In a recent publication [4] the author developed an extrapolation method, the $W$-transformation, for the accurate computation of convergent oscillatory infinite ...

Extrapolation scheme combines two half-steps and the full time step to obtain desirable properties. See more details below in `extrapolation_scheme`.

Performs two implicit half-steps, one full implicit step, and combines them with such coefficients that ensure second-order errors. More computationally expensive than Crank-Nicolson scheme, but ...

The paper is intended to give a survey on the state-of-the-art of extrapolation methods for initial value problems in ordinary differential equation systems. All basic discretizations, which are ...