fix typo and hyperlinks in docs (trixi-framework#1401)

docs/src/time_integration.md

@@ -30,11 +30,11 @@ are the following. Further documentation can be found in the
   `CarpenterKennedy2N54(thread=OrdinaryDiffEq.True(), 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 see also the section on
-  [error-based adaptive step sizes](https://trixi-framework.github.io/Trixi.jl/stable/tutorials/time_stepping/#Error-based-adaptive-step-sizes))
-  together with MPI, you need to pass `internalnorm=ode_norm` and you should pass
-  `unstable_check=ode_unstable_check` to OrdinaryDiffEq's [`solve`](https://docs.sciml.ai/DiffEqDocs/latest/basics/common_solver_opts/),
-  which are both included in [`ode_default_options`](@ref).
+- If you use error-based step size control (see also the section on
+  [error-based adaptive step sizes](@ref adaptive_step_sizes) together with MPI, you need to
+  pass `internalnorm=ode_norm` and you should pass `unstable_check=ode_unstable_check` to
+  OrdinaryDiffEq's [`solve`](https://docs.sciml.ai/DiffEqDocs/latest/basics/common_solver_opts/), which are both
+  included in [`ode_default_options`](@ref).
 
 !!! note "Number of `rhs!` calls"
     If you use explicit Runge-Kutta methods from [OrdinaryDiffEq.jl](https://github.com/SciML/OrdinaryDiffEq.jl),

src/auxiliary/mpi.jl

@@ -87,7 +87,7 @@ You must pass this function as a keyword argument
 to OrdinaryDiffEq.jl's `solve` when using error-based step size control with MPI
 parallel execution of Trixi.jl.
 
-See [`https://diffeq.sciml.ai/stable/basics/common_solver_opts/#advanced_adaptive_stepsize_control`](https://diffeq.sciml.ai/stable/basics/common_solver_opts/#advanced_adaptive_stepsize_control)
+See the "Advanced Adaptive Stepsize Control" section of the [documentation](https://docs.sciml.ai/DiffEqDocs/stable/basics/common_solver_opts/)
 """
 ode_norm(u::Number, t) = @fastmath abs(u)
 function ode_norm(u::AbstractArray, t)
@@ -137,6 +137,6 @@ You should pass this function as a keyword argument
 to OrdinaryDiffEq.jl's  `solve` when using error-based step size control with MPI
 parallel execution of Trixi.jl.
 
-See [`https://diffeq.sciml.ai/stable/basics/common_solver_opts/#Miscellaneous`](https://diffeq.sciml.ai/stable/basics/common_solver_opts/#Miscellaneous)
+See the "Miscellaneous" section of the [documentation](https://docs.sciml.ai/DiffEqDocs/stable/basics/common_solver_opts/)
 """
 ode_unstable_check(dt, u, semi, t) = isnan(dt)

src/auxiliary/special_elixirs.jl

@@ -20,7 +20,7 @@ providing examples with sensible default values for users.
 
 Before replacing assignments in `elixir`, the keyword argument `maxiters` is inserted
 into calls to `solve` and `Trixi.solve` with it's default value used in the SciML ecosystem
-for ODEs, see https://diffeq.sciml.ai/stable/basics/common_solver_opts/#Miscellaneous.
+for ODEs, see the "Miscellaneous" section of the [documentation](https://docs.sciml.ai/DiffEqDocs/stable/basics/common_solver_opts/).
 
 # Examples