Runge–Kutta–Möbius methods
In the numerical integration of nonlinear autonomous initial value problems, the computational process depends on the step size scaled vector field hf as a distinct entity. This paper considers a parameterized transformation hf↦hf∘(I-γhf)-1,and its role in the finite step size stability of singly diagonally implicit Runge—Kutta (SDIRK) methods. For a suitably chosen γ> 0 , the transformed map is L