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3 cards from this section. Quick, good the night before a test.
What is a finite difference method used for?
Think about what we do when we can't derive a function analytically.
Name an advantage of the trapezoidal rule.
Consider the nature of the shape it uses for estimation.
What is the primary use of finite difference methods?
Think about what finite differences are meant to calculate.
True or False: Simpson's rule has a convergence rate of O(h^2).
Consider the differences in convergence rates we discussed.
Calculate the derivative of f(x) = sin(x) using the central difference method at x = π/4 with h = 0.01.
Remember the value of sin(π/4) and how to calculate using your methods.
Set up an example using Simpson’s rule to approximate the integral of f(x) = x² from 0 to 2 with 4 intervals.
What is the structure of Simpson's rule for multiple intervals?
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