Summary
Convergence estimates are given forA(α)-stable multistep methods applied to singularly perturbed differential equations and nonlinear parabolic problems. The approach taken here combines perturbation arguments with frequency domain techniques.
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Lubich, C. On the convergence of multistep methods for nonlinear stiff differential equations. Numer. Math. 58, 839–853 (1990). https://doi.org/10.1007/BF01385657
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DOI: https://doi.org/10.1007/BF01385657