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3 cards from this section. Quick, good the night before a test.
What is the Adams–Moulton method?
Think about the types of equations it can solve.
What does implicit mean in the context of this method?
Consider how it differs from explicit methods.
What type of method is the Adams-Moulton method?
Consider how values from previous steps are used.
True or False: The Adams-Moulton methods typically provide less accuracy than explicit methods.
Think about stability and convergence.
Given dy/dx = sin(x) + y, with y(0) = 0, calculate y(0.2) using the 1-step Adams-Moulton method with a step size of 0.2.
Start by calculating f(0) and predicting y(0.2).
Derive the 3-step Adams-Moulton formula using numerical integration principles.
You need to work with the series of equations leading from the integral to the polynomial representation.
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