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In [ 1 ] the Reduction to Scalar CDS method for the solution of separably stiff initial value problems is proposed. In this paper an improved version is given that is equivalent for linear problems but considerably superior for nonlinear problems. A naturally arising numerical example is given, for which the old version fails, yet the new version yields very good results. The disadvantage of the new version is that in the case of several dominant eigenvalues s > 1, say, a system of s nonlinear equations has to be solved, whereas the old version gives rise to s uncoupled nonlinear equations.

An improved version of the reduction to scalar CDS method for the numerical solution of separably stiff initial value problems