has characteristic Runge-Kutta based method deterministic system behaviour progression with fixed time step implicit method type Butcher-Kuntzmann method 2011-05-10 http://identifiers.org/doi/10.1002/zamm.19660460519 urn:issn:1088-6842(e) AZ From a theoretical point of view, the Butcher-Kuntzmann Runge-Kutta methods belong to the best step-by-step methods for nonstiff problems. These methods integrate first-order initial-value problems by means of formulas based on Gauss-Legendre quadrature, and combine excellent stability features with the property of superconvergence at the step points. Gauss method symplecticness ordinary differential equation problem