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3 cards from this section. Quick, good the night before a test.
What does Global Truncation Error (GTE) refer to?
Think about what happens as we add steps in a numerical method.
What is the primary formula connecting GTE and LTE?
Consider how we calculate total error based on single step errors!
What is Global Truncation Error (GTE)?
Consider what happens when you keep approximating.
True or False: GTE is independent of the step size used in the numerical method.
Reflect on the relationship between step size and error.
Consider a numerical method with a high order, how would you adjust your approach to maintain low GTE while solving complex ODEs?
Evaluate the function’s responsiveness and detail when changing steps.
Given an ODE solved using Euler's method yielding GTE as O(h), derive the implications on choosing h for an error threshold of 0.01.
How does the total error influence your step sizes?
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