## 1.8.2 Adams-Moulton Methods

Measurable Outcome 1.12, Measurable Outcome 1.15, Measurable Outcome 1.17, Measurable Outcome 1.18, Measurable Outcome 1.19

Adams-Moulton methods are implicit methods of the form,

These methods use the same time derivative approximation as the Adams-Bashforth methods, however they include the \(n+1\) value of \(f\).

The coefficients for the first through fourth order methods are given in the table above.

The stability boundary for these methods are shown in Figure 1.20. While the stability regions are larger than the Adams-Bashforth methods, for \(p>2\) the methods have bounded stability regions. Thus, they will not be appropriate for stiff problems.