“Nearly” A-Stable Multistep Methods
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 14)
Dahlquist’s condition p ≤ 2 for the order of an A -stable linear multistep method is a severe restriction for efficient practical calculations of high precision. There are only two ways of “breaking” this barrier:
either weaken the condition;
or strengthen the method.
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© Springer-Verlag Berlin Heidelberg 1996