Title	A FORTRAN 77 Code for Plotting Stability Regions
Authors	Christopher A.H. Paul
Keywords	Stability regions, boundary-locus algorithm, Runge-Kutta methods
Report No.	230
Date	6th May 1993
Status
File size	75Kb

Abstract

The standard technique for obtaining the stability regions of numerical methods for ordinary differential equations (ODEs) and delay differential equations (DDEs) is the boundary-locus algorithm (BLA). However, in the case of the DDE y'(t) = l y(t) + u y(t-T) for l and u real, the BLA often fails to map out the stability region correctly. In this paper, we give a FORTRAN 77 listing of an alternative stability boundary algorithm, which can be used for both implicit and explicit numerical methods applied to both ODEs and DDEs.