Abstract: Examples of the numerical solution of model problems from various fields of science and engineering are presented in this chapter. All research begins with the mathematical formulation of a problem and the selection of a numerical method. The programs developed here are implemented using the GSL scientific library. The numerical results are visualized employing gnuplot.
The problem of constructing an approximate function for a set of one-dimensional data is formulated and solved. The polynomial approximation including the least squares fitting of polynomials is considered.