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2 cards from this section. Quick, good the night before a test.
Define Global Truncation Error.
Think about how errors accumulate in numerical methods.
What does the order of a method indicate?
Consider the relationship between step size and accuracy.
What does Global Truncation Error (GTE) refer to?
It involves the total action of many steps.
True or False: Higher order methods always lead to less error.
Consider the balance between accuracy and computational costs.
You have a numerical method of order 3. If the step size is reduced by half, what happens to GTE?
Remember the formula involving the order of the method.
A simulation in engineering requires precise results. Discuss how you would choose between a second-order and a fourth-order numerical method considering GTE.
Think about the context of use and available resources.
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