Topic: Quadrature and Error Bounds

Handling Odd Panel Counts with Simpson’s Three-Eighths Rule

Bounding Fourth Derivatives for Simpson’s Rule

Simpson Exactness for Cubic Polynomials

The Composite Simpson Error Bound

Deriving Simpson Weights

Why Simpson Requires Even Panels

Convexity and Trapezoid Bias

The Composite Simpson Rule

Bounding Curvature for Trapezoidal Error

Choosing Trapezoid Panel Counts