Integrator A List of mathematical integrators: Romberg integrator, Composite trapezoid rule, Composite midpoint rule, Composite Three-point Gaussian, Composite Simpson 1/3 rule github: kwyip Romberg integrator Code: romberg.m It produces a matrix r of size (n+1,n+1). The entry of r(n+1,n+1) contains accurate solution. Composite Trapezoid rule over n intervals, (for just trapezoid, put n = 1) Code: compositetrapezoid.m Composite Midpoint rule over n intervals, (for just Midpoint, put n = 1) Code: compositemidpoint.m Composite Three-point Gaussian over n intervals (for just Three-point Gaussian, put n = 1) Code: composite3pointgaussian.m Composite Simpson's 1/3 rule over n intervals (for just Simpson's 1/3 rule, put n = 1) Code: compositesimpson13.m Example: testing for composite rules for integrating from 0 to 2pi over 32 intervals Code: exampletesting32intervals.m Output: A colored plot of the function that needs to be integrated: