EXPONENTIAL-FITTED 4-STEP METHODS FOR Y''=F(X,Y)

Recently, we established a family S-f(q;omega(2)) of sixth-order four- step exponential-fitted methods for solving the initial value problem y '' = f(x, y), y(a) = y(0), y'(a) = y(0)'. This family depends on fiv e parameters: a four-dimensional vector omega(2) which is tuned in ter ms of f(x, y) and a scalar q that is fixed in terms of stability requi rements. Based on this family a code called EFMS has been developed. I n the present paper, we give a brief(1) overview of some of the featur es of these methods and the code.