diff --git a/docs/src/parallelization.md b/docs/src/parallelization.md
index dc5e2400dde..54b8b07b68d 100644
--- a/docs/src/parallelization.md
+++ b/docs/src/parallelization.md
@@ -25,7 +25,7 @@ the same time, the latter takes precedence.
 If you use time integration methods from
 [OrdinaryDiffEq.jl](https://github.com/SciML/OrdinaryDiffEq.jl)
 and want to use multiple threads therein, you need to set the keyword argument
-`thread = Trixi.True()` (or `thread = OrdinaryDiffEq.True()`)
+`thread = Trixi.Threaded()`
 of the algorithms, as described in the
 [section on time integration methods](@ref time-integration).
 
@@ -127,11 +127,11 @@ julia> HDF5.API.set_libraries!("/usr/lib/x86_64-linux-gnu/hdf5/openmpi/libhdf5.s
 ```
 After the preferences are set, restart the Julia REPL again.
 
-!!! note 
-    If multiple MPI installations are present on a system (as is typically the case on a cluster), calling 
-    `MPIPreferences.use_system_binary()` may lead to an undesired selection of the MPI implementation - 
-    make sure to check the `LocalPreferences.toml` in any case. 
-    You can also check at runtime of your Julia session the MPI configuration with 
+!!! note
+    If multiple MPI installations are present on a system (as is typically the case on a cluster), calling
+    `MPIPreferences.use_system_binary()` may lead to an undesired selection of the MPI implementation -
+    make sure to check the `LocalPreferences.toml` in any case.
+    You can also check at runtime of your Julia session the MPI configuration with
     `using MPI; MPI.versioninfo()`.
 
 ### [Usage](@id parallel_usage)
@@ -251,14 +251,14 @@ julia> using HDF5
 julia> HDF5.API.set_libraries!("/path/to/your/libhdf5.so", "/path/to/your/libhdf5_hl.so")
 ```
 For more information see also the
-[documentation of HDF5.jl](https://juliaio.github.io/HDF5.jl/stable/mpi/). 
+[documentation of HDF5.jl](https://juliaio.github.io/HDF5.jl/stable/mpi/).
 
-To install the MPI-enabled `HDF5` library, i.e., the `libhdf5.so` and `libhdf5_hl.so` files, 
+To install the MPI-enabled `HDF5` library, i.e., the `libhdf5.so` and `libhdf5_hl.so` files,
 there are two options.
-First, there might be a package available from the package manager, e.g., `libhdf5-openmpi-dev` for 
-`OpenMPI` or `libhdf5-mpich-dev` for `MPICH`. 
+First, there might be a package available from the package manager, e.g., `libhdf5-openmpi-dev` for
+`OpenMPI` or `libhdf5-mpich-dev` for `MPICH`.
 On `Ubuntu`, you find a list of available `libhdf5-` packages [here](https://packages.ubuntu.com/search?keywords=libhdf5-&searchon=names&suite=all&section=all).
-For other Linux distributions you can consult the package manager of your distribution or the third-party webpage https://pkgs.org/. 
+For other Linux distributions you can consult the package manager of your distribution or the third-party webpage https://pkgs.org/.
 
 The second option is to manually build the library on your system.
 To do so, download the latest release from the [HDF5 download page](https://www.hdfgroup.org/download-hdf5/source-code/).
diff --git a/docs/src/time_integration.md b/docs/src/time_integration.md
index 9ab753de205..bce37778e71 100644
--- a/docs/src/time_integration.md
+++ b/docs/src/time_integration.md
@@ -30,9 +30,9 @@ are the following. Further documentation can be found in the
   from Trixi.jl.
 - If you start Julia with multiple threads and want to use them also in the time
   integration method from OrdinaryDiffEq.jl, you need to pass the keyword argument
-  `thread = Trixi.True()` (or `thread = OrdinaryDiffEq.True()`) to the algorithm, e.g.,
-  `RDPK3SpFSAL49(thread = Trixi.True())` or
-  `CarpenterKennedy2N54(thread = Trixi.True(), williamson_condition = false)`.
+  `thread = Trixi.Threaded()` to the algorithm, e.g.,
+  `RDPK3SpFSAL49(thread = Trixi.Threaded())` or
+  `CarpenterKennedy2N54(thread = Trixi.Threaded(), williamson_condition = false)`.
   For more information on using thread-based parallelism in Trixi.jl, please refer to
   [Shared-memory parallelization with threads](@ref).
 - If you use error-based step size control (see also the section on
diff --git a/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl b/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
index 94db4ecda09..067490f5da9 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
@@ -140,6 +140,6 @@ callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback,
 
