The numerical mathematics, also briefly called numerics, provides a numerical solution to a problem: Whether it is the value of a formula, the solution of an equation or a system of equations, the root of a function, the solution of an optimisation problem, the solution curve of an ordinary differential equation or possibly the solution function of a partial differential equation: In numerical mathematics, algorithms are developed that calculate approximate solutions to these problems. The focus is on two things: The algorithms should provide accurate results and be fast.