db212171"
 uuid = "0a514795-09f3-496d-8182-132a7b665d35"
-version = "0.4.6"
+version = "0.4.8"
+weakdeps = ["Colors"]
+
+    [deps.SparseMatrixColorings.extensions]
+    SparseMatrixColoringsColorsExt = "Colors"
 
 [[deps.Sparspak]]
 deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
@@ -2102,6 +2268,12 @@ weakdeps = ["ChainRulesCore"]
     [deps.SpecialFunctions.extensions]
     SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"
 
+[[deps.StableRNGs]]
+deps = ["Random"]
+git-tree-sha1 = "83e6cce8324d49dfaf9ef059227f91ed4441a8e5"
+uuid = "860ef19b-820b-49d6-a774-d7a799459cd3"
+version = "1.0.2"
+
 [[deps.StableTasks]]
 git-tree-sha1 = "073d5c20d44129b20fe954720b97069579fa403b"
 uuid = "91464d47-22a1-43fe-8b7f-2d57ee82463f"
@@ -2141,14 +2313,9 @@ uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
 version = "1.4.3"
 
 [[deps.Statistics]]
-deps = ["LinearAlgebra"]
-git-tree-sha1 = "ae3bb1eb3bba077cd276bc5cfc337cc65c3075c0"
+deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
-version = "1.11.1"
-weakdeps = ["SparseArrays"]
-
-    [deps.Statistics.extensions]
-    SparseArraysExt = ["SparseArrays"]
+version = "1.10.0"
 
 [[deps.StatsAPI]]
 deps = ["LinearAlgebra"]
@@ -2162,6 +2329,17 @@ git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
 version = "0.34.3"
 
+[[deps.StatsFuns]]
+deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
+git-tree-sha1 = "b423576adc27097764a90e163157bcfc9acf0f46"
+uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
+version = "1.3.2"
+weakdeps = ["ChainRulesCore", "InverseFunctions"]
+
+    [deps.StatsFuns.extensions]
+    StatsFunsChainRulesCoreExt = "ChainRulesCore"
+    StatsFunsInverseFunctionsExt = "InverseFunctions"
+
 [[deps.StrideArraysCore]]
 deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
 git-tree-sha1 = "f35f6ab602df8413a50c4a25ca14de821e8605fb"
@@ -2180,20 +2358,62 @@ git-tree-sha1 = "159331b30e94d7b11379037feeb9b690950cace8"
 uuid = "856f2bd8-1eba-4b0a-8007-ebc267875bd4"
 version = "1.11.0"
 
-[[deps.StyledStrings]]
-uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
-version = "1.11.0"
+[[deps.SuiteSparse]]
+deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
+uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"
 
 [[deps.SuiteSparse_jll]]
 deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
-version = "7.7.0+0"
+version = "7.2.1+1"
 
 [[deps.SymbolicIndexingInterface]]
 deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
-git-tree-sha1 = "0225f7c62f5f78db35aae6abb2e5cabe38ce578f"
+git-tree-sha1 = "20cf607cafb31f922bce84d60379203e7a126911"
 uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
-version = "0.3.31"
+version = "0.3.34"
+
+[[deps.SymbolicLimits]]
+deps = ["SymbolicUtils"]
+git-tree-sha1 = "fabf4650afe966a2ba646cabd924c3fd43577fc3"
+uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3"
+version = "0.2.2"
+
+[[deps.SymbolicUtils]]
+deps = ["AbstractTrees", "ArrayInterface", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
+git-tree-sha1 = "04e9157537ba51dad58336976f8d04b9ab7122f0"
+uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
+version = "3.7.2"
+
+    [deps.SymbolicUtils.extensions]
+    SymbolicUtilsLabelledArraysExt = "LabelledArrays"
+    SymbolicUtilsReverseDiffExt = "ReverseDiff"
+
+    [deps.SymbolicUtils.weakdeps]
+    LabelledArrays = "2ee39098-c373-598a-b85f-a56591580800"
+    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
+
+[[deps.Symbolics]]
+deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
+git-tree-sha1 = "0caef7687abf7094132fa3112bf5514c36a99226"
+uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
+version = "6.18.3"
+
+    [deps.Symbolics.extensions]
+    SymbolicsForwardDiffExt = "ForwardDiff"
+    SymbolicsGroebnerExt = "Groebner"
+    SymbolicsLuxExt = "Lux"
+    SymbolicsNemoExt = "Nemo"
+    SymbolicsPreallocationToolsExt = ["PreallocationTools", "ForwardDiff"]
+    SymbolicsSymPyExt = "SymPy"
+
+    [deps.Symbolics.weakdeps]
+    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+    Groebner = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
+    Lux = "b2108857-7c20-44ae-9111-449ecde12c47"
+    Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
+    PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
+    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"
 
 [[deps.TOML]]
 deps = ["Dates"]
@@ -2234,10 +2454,19 @@ git-tree-sha1 = "957f256fb380cad64cae4da39e562ecfb5c3fec9"
 uuid = "48a634ad-e948-5137-8d70-aa71f2a747f4"
 version = "1.16.1"
 
