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2 cards from this section. Quick, good the night before a test.
What is the Adams-Moulton Method?
Think about its relationship with implicit and explicit methods.
List one advantage of using the Adams-Moulton Method.
Consider why accuracy is important in solving differential equations.
What does implicit mean in the context of the Adams-Moulton Method?
Think about the nature of numerical methods.
Is the Adams-Moulton Method used for explicit or implicit cases?
Recall what defines an implicit method.
Using an initial condition y(0)=2 and the function dy/dt = y - t^2 + 1, solve for y(0.2) using the 1-step Adams-Moulton method.
Check your function evaluations correctly and ensure you remember to use averaging.
In a scenario where system behavior is drastically changing, discuss how the Adams-Moulton method could alleviate problems of accuracy in predictions.
How does incorporating past information help stabilize predictions where others may fail?
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