MULTISTRIDE L-STABLE 4TH-ORDER METHODS FOR THE NUMERICAL-SOLUTION OF ODES

Recently, Chawla et al. [1] have obtained a one-parameter family of do uble-stride L-stable methods of fourth order by the coupling of three Linear Multistep Methods (LMMs). Here we present an alternative deriva tion technique based on mono-implicit Runge-Kutta (MIRK) methods. The MIRK method provides a framework within which all families of double- and triple-stride L-stable methods of fourth order can be expressed. T he well-established theory for Runge-Kutta methods can then be used to derive these families in a straightforward manner.