diff --git a/Project.toml b/Project.toml
index 2edabcd4872..3f73c968f13 100644
--- a/Project.toml
+++ b/Project.toml
@@ -79,14 +79,14 @@ CUDA = "5.9.1"
 CodeTracking = "1.0.5, 2, 3"
 ConstructionBase = "1.5.8"
 Convex = "0.16"
-DataStructures = "0.19"
+DataStructures = "0.18.15, 0.19"
 DelimitedFiles = "1"
-DiffEqBase = "6.194"
-DiffEqCallbacks = "4.9"
+DiffEqBase = "6.184"
+DiffEqCallbacks = "2.35, 3, 4"
 Downloads = "1.6"
 ECOS = "1.1.2"
 EllipsisNotation = "1.0"
-FillArrays = "1.13"
+FillArrays = "1.9"
 ForwardDiff = "0.10.38, 1"
 HDF5 = "0.17"
 KernelAbstractions = "0.9.38"
@@ -108,14 +108,14 @@ Printf = "1"
 RecipesBase = "1.3.4"
 RecursiveArrayTools = "3.37"
 Reexport = "1.2.2"
-SciMLBase = "2.141.0"
+SciMLBase = "2.128"
 SimpleUnPack = "1.1"
 SparseArrays = "1"
 SparseConnectivityTracer = "1.0.1"
 StableRNGs = "1.0.2"
 StartUpDG = "1.1.5"
-Static = "1.3"
-StaticArrayInterface = "1.8"
+Static = "1.1.1"
+StaticArrayInterface = "1.5.1"
 StaticArrays = "1.9.8"
 StrideArrays = "0.1.29"
 StructArrays = "0.7"
diff --git a/examples/tree_2d_dgsem/elixir_advection_implicit_sparse_jacobian.jl b/examples/tree_2d_dgsem/elixir_advection_implicit_sparse_jacobian.jl
index 710bcfc66df..5b568f1b83b 100644
--- a/examples/tree_2d_dgsem/elixir_advection_implicit_sparse_jacobian.jl
+++ b/examples/tree_2d_dgsem/elixir_advection_implicit_sparse_jacobian.jl
@@ -1,7 +1,7 @@
 using Trixi
 using SparseConnectivityTracer # For obtaining the Jacobian sparsity pattern
 using SparseMatrixColorings # For obtaining the coloring vector
-using OrdinaryDiffEqSDIRK, OrdinaryDiffEqDifferentiation
+using OrdinaryDiffEqSDIRK
 using ADTypes
 
 ###############################################################################
diff --git a/test/Project.toml b/test/Project.toml
index 1b2f8c34a60..a67b81ba3b7 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -21,7 +21,6 @@ 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"
@@ -45,7 +44,7 @@ TrixiTest = "0a316866-cbd0-4425-8bcb-08103b2c1f26"
 
 [compat]
 Accessors = "0.1.42"
-ADTypes = "1.16"
+ADTypes = "1.14"
 AMDGPU = "2.2.1"
 Adapt = "4.4"
 Aqua = "0.8"
@@ -64,23 +63,22 @@ LinearAlgebra = "1"
 LinearSolve = "3.54"
 MPI = "0.20.23"
 NLsolve = "4.5.1"
-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"
+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 = "1.38.13"
 Printf = "1"
 Quadmath = "0.5.10"
 Random = "1"
-SciMLBase = "2.141"
-SciMLOperators = "1.15"
+SciMLBase = "2.128"
+SciMLOperators = "1.13"
 SparseArrays = "1"
 SparseConnectivityTracer = "1.0.1"
 SparseMatrixColorings = "0.4.21"