Construction of Runge-kutta Methods of Crouch-grossman Type of High Order Construction of Rungeekutta Methods of Crouchhgrossman Type of High Order

Abstract

An approach is described to the numerical solution of order conditions for RungeKutta methods whose solutions evolve on a given manifold. This approach is based on least squares minimization using the Levenberg-Marquardt algorithm. Examples of methods of order four, ve and six are given and numerical experiments are presented which con rm that the derived… (More)

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