Lecture 27: Consistency and Zero-Stability of Linear Multistep Methods
Some Definitions
Definition: A method defined by (8.1) is said to be consistent if
and .
Definition: A method defined by (8.1) is said to be zero-stable if the modulus of no root of the associated polynomial exceeds 1, and that the roots of modulus 1 be simple.
and 
. 
exceeds 1, and that the roots of modulus 1 be simple. 
