Alternative Local Timestepping RK Schemes

Hello everyone,
I have a question regarding the local time-stepping (local-pi)
I would like to use local-pi with ‘vermeire’ pseudo-scheme
but it seems that local-pi only works with rk34 and rk45 , are these the schemes referenced here?
I don’t think so but I had to ask.
“Optimal Runge–Kutta schemes for pseudo time-stepping with high-order unstructured methods”

What is the current state on this, perhaps I can contribute to its solution/implementation

Hi Mohamed,

The best place for you to start is likely with this follow-on paper that implements embedded pairs with the optimal schemes.

This has similar optimal schemes, but as embedded pairs, meaning they can automatically adjust the pseudo-time step using the local-pi option. The supplementary material that you can download from the publisher includes a patch to implement the schemes, and the Butcher tableaus are also included there.

Thanks for the prompt reply.
I read the paper but I did not know it had supplementary materials
I will just do that
Really appreciate it