Mm. Chawla et al., EXTENDED DOUBLE-STRIDE L-STABLE METHODS FOR THE NUMERICAL-SOLUTION OFODES, Computers & mathematics with applications, 31(2), 1996, pp. 1-6
Usmani and Agarval [1] had proposed construction of extended one-step
higher (than two) order A-stable methods by coupling classical Linear
Multistep Methods (LMMs). Following on their idea, in the present pape
r we describe a class of extended double-stride methods based on Simps
on's rule, which are fourth order and L-stable.