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Game Cards — Chapter 9
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Gaussian quadrature
Gaussian rules choose nodes and weights for maximum polynomial exactness.
Adaptive quadrature
Adaptive methods refine where the estimated error is large.
Trapezoidal rule
The trapezoidal rule integrates the linear interpolant and is robust for smooth data.
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.
Quadrature
Numerical integration approximates an integral by weighted samples.