A Unifying Theory for Runge--Kutta-like Time Integrators: Convergence
and Stability
A Unifying Theory for Runge--Kutta-like Time Integrators: Convergence
and Stability
The work deals with two major topics concerning the numerical analysis of Runge-Kutta-like (RK-like) methods, namely their stability and order of convergence. RK-like methods differ from additive RK methods in that their coefficients are allowed to depend on the solution and the step size. As a result of this, we …