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4 cards from this section. Quick, good the night before a test.
What is round-off error?
Think about how numbers are stored in computers.
Define local truncation error.
Refer to how errors accumulate over steps.
What type of error is caused by the limited precision of computer arithmetic?
Think about how computers handle digits.
The global truncation error accumulates over how many integration steps?
Consider what happens to errors when you perform multiple steps.
Assume you have implemented Euler's method for a function. Describe how you would analyze the local truncation error in your implementation.
Remember to refer to the formula for local truncation error.
Given a numerical method with a known global truncation error of O(h^3), can you reason out the implications for the accuracy of the method if the step size is halved?
Consider the relationship between step size and the error term.
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