Julia Dependency Update (#266)

Automated changes by [create-pull-request](https://github.com/peter-evans/create-pull-request) GitHub action

Manifest.toml

@@ -22,9 +22,9 @@ version = "0.4.4"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24"
+git-tree-sha1 = "68c4c187a232e7abe00ac29e3b03e09af9d77317"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "3.6.2"
+version = "3.7.0"
 weakdeps = ["StaticArrays"]
 
     [deps.Adapt.extensions]
@@ -68,6 +68,16 @@ git-tree-sha1 = "e5f08b5689b1aad068e01751889f2f615c7db36d"
 uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2"
 version = "0.1.29"
 
+[[deps.ArrayLayouts]]
+deps = ["FillArrays", "LinearAlgebra"]
+git-tree-sha1 = "9a731850434825d183af39c6e6cd0a1c32dd7e20"
+uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
+version = "1.4.2"
+weakdeps = ["SparseArrays"]
+
+    [deps.ArrayLayouts.extensions]
+    ArrayLayoutsSparseArraysExt = "SparseArrays"
+
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 
@@ -77,6 +87,16 @@ git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7"
 uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
 version = "1.0.1"
 
+[[deps.BandedMatrices]]
+deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "PrecompileTools"]
+git-tree-sha1 = "8f32ba3789b29880901748dce28f7d5c1d4ae86a"
+uuid = "aae01518-5342-5314-be14-df237901396f"
+version = "1.1.0"
+weakdeps = ["SparseArrays"]
+
+    [deps.BandedMatrices.extensions]
+    BandedMatricesSparseArraysExt = "SparseArrays"
+
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
@@ -97,10 +117,10 @@ uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
 version = "0.1.5"
 
 [[deps.BoundaryValueDiffEq]]
-deps = ["ADTypes", "Adapt", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NonlinearSolve", "PreallocationTools", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "SparseArrays", "SparseDiffTools", "TruncatedStacktraces", "UnPack"]
-git-tree-sha1 = "de4f02f54b760a6a68b7fb57185275266c09beca"
+deps = ["ADTypes", "Adapt", "ArrayInterface", "BandedMatrices", "ConcreteStructs", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NonlinearSolve", "PreallocationTools", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "SparseArrays", "SparseDiffTools", "TruncatedStacktraces", "UnPack"]
+git-tree-sha1 = "669135edbe5eabf8c69971f1a6c0936dd73688ae"
 uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
-version = "5.1.0"
+version = "5.2.0"
 
     [deps.BoundaryValueDiffEq.extensions]
     BoundaryValueDiffEqODEInterfaceExt = "ODEInterface"
@@ -992,9 +1012,9 @@ uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
 [[deps.LinearSolve]]
 deps = ["ArrayInterface", "ConcreteStructs", "DocStringExtensions", "EnumX", "EnzymeCore", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "Libdl", "LinearAlgebra", "MKL_jll", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "Requires", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "SuiteSparse", "UnPack"]
-git-tree-sha1 = "158e45dd35cec1ecade0e554c0104ee89e772d82"
+git-tree-sha1 = "3196f7408f7c6014dc4ed55260e6c5e1e01c58a3"
 uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
-version = "2.11.1"
+version = "2.12.0"
 
     [deps.LinearSolve.extensions]
     LinearSolveBandedMatricesExt = "BandedMatrices"