… John Butcher is recognised as the founder of the modern theory of Runge–Kutta methods and discover of the Butcher group. His contributions to numerical analysis include the formulation of implicit Runge–Kutta methods, particularly methods based on Gauss–Legendre, Radau and Lobatto quadrature, general linear methods, order barriers for explicit Runge–Kutta methods, effective order, non-linear stability and order arrows. His name is attached to the Butcher tableau and the Butcher product, as well as to the Butcher group and Butcher series.
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