diff --git a/examples/svaerd_kalisch_1d/svaerd_kalisch_1d_basic_reflecting.jl b/examples/svaerd_kalisch_1d/svaerd_kalisch_1d_basic_reflecting.jl
index a6edb3dd..0590c419 100644
--- a/examples/svaerd_kalisch_1d/svaerd_kalisch_1d_basic_reflecting.jl
+++ b/examples/svaerd_kalisch_1d/svaerd_kalisch_1d_basic_reflecting.jl
@@ -42,5 +42,5 @@ analysis_callback = AnalysisCallback(semi; interval = 100,
 callbacks = CallbackSet(analysis_callback, summary_callback)
 
 saveat = range(tspan..., length = 100)
-sol = solve(ode, Tsit5(), abstol = 1e-12, reltol = 1e-12,
+sol = solve(ode, Tsit5(), abstol = 1e-7, reltol = 1e-7,
             save_everystep = false, callback = callbacks, saveat = saveat)
diff --git a/test/test_svaerd_kalisch_1d.jl b/test/test_svaerd_kalisch_1d.jl
index 9085eebc..ce64b389 100644
--- a/test/test_svaerd_kalisch_1d.jl
+++ b/test/test_svaerd_kalisch_1d.jl
@@ -24,6 +24,8 @@ end
 ] begin
     @test_trixi_include(joinpath(EXAMPLES_DIR, "svaerd_kalisch_1d_basic_reflecting.jl"),
                         tspan=(0.0, 1.0),
+                        abstol=1e-12,
+                        reltol=1e-12, # this example is relatively unstable with higher tolerances
                         l2=[5.402315494643131e-6 6.70558305594986e-8 0.0],
                         linf=[9.787585531206844e-5 1.460266869784954e-7 0.0],
                         cons_error=[1.0484871583691058e-9 0.5469460930247998 0.0],
@@ -42,6 +44,8 @@ end
     @test_trixi_include(joinpath(EXAMPLES_DIR, "svaerd_kalisch_1d_basic_reflecting.jl"),
                         tspan=(0.0, 1.0),
                         solver=solver,
+                        abstol=1e-12,
+                        reltol=1e-12, # this example is relatively unstable with higher tolerances
                         l2=[5.862278175937948e-6 4.11195454078554e-9 0.0],
                         linf=[3.135228725170691e-5 8.797787950237668e-8 0.0],
                         cons_error=[1.700425028441774e-9 0.5469460935005555 0.0],