QUAD_2016
Numerical Quadrature
ISC 5226 - Spring 2016

QUAD_2016 contains some information used when I taught the numerical quadrature section of Professor Ming Ye's class ISC 5226, "Numerical Methods for Earth and Environmental Sciences", Friday, 25 March 2016 and Wednesday, 30 March 2016.

Functions f(x) to integrate:

• derf.m, integral from -3 to +3 is erf(3.0)-erf(-3.0);
• disc.m, integral from 0 to 1 is 10.
• expo.m, integral from 2 to 4 is exp(4.0)-exp(2.0).
• humps.m, integral from 0 to 2 is 34.9262...
• linear.m, integral from 0 to 1 is 4.
• ramp.m, integral from -1 to +1 is 3.0.
• roller.m, integral from 0 to 4 is - 2.9878...
• sine.m integral from 0 to pi is 2.
• velocity.m, integral from 0 to 24 is 345.22.

Quadrature methods:

• clenshaw_curtis.m, (specify N as number of points).
• gauss1.m
• gauss2.m
• gauss3.m
• gauss4.m
• gauss5.m
• gauss6.m
• left_rectangle.m
• midpoint.m
• monte_carlo.m, (specify N as number of points).
• newton_cotes.m, (specify N as number of points).
• simpson13.m
• simpson38.m
• trapezoid.m

Composite quadrature methods, specify M as number of intervals:

• composite_clenshaw_curtis.m
• composite_gauss1.m
• composite_gauss2.m
• composite_gauss3.m
• composite_gauss4.m
• composite_gauss5.m
• composite_gauss6.m
• composite_left_rectangle.m
• composite_midpoint.m
• composite_monte_carlo.m
• composite_newton_cotes.m
• composite_simpson13.m
• composite_simpson38.m
• composite_trapezoid.m

Other stuff:

• 0575P08_chap03.pdf, the text;
• Chapter3_Diff_Integ.pdf, slides;
• silk.pdf, silk versus Kevlar. Estimate the two integrals to see which material withstands the most force;
• velocity_even_data.m, the velocity problem as a set of evenly spaced data;
• velocity_uneven_data.m, the velocity problem as a set of unevenly spaced data;