Runge–Kutta methods

In numerical analysis, the Runge–Kutta methods (English: /ˈrʊŋəˈkʊtɑː/ ⓘ RUUNG-ə-KUUT-tah) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. These methods were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta.

Differential equations
Scope
Fields
Applied mathematics
Social sciences
List of named differential equations
Classification
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By variable type
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Relation to processes
Solution
Existence and uniqueness
General topics
Solution methods
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