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4 cards from this section. Quick, good the night before a test.
Define round-off error.
Consider the limitations of storing decimal values.
What is local truncation error?
Think about the accuracy of the next computed value against the actual value.
What type of error occurs due to finite precision?
Think about how computers handle decimal points.
Is the global truncation error the accumulation of local truncation errors?
Remember how errors stack up in processes.
Given a differential equation, analyze how choosing different step sizes affects local and global truncation errors mathematically.
Investigate how varying h impacts your overall error across the intervals.
Design a numerical method using both adaptive step size control and Richardson extrapolation. Show step-by-step how errors are managed.
Think creatively about the integration of both methods to enhance accuracy.
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