diff --git a/examples/paper_self_gravitating_gas_dynamics/elixir_eulergravity_jeans_instability.jl b/examples/paper_self_gravitating_gas_dynamics/elixir_eulergravity_jeans_instability.jl
index 7461198fbb..22e1d1f3d8 100644
--- a/examples/paper_self_gravitating_gas_dynamics/elixir_eulergravity_jeans_instability.jl
+++ b/examples/paper_self_gravitating_gas_dynamics/elixir_eulergravity_jeans_instability.jl
@@ -91,7 +91,7 @@ semi_gravity = SemidiscretizationHyperbolic(mesh, equations_gravity, initial_con
 # combining both semidiscretizations for Euler + self-gravity
 parameters = ParametersEulerGravity(background_density = 1.5e7, # aka rho0
                                     gravitational_constant = 6.674e-8, # aka G
-                                    cfl = 1.6,
+                                    cfl = 0.8, # value as used in the paper
                                     resid_tol = 1.0e-4,
                                     n_iterations_max = 1000,
                                     timestep_gravity = timestep_gravity_carpenter_kennedy_erk54_2N!)
@@ -105,7 +105,7 @@ ode = semidiscretize(semi, tspan);
 
 summary_callback = SummaryCallback()
 
-stepsize_callback = StepsizeCallback(cfl = 1.0)
+stepsize_callback = StepsizeCallback(cfl = 0.5) # value as used in the paper
 
 save_solution = SaveSolutionCallback(interval = 10,
                                      save_initial_solution = true,
diff --git a/test/test_paper_self_gravitating_gas_dynamics.jl b/test/test_paper_self_gravitating_gas_dynamics.jl
index 63a7a2b6de..1e097efd51 100644
--- a/test/test_paper_self_gravitating_gas_dynamics.jl
+++ b/test/test_paper_self_gravitating_gas_dynamics.jl
@@ -215,16 +215,16 @@ end
     @test_trixi_include(joinpath(EXAMPLES_DIR,
                                  "elixir_eulergravity_jeans_instability.jl"),
                         l2=[
-                            10733.63378538114,
-                            13356.780607423452,
+                            10733.28239179182,
+                            13356.0533511341,
                             1.6722844879795038e-6,
-                            26834.076821148774
+                            26833.19833691448
                         ],
                         linf=[
-                            15194.296424901113,
-                            18881.481685044182,
+                            15193.794080890715,
+                            18880.45819785685,
                             6.809726988008751e-6,
-                            37972.99700513482
+                            37971.74113135785
                         ],
                         tspan=(0.0, 0.1),
                         atol=4.0e-6)
@@ -242,16 +242,16 @@ end
     @test_trixi_include(joinpath(EXAMPLES_DIR,
                                  "elixir_eulergravity_jeans_instability.jl"),
                         l2=[
-                            10734.598193238024,
-                            13358.217234481384,
+                            10734.653995035567,
+                            13357.709699808021,
                             1.911011743371934e-6,
-                            26836.487841241516
+                            26836.62734552835
                         ],
                         linf=[
-                            15195.661004798487,
-                            18883.512035906537,
+                            15195.73481107317,
+                            18882.799120551972,
                             7.867948710816926e-6,
-                            37976.408478975296
+                            37976.592992473394
                         ],
                         tspan=(0.0, 0.1),
                         atol=4.0e-6, # the background field is reatively large, so this corresponds to our usual atol