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3 cards from this section. Quick, good the night before a test.
Define Local Truncation Error (LTE).
Think about steps and how we compare exact with computed values.
What is the order of LTE for Euler's method?
Recall the basic notation for order of accuracy.
What does Local Truncation Error (LTE) represent?
Focus on the definition of LTE provided earlier.
True or False: The order of a method increases with the step size.
Think about the relationship between error and step size.
A differential equation has an exact solution. If you apply Euler's method with a step size of h and find an LTE of O(h^2), how would changing the step size impact the LTE?
Reflect on how 'h' relates to the error.
You have options between Euler's method and a fourth-order Runge-Kutta method. Explain a scenario when you would choose one over the other based on LTE.
Consider the balance between computation time and required accuracy.
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