 ###############################################################################
 # run the simulation
-sol = solve(ode, SSPRK54(thread = Trixi.True());
+sol = solve(ode, SSPRK54(thread = Trixi.Threaded());
             dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_NACA6412airfoil_mach2.jl b/examples/p4est_2d_dgsem/elixir_euler_NACA6412airfoil_mach2.jl
index 8f9a43ca795..2754d8ec364 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_NACA6412airfoil_mach2.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_NACA6412airfoil_mach2.jl
@@ -103,7 +103,7 @@ callbacks = CallbackSet(summary_callback,
 
 # Run the simulation
 ###############################################################################
-sol = solve(ode, SSPRK104(; thread = Trixi.True());
+sol = solve(ode, SSPRK104(; thread = Trixi.Threaded());
             dt = 1.0, # overwritten by the `stepsize_callback`
             ode_default_options()...,
             callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_cylinder_bowshock_mach3.jl b/examples/p4est_2d_dgsem/elixir_euler_cylinder_bowshock_mach3.jl
index 4673700114c..025b06a3c45 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_cylinder_bowshock_mach3.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_cylinder_bowshock_mach3.jl
@@ -181,6 +181,6 @@ stage_limiter! = PositivityPreservingLimiterZhangShu(thresholds = (5.0e-6, 5.0e-
 ###############################################################################
 # Run the simulation
 
-sol = solve(ode, SSPRK33(; stage_limiter! = stage_limiter!, thread = Trixi.True());
+sol = solve(ode, SSPRK33(; stage_limiter! = stage_limiter!, thread = Trixi.Threaded());
             dt = 1.6e-5, # Fixed timestep works decent here
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_double_mach_amr_adaptive_vol_int.jl b/examples/p4est_2d_dgsem/elixir_euler_double_mach_amr_adaptive_vol_int.jl
index 324a0630b21..0862769e8c3 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_double_mach_amr_adaptive_vol_int.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_double_mach_amr_adaptive_vol_int.jl
@@ -167,6 +167,6 @@ stage_limiter! = PositivityPreservingLimiterZhangShu(thresholds = (5.0e-6, 5.0e-
 
 ###############################################################################
 # run the simulation
-sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.True());
+sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.Threaded());
             dt = 5e-7, # Reducing initial timestep allows AMR interval of 2 instead of 1
             adaptive = true, ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_rayleigh_taylor_instability.jl b/examples/p4est_2d_dgsem/elixir_euler_rayleigh_taylor_instability.jl
index 8a5f04c414a..fc21482f1b2 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_rayleigh_taylor_instability.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_rayleigh_taylor_instability.jl
@@ -159,7 +159,7 @@ callbacks = CallbackSet(summary_callback,
 # run the simulation
 
 time_int_tol = 1e-6
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = time_int_tol, reltol = time_int_tol,
             adaptive = true, dt = 1e-3, # needed only for tests/CI
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_subsonic_cylinder.jl b/examples/p4est_2d_dgsem/elixir_euler_subsonic_cylinder.jl
index 331404eb21b..c9ec66b047a 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_subsonic_cylinder.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_subsonic_cylinder.jl
@@ -126,6 +126,6 @@ callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback, sav
 # run the simulation
 sol = solve(ode,
             CarpenterKennedy2N54(williamson_condition = false;
-                                 thread = Trixi.True());
+                                 thread = Trixi.Threaded());
             dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_euler_supersonic_cylinder_scO2.jl b/examples/p4est_2d_dgsem/elixir_euler_supersonic_cylinder_scO2.jl
index 867c2868209..ae6b2918810 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_supersonic_cylinder_scO2.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_supersonic_cylinder_scO2.jl
@@ -133,6 +133,6 @@ stage_limiter! = PositivityPreservingLimiterZhangShu(thresholds = (5.0e-7, 1.0e-
 # We supply a small initial timestep to be able to use a larger AMR interval (3 instead of 1) throughout the simulation.
 # This pays off almost immediately as only the first couple timesteps use this timestep before it is ramped up.
 dt0 = 1e-8
-sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.True());
+sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.Threaded());
             adaptive = true, dt = dt0,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_mhd_rotor_cfl_ramp.jl b/examples/p4est_2d_dgsem/elixir_mhd_rotor_cfl_ramp.jl
index f7673eabf03..8c0482d61a7 100644
--- a/examples/p4est_2d_dgsem/elixir_mhd_rotor_cfl_ramp.jl
+++ b/examples/p4est_2d_dgsem/elixir_mhd_rotor_cfl_ramp.jl
@@ -141,7 +141,7 @@ callbacks = CallbackSet(summary_callback,
 # run the simulation
 
 sol = solve(ode,
-            CarpenterKennedy2N54(thread = Trixi.True(),
+            CarpenterKennedy2N54(thread = Trixi.Threaded(),
                                  williamson_condition = false);
             dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
index a86d8f2958c..05f547a7056 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
@@ -173,6 +173,6 @@ callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback, sav
 ###############################################################################
 # run the simulation
 
