diff --git a/Project.toml b/Project.toml
index d9612cb131f..e8c0013c9a6 100644
--- a/Project.toml
+++ b/Project.toml
@@ -69,28 +69,28 @@ TrixiNLsolveExt = "NLsolve"
 TrixiSparseConnectivityTracerExt = "SparseConnectivityTracer"
 
 [compat]
-Accessors = "0.1.36"
-Adapt = "4.1"
+Accessors = "0.1.42"
+Adapt = "4.3"
 CUDA = "5.8.2"
 CodeTracking = "1.0.5, 2, 3"
 ConstructionBase = "1.5.8"
 Convex = "0.16"
-DataStructures = "0.18.15, 0.19"
+DataStructures = "0.19"
 DelimitedFiles = "1"
-DiffEqBase = "6.174"
-DiffEqCallbacks = "2.35, 3, 4"
+DiffEqBase = "6.194"
+DiffEqCallbacks = "4.9"
 Downloads = "1.6"
 ECOS = "1.1.2"
 EllipsisNotation = "1.0"
-FillArrays = "1.9"
-ForwardDiff = "0.10.36, 1"
+FillArrays = "1.13"
+ForwardDiff = "0.10.38, 1"
 HDF5 = "0.17"
 KernelAbstractions = "0.9.36"
 LinearAlgebra = "1"
 LinearMaps = "2.7, 3.0"
 LoopVectorization = "0.12.171"
 MPI = "0.20.22"
-Makie = "0.21, 0.22, 0.23, 0.24"
+Makie = "0.22, 0.23, 0.24"
 MuladdMacro = "0.2.4"
 NLsolve = "4.5.1"
 Octavian = "0.3.28"
@@ -98,24 +98,24 @@ OffsetArrays = "1.13"
 P4est = "0.4.12"
 Polyester = "=0.7.16, 0.7.18"
 PrecompileTools = "1.2.1"
-Preferences = "1.4.3"
+Preferences = "1.5"
 Printf = "1"
 RecipesBase = "1.3.4"
-RecursiveArrayTools = "3.31.1"
+RecursiveArrayTools = "3.37"
 Reexport = "1.2.2"
 Requires = "1.3"
-SciMLBase = "2.92.0"
+SciMLBase = "2.141.0"
 SimpleUnPack = "1.1"
 SparseArrays = "1"
 SparseConnectivityTracer = "1.0.1"
 StableRNGs = "1.0.2"
 StartUpDG = "1.1.5"
-Static = "1.1.1"
-StaticArrayInterface = "1.5.1"
+Static = "1.3"
+StaticArrayInterface = "1.8"
 StaticArrays = "1.9.8"
 StrideArrays = "0.1.29"
-StructArrays = "0.6.20, 0.7"
-SummationByPartsOperators = "0.5.52"
+StructArrays = "0.7"
+SummationByPartsOperators = "0.5.72"
 T8code = "0.7.4"
 TimerOutputs = "0.5.25"
 Triangulate = "2.2, 3"
diff --git a/test/Project.toml b/test/Project.toml
index 48e1efa86ee..d9cfc69117a 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -20,6 +20,7 @@ MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
 NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
 OrdinaryDiffEqBDF = "6ad6398a-0878-4a85-9266-38940aa047c8"
 OrdinaryDiffEqCore = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
+OrdinaryDiffEqDifferentiation = "4302a76b-040a-498a-8c04-15b101fed76b"
 OrdinaryDiffEqFeagin = "101fe9f7-ebb6-4678-b671-3a81e7194747"
 OrdinaryDiffEqHighOrderRK = "d28bc4f8-55e1-4f49-af69-84c1a99f0f58"
 OrdinaryDiffEqLowOrderRK = "1344f307-1e59-4825-a18e-ace9aa3fa4c6"
@@ -42,12 +43,12 @@ Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 TrixiTest = "0a316866-cbd0-4425-8bcb-08103b2c1f26"
 
 [compat]
-Accessors = "0.1.36"
-ADTypes = "1.14"
-Adapt = "4.1"
+Accessors = "0.1.42"
+ADTypes = "1.16"
+Adapt = "4.3"
 Aqua = "0.8"
 CUDA = "5.8.2"
-CairoMakie = "0.12, 0.13, 0.14, 0.15"
+CairoMakie = "0.13, 0.14, 0.15"
 Convex = "0.16"
 DelimitedFiles = "1"
 DoubleFloats = "1.4.0"
@@ -55,28 +56,29 @@ Downloads = "1"
 ECOS = "1.1.2"
 ExplicitImports = "1.0.1"
 FiniteDiff = "2.27.0"
-ForwardDiff = "0.10.36, 1"
+ForwardDiff = "0.10.38, 1"
 Krylov = "0.10"
 LinearAlgebra = "1"
-LinearSolve = "3.13"
+LinearSolve = "3.54"
 MPI = "0.20.22"
 NLsolve = "4.5.1"
-OrdinaryDiffEqBDF = "1.1"
-OrdinaryDiffEqCore = "1.26, 2, 3"
-OrdinaryDiffEqFeagin = "1"
-OrdinaryDiffEqHighOrderRK = "1.1"
-OrdinaryDiffEqLowOrderRK = "1.2"
-OrdinaryDiffEqLowStorageRK = "1.2"
-OrdinaryDiffEqSDIRK = "1.1"
-OrdinaryDiffEqSSPRK = "1.2"
-OrdinaryDiffEqStabilizedRK = "1.3"
-OrdinaryDiffEqTsit5 = "1.1"
-Plots = "1.38.9"
+OrdinaryDiffEqBDF = "1.15"
+OrdinaryDiffEqCore = "3.8"
+OrdinaryDiffEqDifferentiation = "2"
+OrdinaryDiffEqFeagin = "1.8"
+OrdinaryDiffEqHighOrderRK = "1.9"
+OrdinaryDiffEqLowOrderRK = "1.10"
+OrdinaryDiffEqLowStorageRK = "1.11"
+OrdinaryDiffEqSDIRK = "1.12"
+OrdinaryDiffEqSSPRK = "1.11"
+OrdinaryDiffEqStabilizedRK = "1.8"
+OrdinaryDiffEqTsit5 = "1.9"
+Plots = "1.38.13"
 Printf = "1"
 Quadmath = "0.5.10"
 Random = "1"
-SciMLBase = "2.92.0"
-SciMLOperators = "1"
+SciMLBase = "2.141"
+SciMLOperators = "1.15"
 SparseArrays = "1"
 SparseConnectivityTracer = "1.0.1"
 SparseMatrixColorings = "0.4.21"