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3 cards from this section. Quick, good the night before a test.
Define multistep methods in your own words.
Think about how these methods leverage past computations.
What is the main benefit of using multistep methods?
Consider efficiency in solving ODEs over long periods.
What is the main purpose of multistep methods?
Think about the efficiency in solving differential equations.
True or false: The Adams–Bashforth method is an example of an implicit method.
Recall the definitions of explicit and implicit methods.
Given the differential equation dy/dx = y + x and the initial condition y(0) = 1, calculate y(0.5) using a 2-step Adams-Bashforth method after getting the first two values through a single-step method.
Ensure accuracy in your function evaluations.
How would you demonstrate the stability of chosen step sizes across multiple runs of a numerical solution problem using the Adams-Bashforth method?
Focus on error analysis between varying step sizes.
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