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3 cards from this section. Quick, good the night before a test.
What is the Gibbs Phenomenon?
Think about what happens at jumps in functions.
What does truncation mean in numerical methods?
It relates to how you might round something off.
What do numerical methods help engineers achieve?
Recall the discussion about complications in shapes.
True or False: The Gibbs Phenomenon indicates that using more terms always prevents oscillations.
Consider what happens at a sudden jump.
Consider a complex boundary problem in fluid dynamics. Describe how you would set up a finite element solution to analyze the flow.
Think about how breaking a complex shape into smaller shapes can make the problem easier to handle.
Using the Fourier series, derive the first three terms for the function given by f(x) = sin(3πx/10) on the interval [0,10]. Discuss what happens when you add more terms.
Start with the Fourier sine coefficients and recall what happens with complex functions.
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