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3 cards from this section. Quick, good the night before a test.
What are multistep methods?
Think about how many points are involved in making these calculations.
Name a type of multistep method.
Recall the names mentioned in class.
What is the main characteristic of multistep methods?
Think about how they differ from single-step methods like Euler's.
True or False: Adams-Moulton methods are usually more stable than Adams-Bashforth methods.
Consider the impact of implicitness on stability.
Given the differential equation dy/dt = -2y with an initial condition y(0) = 1, use the two-step Adams-Bashforth method with a step size of 0.1 to estimate y(0.2).
Start with the simplest method to get the intermediate result before applying the multistep technique.
Consider the stiff ordinary differential equation dy/dt = -y^2 + 3y. Solve it using the Adams-Moulton method with initial values and a given step size.
Focus on constructing the system of equations for the implicit steps and remember to consider the previous values.
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