diff --git a/Manifest-v1.11.toml.default b/Manifest-v1.11.toml.default
index a8077902a..ba49f5295 100644
--- a/Manifest-v1.11.toml.default
+++ b/Manifest-v1.11.toml.default
@@ -2,7 +2,7 @@
 
 julia_version = "1.11.5"
 manifest_format = "2.0"
-project_hash = "f9f7424be55e7c582f860e66512280fdde05365c"
+project_hash = "ab60a0b07d23dfd1b8a1b279c886b9dafd54ced8"
 
 [[deps.ADTypes]]
 git-tree-sha1 = "e2478490447631aedba0823d4d7a80b2cc8cdb32"
@@ -396,9 +396,9 @@ version = "0.2.0+0"
 
 [[deps.DiffEqBase]]
 deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "FastPower", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "TruncatedStacktraces"]
-git-tree-sha1 = "1bcd3a5c585c477e5d0595937ea7b5adcda6c621"
+git-tree-sha1 = "2d87d7bd165c1ca0d11923a9fabe90a9d71e88a6"
 uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
-version = "6.174.0"
+version = "6.176.0"
 
     [deps.DiffEqBase.extensions]
     DiffEqBaseCUDAExt = "CUDA"
@@ -411,6 +411,7 @@ version = "6.174.0"
     DiffEqBaseMPIExt = "MPI"
     DiffEqBaseMeasurementsExt = "Measurements"
     DiffEqBaseMonteCarloMeasurementsExt = "MonteCarloMeasurements"
+    DiffEqBaseMooncakeExt = "Mooncake"
     DiffEqBaseReverseDiffExt = "ReverseDiff"
     DiffEqBaseSparseArraysExt = "SparseArrays"
     DiffEqBaseTrackerExt = "Tracker"
@@ -427,6 +428,7 @@ version = "6.174.0"
     MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
     Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
     MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
+    Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
     ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
     SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
     Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
@@ -613,9 +615,9 @@ uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
 version = "1.0.5"
 
 [[deps.EnzymeCore]]
-git-tree-sha1 = "7d7822a643c33bbff4eab9c87ca8459d7c688db0"
+git-tree-sha1 = "8272a687bca7b5c601c0c24fc0c71bff10aafdfd"
 uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
-version = "0.8.11"
+version = "0.8.12"
 weakdeps = ["Adapt"]
 
     [deps.EnzymeCore.extensions]
@@ -790,9 +792,9 @@ uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
 version = "0.1.5"
 
 [[deps.InlineStrings]]
-git-tree-sha1 = "6a9fde685a7ac1eb3495f8e812c5a7c3711c2d5e"
+git-tree-sha1 = "8594fac023c5ce1ef78260f24d1ad18b4327b420"
 uuid = "842dd82b-1e85-43dc-bf29-5d0ee9dffc48"
-version = "1.4.3"
+version = "1.4.4"
 weakdeps = ["ArrowTypes", "Parsers"]
 
     [deps.InlineStrings.extensions]
@@ -1247,9 +1249,9 @@ version = "4.9.0"
 
 [[deps.NonlinearSolveBase]]
 deps = ["ADTypes", "Adapt", "ArrayInterface", "CommonSolve", "Compat", "ConcreteStructs", "DifferentiationInterface", "EnzymeCore", "FastClosures", "LinearAlgebra", "Markdown", "MaybeInplace", "Preferences", "Printf", "RecursiveArrayTools", "SciMLBase", "SciMLJacobianOperators", "SciMLOperators", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
-git-tree-sha1 = "1a6f6b161a644beac3c46a46f9bbb830c24abffb"
+git-tree-sha1 = "404d71dd057759f4d590191a643113485c4a482a"
 uuid = "be0214bd-f91f-a760-ac4e-3421ce2b2da0"
-version = "1.8.0"
+version = "1.12.0"
 
     [deps.NonlinearSolveBase.extensions]
     NonlinearSolveBaseBandedMatricesExt = "BandedMatrices"
@@ -1277,9 +1279,9 @@ version = "1.5.0"
 
 [[deps.NonlinearSolveQuasiNewton]]
 deps = ["ArrayInterface", "CommonSolve", "ConcreteStructs", "DiffEqBase", "LinearAlgebra", "LinearSolve", "MaybeInplace", "NonlinearSolveBase", "PrecompileTools", "Reexport", "SciMLBase", "SciMLOperators", "StaticArraysCore"]
-git-tree-sha1 = "b69a68ef3a7bba7ab1d5ef6321ed6d9a613142b0"
+git-tree-sha1 = "e3888bdbab6e0bfadbc3164ef4595e40e7b7e954"
 uuid = "9a2c21bd-3a47-402d-9113-8faf9a0ee114"
-version = "1.5.0"
+version = "1.6.0"
 weakdeps = ["ForwardDiff"]
 
     [deps.NonlinearSolveQuasiNewton.extensions]
@@ -1633,10 +1635,10 @@ uuid = "94e857df-77ce-4151-89e5-788b33177be4"
 version = "0.1.0"
 
 [[deps.SciMLBase]]
-deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Moshi", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
-git-tree-sha1 = "2fd047893cb0089b180fcbb7e8434ba15dcc2841"
+deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "Moshi", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
+git-tree-sha1 = "04bbcdc8d1f7d6f667f75fbcc68728231e21fabe"
 uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
-version = "2.87.0"
+version = "2.101.0"
 
     [deps.SciMLBase.extensions]
     SciMLBaseChainRulesCoreExt = "ChainRulesCore"
@@ -1661,15 +1663,15 @@ version = "2.87.0"
 
 [[deps.SciMLJacobianOperators]]
 deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "ConstructionBase", "DifferentiationInterface", "FastClosures", "LinearAlgebra", "SciMLBase", "SciMLOperators"]
-git-tree-sha1 = "d563758f3ce5153810adebc534d88e24d34eeb95"
+git-tree-sha1 = "7da1216346ad79499d08d7e2a3dbf297dc80c829"
 uuid = "19f34311-ddf3-4b8b-af20-060888a46c0e"
-version = "0.1.5"
+version = "0.1.6"
 
 [[deps.SciMLOperators]]
 deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"]
-git-tree-sha1 = "1c4b7f6c3e14e6de0af66e66b86d525cae10ecb4"
+git-tree-sha1 = "3249fe77f322fe539e935ecb388c8290cd38a3fc"
 uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
-version = "0.3.13"
+version = "1.3.1"
 weakdeps = ["SparseArrays", "StaticArraysCore"]
 
     [deps.SciMLOperators.extensions]
diff --git a/Project.toml b/Project.toml
index d98f3d9d7..14d393d96 100644
--- a/Project.toml
+++ b/Project.toml
@@ -85,7 +85,7 @@ REPL = "1.10.0, 1.11.0"
 Reexport = "1.1, 1.2"
 Rotations = "1.7"
 SciMLBase = "2.82.1"
-SciMLOperators = "0.3.13"
+SciMLOperators = "0.3.13, 1"
 Serialization = "1.10, 1.11"
 StaticArrays = "1.9.7"
 Statistics = "1"