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3 cards from this section. Quick, good the night before a test.
What is Local Truncation Error?
Think about the error in one calculation step.
How does Global Truncation Error differ from Local Truncation Error?
Consider the difference in how errors accumulate.
What does Local Truncation Error depend on?
Remember the relationship between LTE and step size.
True or False: Global Truncation Error adds up errors over multiple steps.
Think about how errors might accumulate in a series.
Suppose you have an ODE to solve where the step sizes are h = 0.1, h = 0.05, and h = 0.01. Compare the expected Local Truncation and Global Truncation Errors for these step sizes.
Think about how both types of errors relate to h squared and h.
Design a numerical experiment using different step sizes for Euler’s Method on the same ODE, tracking how errors differ in your results at predetermined points.
Conduct the experiment focusing on both types of errors, ensuring clarity in recording outcomes.
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