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4 cards from this section. Quick, good the night before a test.
Write down the general formula for the k-step Adams–Bashforth method.
Use terms like $y$, $h$, $b$ and $f$.
What is the specific formula for the 2-Step Adams–Bashforth method?
Remember to include the coefficients of the function evaluations.
What type of method is Adams–Bashforth?
Think about how the next step is calculated.
The local truncation error for the k-step method is of what order?
Recall the relationship between steps and error order.
Given an initial value problem, solve using the 3-Step Adams–Bashforth method. Determine the approximate value after four steps if initial values are provided.
Recall how the 3-step formula incorporates values from previous computations.
Explain how the choice of step size affects the accuracy of the Adams-Bashforth methods and potential stability issues.
Think about the balance between speed and accuracy in numerical methods.
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