A general family of pseudo two - stepRunge - Kutta methods Nguyen
نویسنده
چکیده
The aim of this paper is to design a new family of numerical methods of arbitrarily high order for systems of rst-order diierential equations which are to be termed pseudo two-step Runge-Kutta methods. By using collocation techniques, we can obtain an arbitrarily high-order stable pseudo two-step Runge-Kutta method with any desired number of implicit stages in retaining the two-step nature. In very rst investigations , the pseudo two-step Runge-Kutta methods are shown to be promising numerical integration methods.
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