humps, a Python code which evaluates the humps() function, its first and second derivatives, and its antiderivative.
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humps is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
humps_bvp, a Python code which sets up a boundary value problem (BVP) whose solution is a double hump curve.
humps_ode a Python code which solves an ordinary differential equation (ODE) whose solution is a double hump curve.
peaks, a Python code which evaluates the peaks() function, obtained by translating and scaling several Gaussian distributions in 2D. It is useful for demonstrating contour plots, surface plots, and optimization algorithms.
runge, a Python code which evaluates the Runge() function, its first and second derivatives, and its antiderivative. This function causes a breakdown for polynomial interpolation over equally spaced nodes in [-1,+1]. The functions are plotted.
sigmoid, a Python code which evaluates the sigmoid function s(x)=1/(1+exp(-x)) or its derivatives of any order. The test code creates graphic images.
sinc, a Python code which evaluates the sinc() function, its first and second derivative and its antiderivative. The normalized function is defined by sincn=sin(pi*x)/(pi*x), the unnormalized function is sincu=sin(x)/x. Plots of these functions are made.
steinerberger, a Python code which evaluates the Steinerberger function, a continuous function with discontinuous derivative, which is very hard to accurately plot, integrate, minimize, or interpolate.
