humps
Mathematical Programming with Python
https://people.sc.fsu.edu/~jburkardt/classes/...
python_2025/humps/humps.html

humps: Advanced hump analysis using scipy(), focusing on the humps() test function originally developed in MATLAB, we use a variety of scipy() functions to optimize, integrate, differentiate, and perform ODE and BVP simulations.

Lecture notes:

• humps.pdf

• humps.py, defines the humps() function, as well as its first and second derivative and antiderivative.
• humps_local_min.py, searches for the location of a local minimum in humps().
• humps_local_max.py, searches for the location of two local maximums in humps().
• humps_zero.py, searches for the location of a root of humps().
• humps_interp.py, uses 8 sample values of humps(x) to produce a nearest neighbor, linear, or cubic interpolant.
• humps_quad.py, estimates the integral of humps(x) over [0,2].
• humps_derivative.py, estimates the derivative of humps(x).
• humps_ode.py, solves an ordinary differential equation whose solution is humps(x).
• humps_bvp.py, solves a boundary value problem whose solution is humps(x), using linear algebra.
• humps_solve_bvp.py, solves a boundary value problem whose solution is humps(x), using the scipy function solve_bvp().