The Taylor Series and explicit Runge-Kutta methods that we have discussed so
far have no memory: the value of for **t** before do not
directly affect the values of for **t** after . Other methods
take advantage of previously computed solution values and are referred to
as multistep methods. The Adam's formulas for non-stiff problems and the
Backward Differentiation Formulas for stiff problems furnish important and
widely-used examples of multi-step methods.

- 2.3.1 The Adams-Bashforth and Adams-Moulton Formulas
- 2.3.2 Stiff Problems: Backward Differentiation Formulas
- 2.3.3 The Code VODE
- 2.3.4 VODE Example