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = 1e-8, reltol = 1e-8,
             ode_default_options()..., callback = callbacks)
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach085_restart.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach085_restart.jl
index d1dca6b2993..4c9f579e2b5 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach085_restart.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach085_restart.jl
@@ -83,6 +83,6 @@ callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback,
 
 ###############################################################################
 
-sol = solve(ode, SSPRK54(thread = Trixi.True());
+sol = solve(ode, SSPRK54(thread = Trixi.Threaded());
             dt = dt_restart,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_RAE2822airfoil_separation.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_RAE2822airfoil_separation.jl
index 5a0f14e543d..394e7e529c0 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_RAE2822airfoil_separation.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_RAE2822airfoil_separation.jl
@@ -128,7 +128,7 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 # run the simulation
 
-ode_algorithm = SSPRK43(thread = Trixi.True())
+ode_algorithm = SSPRK43(thread = Trixi.Threaded())
 
 time_int_tol = 1e-4
 sol = solve(ode, ode_algorithm;
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_SD7003airfoil.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_SD7003airfoil.jl
index 66f94fa1944..cdc54cf4877 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_SD7003airfoil.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_SD7003airfoil.jl
@@ -146,5 +146,5 @@ callbacks = CallbackSet(summary_callback,
 
 sol = solve(ode,
             CarpenterKennedy2N54(williamson_condition = false,
-                                 thread = Trixi.True());
+                                 thread = Trixi.Threaded());
             dt = 1.0, ode_default_options()..., callback = callbacks)
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_vortex_street.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_vortex_street.jl
index 932926770e9..51605d37e5e 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_vortex_street.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_vortex_street.jl
@@ -158,7 +158,7 @@ callbacks = CallbackSet(summary_callback,
 # run the simulation
 
 # Moderate number of threads (e.g. 4) advisable to speed things up
-ode_alg = RDPK3SpFSAL49(thread = Trixi.True())
+ode_alg = RDPK3SpFSAL49(thread = Trixi.Threaded())
 time_int_tol = 1e-7
 sol = solve(ode, ode_alg;
             # not necessary, added for overwriting in tests
diff --git a/examples/p4est_3d_dgsem/elixir_euler_baroclinic_instability.jl b/examples/p4est_3d_dgsem/elixir_euler_baroclinic_instability.jl
index daa758d1f9b..f92119a2adb 100644
--- a/examples/p4est_3d_dgsem/elixir_euler_baroclinic_instability.jl
+++ b/examples/p4est_3d_dgsem/elixir_euler_baroclinic_instability.jl
@@ -294,6 +294,6 @@ callbacks = CallbackSet(summary_callback,
 
 # Use a Runge-Kutta method with automatic (error based) time step size control
 # Enable threading of the RK method for better performance on multiple threads
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = 1.0e-6, reltol = 1.0e-6,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_3d_dgsem/elixir_euler_circular_wind_nonconforming.jl b/examples/p4est_3d_dgsem/elixir_euler_circular_wind_nonconforming.jl
index ed93bae6e8c..ccb43801045 100644
--- a/examples/p4est_3d_dgsem/elixir_euler_circular_wind_nonconforming.jl
+++ b/examples/p4est_3d_dgsem/elixir_euler_circular_wind_nonconforming.jl
@@ -157,6 +157,6 @@ callbacks = CallbackSet(summary_callback,
 
 # Use a Runge-Kutta method with automatic (error based) time step size control
 # Enable threading of the RK method for better performance on multiple threads
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = 1.0e-6, reltol = 1.0e-6,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_3d_dgsem/elixir_euler_tandem_spheres.jl b/examples/p4est_3d_dgsem/elixir_euler_tandem_spheres.jl
index 60f800e7f62..781e3f39068 100644
--- a/examples/p4est_3d_dgsem/elixir_euler_tandem_spheres.jl
+++ b/examples/p4est_3d_dgsem/elixir_euler_tandem_spheres.jl
@@ -101,6 +101,6 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 
 tols = 1e-5
-sol = solve(ode, RDPK3SpFSAL35(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL35(thread = Trixi.Threaded());
             abstol = tols, reltol = tols,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/p4est_3d_dgsem/elixir_navierstokes_blast_wave_amr.jl b/examples/p4est_3d_dgsem/elixir_navierstokes_blast_wave_amr.jl
index 2c3b563df00..76a0fa8c470 100644
--- a/examples/p4est_3d_dgsem/elixir_navierstokes_blast_wave_amr.jl
+++ b/examples/p4est_3d_dgsem/elixir_navierstokes_blast_wave_amr.jl
@@ -109,6 +109,6 @@ callbacks = CallbackSet(summary_callback,
 # run the simulation
 
