(Textbook, targeting advanced undergraduate and postgraduate students in mathematics, which also discusses numerical partial differential equations.)

In numerical ordinary differential equations, various concepts of numerical stability exist, for instance A-stability.

Yet another definition is used in numerical partial differential equations.

One thing the men have in common is an analytical mind that instantly deconstructs business problems into numerical equations.

Dancers move through space in a way that echoes the expression of a numerical equation.

The scheme is always numerically stable and convergent but usually more numerically intensive as it requires solving a system of numerical equations on each time step.

Language equations are mathematical statements that resemble numerical equations, but the variables assume values of formal languages rather than numbers.

Instead of arithmetic operations in numerical equations, the variables are joined by language operations.

See the article on numerical ordinary differential equations for more background and other methods.

Polynomial interpolation also forms the basis for algorithms in numerical quadrature and numerical ordinary differential equations.