Abstract
Theorems 6.10 and 6.11 give satisfactory convergence results for G -stable one-leg methods and A -stable multistep methods. But there are only few such methods and their highest order is two (Theorem 1.4). It is therefore interesting to relax the requirement of A -stability and to investigate higher-order multistep and one-leg methods. This section is devoted to linear stiff problems, while Sect. V.8 will treat non-linear problems.
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© 1996 Springer-Verlag Berlin Heidelberg
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Hairer, E., Wanner, G. (1996). Convergence for Linear Problems. In: Solving Ordinary Differential Equations II. Springer Series in Computational Mathematics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05221-7_22
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DOI: https://doi.org/10.1007/978-3-642-05221-7_22
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