 time_int_tol = 1e-8
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = time_int_tol, reltol = time_int_tol,
             ode_default_options()..., callback = callbacks)
diff --git a/examples/t8code_3d_dgsem/elixir_euler_baroclinic_instability.jl b/examples/t8code_3d_dgsem/elixir_euler_baroclinic_instability.jl
index 1e2cc40f092..46120c58a4d 100644
--- a/examples/t8code_3d_dgsem/elixir_euler_baroclinic_instability.jl
+++ b/examples/t8code_3d_dgsem/elixir_euler_baroclinic_instability.jl
@@ -294,6 +294,6 @@ callbacks = CallbackSet(summary_callback,
 
 # Use a Runge-Kutta method with automatic (error based) time step size control
 # Enable threading of the RK method for better performance on multiple threads
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True());
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded());
             abstol = 1.0e-6, reltol = 1.0e-6,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/tree_1d_dgsem/elixir_euler_density_wave_adaptive_vol_int.jl b/examples/tree_1d_dgsem/elixir_euler_density_wave_adaptive_vol_int.jl
index 309a36b0577..9f201eddd2d 100644
--- a/examples/tree_1d_dgsem/elixir_euler_density_wave_adaptive_vol_int.jl
+++ b/examples/tree_1d_dgsem/elixir_euler_density_wave_adaptive_vol_int.jl
@@ -26,7 +26,7 @@ volume_integral_fluxdiff = VolumeIntegralFluxDifferencing(volume_flux)
 # `volume_integral_stabilized` is used instead of the `volume_integral_default`.
 indicator = IndicatorEntropyChange(maximum_entropy_increase = 0.0)
 
-# Adaptive volume integral using the entropy production comparison indicator to perform the 
+# Adaptive volume integral using the entropy production comparison indicator to perform the
 # stabilized/EC volume integral when needed and keeping the weak form if it is more diffusive.
 volume_integral = VolumeIntegralAdaptive(volume_integral_default = volume_integral_weakform,
                                          volume_integral_stabilized = volume_integral_fluxdiff,
@@ -67,6 +67,7 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 # run the simulation
 
-sol = solve(ode, CarpenterKennedy2N54(williamson_condition = false, thread = Trixi.True());
+sol = solve(ode,
+            CarpenterKennedy2N54(williamson_condition = false, thread = Trixi.Threaded());
             dt = stepsize_callback(ode),
             ode_default_options()..., callback = callbacks);
diff --git a/examples/tree_2d_dgsem/elixir_euler_astro_jet_amr_scO2.jl b/examples/tree_2d_dgsem/elixir_euler_astro_jet_amr_scO2.jl
index a9f0c2d0e28..829d8541ef9 100644
--- a/examples/tree_2d_dgsem/elixir_euler_astro_jet_amr_scO2.jl
+++ b/examples/tree_2d_dgsem/elixir_euler_astro_jet_amr_scO2.jl
@@ -106,6 +106,6 @@ stage_limiter! = PositivityPreservingLimiterZhangShu(thresholds = (5.0e-6, 5.0e-
 # run the simulation
 
 # use adaptive time stepping based on error estimates
-sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.True());
+sol = solve(ode, SSPRK43(; stage_limiter! = stage_limiter!, thread = Trixi.Threaded());
             controller = PIDController(0.55, -0.27, 0.05),
             ode_default_options()..., callback = callbacks);
diff --git a/examples/tree_3d_dgsem/elixir_euler_sedov_blast_weak_form_sc.jl b/examples/tree_3d_dgsem/elixir_euler_sedov_blast_weak_form_sc.jl
index d8d5367160b..d45e0bf64c1 100644
--- a/examples/tree_3d_dgsem/elixir_euler_sedov_blast_weak_form_sc.jl
+++ b/examples/tree_3d_dgsem/elixir_euler_sedov_blast_weak_form_sc.jl
@@ -117,6 +117,6 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 # run the simulation
 
