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Revert removal of main part of second Dahlquist barrier by The-erinaceous-one on 26 May 2021, and reformulate it. The previous text was badly written, but correct in spirit. Added specific reference to theorem in Dahlquist's 1963 paper. |
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===Second Dahlquist barrier===
The second Dahlquist barrier states that no explicit linear multistep methods are [[Stiff equation#A-stability|A-stable]]. Further, the maximal order of an (implicit) A-stable linear multistep method is 2. Among the A-stable linear multistep methods of order 2, the trapezoidal rule has the smallest error constant {{harv|Dahlquist|1963|loc=Thm 2.1 and 2.2}}.
== See also ==
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