New order 2 stabilized explicit method (TSRKC2)

[Iddingsite]

A new explicit stabilised method of order 2 two-step named TSRKC2 proposed in two successive papers:

Moisa, A., Faleichik B. "Second order stabilized two-step Runge–Kutta methods." Journal of Computational and Applied Mathematics (2024).
Moisa, A. "A family of two-step second order Runge–Kutta–Chebyshev methods." Journal of Computational and Applied Mathematics (2024).

The authors claim that it can outperformed ROCK2 for large problems, and I would be curious to see if it is the case. There is a C code provided, so it should be relatively easy to implement in OrdinaryDiffEq.