-sol = solve(ode, SSPRK54(thread = Trixi.True());
+sol = solve(ode, SSPRK54(thread = Trixi.Threaded());
             dt = 1.0, # solve needs some value here but it will be overwritten by the stepsize_callback
             ode_default_options()..., callback = callbacks);
diff --git a/examples/tree_3d_dgsem/elixir_euler_sedov_scO2.jl b/examples/tree_3d_dgsem/elixir_euler_sedov_scO2.jl
index bb515a5c175..8946e6f61eb 100644
--- a/examples/tree_3d_dgsem/elixir_euler_sedov_scO2.jl
+++ b/examples/tree_3d_dgsem/elixir_euler_sedov_scO2.jl
@@ -100,5 +100,5 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 # run the simulation
 
-sol = solve(ode, SSPRK54(thread = Trixi.True()); dt = 1.0,
+sol = solve(ode, SSPRK54(thread = Trixi.Threaded()); dt = 1.0,
             ode_default_options()..., callback = callbacks);
diff --git a/examples/tree_3d_dgsem/elixir_navierstokes_taylor_green_vortex_adaptive_vol_int.jl b/examples/tree_3d_dgsem/elixir_navierstokes_taylor_green_vortex_adaptive_vol_int.jl
index 79c0ca15b73..08692a20a43 100644
--- a/examples/tree_3d_dgsem/elixir_navierstokes_taylor_green_vortex_adaptive_vol_int.jl
+++ b/examples/tree_3d_dgsem/elixir_navierstokes_taylor_green_vortex_adaptive_vol_int.jl
@@ -99,5 +99,5 @@ callbacks = CallbackSet(summary_callback,
 ###############################################################################
 # run the simulation
 
-sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.True()); adaptive = true,
+sol = solve(ode, RDPK3SpFSAL49(thread = Trixi.Threaded()); adaptive = true,
             ode_default_options()..., callback = callbacks)
diff --git a/src/Trixi.jl b/src/Trixi.jl
index ac57e30845c..a35879d0a1c 100644
--- a/src/Trixi.jl
+++ b/src/Trixi.jl
@@ -87,6 +87,8 @@ using T8code
 using RecipesBase: RecipesBase
 using RecursiveArrayTools: VectorOfArray
 using Static: Static, One, True, False
+# OrdinaryDiffEq v7+ uses FastBroadcast.Threaded() for the thread argument; older versions use Static.True()
+const Threaded = isdefined(DiffEqBase, :Threaded) ? DiffEqBase.Threaded : True
 @reexport using StaticArrays: SVector
 using StaticArrays: StaticArrays, MVector, MArray, SMatrix, @SMatrix
 using StrideArrays: PtrArray, StrideArray, StaticInt
diff --git a/test/test_threaded.jl b/test/test_threaded.jl
index d32d3a41196..2b95a25ca79 100644
--- a/test/test_threaded.jl
+++ b/test/test_threaded.jl
@@ -44,7 +44,7 @@ Trixi.MPI.Barrier(Trixi.mpi_comm())
         @test_trixi_include(joinpath(EXAMPLES_DIR, "tree_2d_dgsem",
                                      "elixir_advection_restart.jl"),
                             alg=CarpenterKennedy2N54(williamson_condition = false,
-                                                     thread = Trixi.True()),
+                                                     thread = Trixi.Threaded()),
                             # Expected errors are exactly the same as in the serial test!
                             l2=[8.005068880114254e-6],
                             linf=[6.39093577996519e-5])
@@ -148,7 +148,7 @@ Trixi.MPI.Barrier(Trixi.mpi_comm())
         @test_trixi_include(joinpath(EXAMPLES_DIR, "tree_2d_dgsem",
                                      "elixir_advection_diffusion.jl"),
                             initial_refinement_level=2, tspan=(0.0, 0.4), polydeg=5,
-                            alg=RDPK3SpFSAL49(thread = Trixi.True()),
+                            alg=RDPK3SpFSAL49(thread = Trixi.Threaded()),
                             l2=[4.0915532997994255e-6],
                             linf=[2.3040850347877395e-5])
 
@@ -363,7 +363,7 @@ end
     @trixi_testset "elixir_euler_curved.jl with threaded time integration" begin
         @test_trixi_include(joinpath(EXAMPLES_DIR, "dgmulti_2d",
                                      "elixir_euler_curved.jl"),
-                            alg=RDPK3SpFSAL49(thread = Trixi.True()),
+                            alg=RDPK3SpFSAL49(thread = Trixi.Threaded()),
                             l2=[
                                 1.720916434676505e-5,
                                 1.5928649356300228e-5,