Gan, Siqing; Sun, Geng Convergence of one-leg methods for singular perturbation problems with delays. (English) Zbl 1054.65072 Sci. China, Ser. A 45, No. 3, 280-289 (2002). Summary: This paper is concerned with the error behaviour of one-leg methods applied to some classes of one-parameter multiple stiff singularly perturbed problems with delays. We obtain convergence results of A-stable one-leg methods with linear interpolation procedure. Numerical experiments further confirm our theoretical analysis. Cited in 2 Documents MSC: 65L05 Numerical methods for initial value problems involving ordinary differential equations 34K26 Singular perturbations of functional-differential equations PDFBibTeX XMLCite \textit{S. Gan} and \textit{G. Sun}, Sci. China, Ser. A 45, No. 3, 280--289 (2002; Zbl 1054.65072)