+[[deps.TermInterface]]
+git-tree-sha1 = "d673e0aca9e46a2f63720201f55cc7b3e7169b16"
+uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
+version = "2.0.0"
+
 [[deps.Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
-version = "1.11.0"
+
+[[deps.TestItems]]
+git-tree-sha1 = "42fd9023fef18b9b78c8343a4e2f3813ffbcefcb"
+uuid = "1c621080-faea-4a02-84b6-bbd5e436b8fe"
+version = "1.0.0"
 
 [[deps.ThreadingUtilities]]
 deps = ["ManualMemory"]
@@ -2262,11 +2491,6 @@ git-tree-sha1 = "be986ad9dac14888ba338c2554dcfec6939e1393"
 uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
 version = "0.2.1"
 
-[[deps.Tricks]]
-git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb"
-uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.9"
-
 [[deps.TruncatedStacktraces]]
 deps = ["InteractiveUtils", "MacroTools", "Preferences"]
 git-tree-sha1 = "ea3e54c2bdde39062abf5a9758a23735558705e1"
@@ -2281,7 +2505,6 @@ version = "1.5.1"
 [[deps.UUIDs]]
 deps = ["Random", "SHA"]
 uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
-version = "1.11.0"
 
 [[deps.UnPack]]
 git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
@@ -2290,7 +2513,6 @@ version = "1.0.2"
 
 [[deps.Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
-version = "1.11.0"
 
 [[deps.UnicodeFun]]
 deps = ["REPL"]
@@ -2315,6 +2537,12 @@ git-tree-sha1 = "975c354fcd5f7e1ddcc1f1a23e6e091d99e99bc8"
 uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
 version = "1.6.4"
 
+[[deps.Unityper]]
+deps = ["ConstructionBase"]
+git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0"
+uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415"
+version = "0.1.6"
+
 [[deps.Unzip]]
 git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
 uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
@@ -2327,9 +2555,9 @@ version = "1.0.1"
 
 [[deps.VectorizationBase]]
 deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
-git-tree-sha1 = "e7f5b81c65eb858bed630fe006837b935518aca5"
+git-tree-sha1 = "4ab62a49f1d8d9548a1c8d1a75e5f55cf196f64e"
 uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
-version = "0.21.70"
+version = "0.21.71"
 
 [[deps.VertexSafeGraphs]]
 deps = ["Graphs"]
@@ -2363,9 +2591,9 @@ version = "1.21.0"
 
 [[deps.XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
-git-tree-sha1 = "1165b0443d0eca63ac1e32b8c0eb69ed2f4f8127"
+git-tree-sha1 = "6a451c6f33a176150f315726eba8b92fbfdb9ae7"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.13.3+0"
+version = "2.13.4+0"
 
 [[deps.XSLT_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]
@@ -2375,9 +2603,9 @@ version = "1.1.41+0"
 
 [[deps.XZ_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "ac88fb95ae6447c8dda6a5503f3bafd496ae8632"
+git-tree-sha1 = "15e637a697345f6743674f1322beefbc5dcd5cfc"
 uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
-version = "5.4.6+0"
+version = "5.6.3+0"
 
 [[deps.Xorg_libICE_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -2591,7 +2819,7 @@ version = "0.15.2+0"
 [[deps.libblastrampoline_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
-version = "5.11.0+0"
+version = "5.8.0+1"
 
 [[deps.libdecor_jll]]
 deps = ["Artifacts", "Dbus_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pango_jll", "Wayland_jll", "xkbcommon_jll"]
@@ -2638,7 +2866,7 @@ version = "1.1.6+0"
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-version = "1.59.0+0"
+version = "1.52.0+1"
 
 [[deps.oneTBB_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
diff --git a/docs/Project.toml b/docs/Project.toml
index ead8045637..10fec54fdf 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -3,6 +3,7 @@ BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
 Changelog = "5217a498-cd5d-4ec6-b8c2-9b85a09b6e3e"
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
 DocumenterCitations = "daee34ce-89f3-4625-b898-19384cb65244"
+DocumenterMermaid = "a078cd44-4d9c-4618-b545-3ab9d77f9177"
 Ferrite = "c061ca5d-56c9-439f-9c0e-210fe06d3992"
 FerriteGmsh = "4f95f4f8-b27c-4ae5-9a39-ea55e634e36b"
 FerriteMeshParser = "0f8c756f-80dd-4a75-85c6-b0a5ab9d4620"
diff --git a/docs/make.jl b/docs/make.jl
index 001312ffaf..a72801a41c 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -10,7 +10,7 @@ if liveserver
     @timeit dto "Revise.revise()" Revise.revise()
 end
 
-using Documenter, DocumenterCitations, Ferrite, FerriteGmsh, FerriteMeshParser,
+using Documenter, DocumenterCitations, DocumenterMermaid, Ferrite, FerriteGmsh, FerriteMeshParser,
     SparseArrays, LinearAlgebra, Changelog
 
 using BlockArrays