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Convergence of one-leg methods for singular perturbation problems with delays. (English) Zbl 1054.65072

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.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34K26 Singular perturbations of functional-differential equations
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