Department of Mathematics, University of Botswana, Private Bag-0022, Gaborone, Botswana
Online published on 31 May, 2014.
The paper deals with the numerical solution of IVPs for systems of stiff ODEs with particular emphasis on implicit linear multistep methods (LMM) particularly the backward differentiation formulae (BDF). In this paper we investigate the current strategies that are used to terminate the Newton iterations in the Matlab Code ode15s we analyse the algorithms for terminating the Newton iterations as implemented in the code ode15s. We thenmodify the existing termination strategy. Our numerical experiments reveal an improvement in terms of computational costs.
