We consider the new family of two step Runge-Kutta-Nystr¨om methods for the numerical integration of y"=f(x,y). We derive the conditions to obtain two step Runge-Kutta-Nystr¨om methods which integrate algebraic polynomials exactly and analyze the one-stage case.
Two step Runge-Kutta-Nystrom methods based on algebraic polynomials
PATERNOSTER, Beatrice
2003
Abstract
We consider the new family of two step Runge-Kutta-Nystr¨om methods for the numerical integration of y"=f(x,y). We derive the conditions to obtain two step Runge-Kutta-Nystr¨om methods which integrate algebraic polynomials exactly and analyze the one-stage case.File in questo prodotto:
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