Lecture 35: The problem of implicitness for Stiff systems
Newton's Method
An alternative method for handling (9.3) is the vector form of the well known Newton method
for the iterative solution of the scalar equation . If a set of simultaneous equations is unknowns, is written in the vector form , then the Newton method may be written as
. If a set of 
simultaneous equations is 
is written in the vector form 
