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Memory Cards
Memory Cards — Chapter 9
Each card contains a compact summary of what must be remembered from the chapter.
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Simpson rule
Simpson's rule uses quadratic information and has higher order for smooth functions.
Composite rules
Composite quadrature reduces error by subdividing the interval.
Adaptive quadrature
Adaptive methods refine where the estimated error is large.
Quadrature
Numerical integration approximates an integral by weighted samples.
Gaussian quadrature
Gaussian rules choose nodes and weights for maximum polynomial exactness.
Trapezoidal rule
The trapezoidal rule integrates the linear interpolant and is robust for smooth data.