Extended double-stride \(L\)-stable methods for the numerical solution of ODEs
Two formulae are derived, each of which can be regarded as a modified version of Milne's method. It is claimed that they are both 4th-order and \(L\)-stable. It is proposed to implement these methods for stiff problems by using simple fixed-point iteration, and some numerical results are shown for two scalar test problems. It appears that both methods could be recast as implicit Runge-Kutta methods which would provide a means for checking the results of the paper.
scientific article; zbMATH DE number 878516
scientific article