numerischer

Numerischer is the German adjective meaning numerical or numeric. It describes quantities, calculations, or methods that involve numbers. In general usage, numerischer Wert means a numeric value, and numerische Berechnungen refer to computations performed by algorithms rather than purely symbolic reasoning.

In mathematics and the sciences, numerischer is a common qualifier in several established terms. Examples include Numerische Analysis (numerical analysis), Numerische Integration (numerical integration), Numerische Differentiation (numerical differentiation), Numerische Lineare Algebra (numerical linear algebra), and Numerische Optimierung (numerical optimization). These fields study algorithms for approximating solutions to equations, evaluating integrals, solving linear systems, and optimizing functions when exact symbolic methods are impractical or impossible due to complexity or limited precision.

In computer science and engineering, numerische Methoden refer to computational techniques that rely on number representations, floating-point arithmetic, and error analysis. Topics such as rounding errors, numerical stability, convergence, and conditioning are central to numerischer computation.

Linguistically, numerischer derives from numerus and is closely related to English numerical, Dutch numeriek, and French numérique. It contrasts with theoretisch or symbolisch when denoting approaches that aim for exact symbolic results rather than numerical approximations.