2.5 - Central Difference Interpolation Formulas
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Practice Questions
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Define central difference interpolation.
💡 Hint: What does it mean to look both ways in interpolation?
What is Stirling's Formula used for?
💡 Hint: Think about where you would place a midpoint.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Central Difference Interpolation rely on to estimate a function's value?
💡 Hint: Think about where the estimation gets its influences.
True or false: Stirling's Formula is used for points near the beginning of a dataset.
💡 Hint: Where does Stirling prefer to work?
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Challenge Problems
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Given data points (1, f(1)), (2, f(2)), (3, f(3)), and (4, f(4)), use Stirling's formula to estimate f(2.5) if f(1), f(2), f(3), and f(4) are known.
💡 Hint: Identify the differences in y-values first.
Analyze a set of five data points and determine the best way to interpolate a value close to the middle using both Stirling's and Bessel’s formulas. Discuss their outcomes.
💡 Hint: How do the results differ based on placements?
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