Summary
Recently the author defined the class of natural Runge-Kutta methods and observed that it includes all the collocation methods. The present paper is devoted to a complete characterization of this class and it is shown that it coincides with the class of the projection methods in some polynomial spaces.
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This work was supported by the Italian Ministero della Pubblica Istruzione, funds 40%
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Zennaro, M. Natural Runge-Kutta and projection methods. Numer. Math. 53, 423–438 (1988). https://doi.org/10.1007/BF01396327
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DOI: https://doi.org/10.1007/BF01396327