Abstract
We introduce a general family of collocation based two–step Runge–Kutta methods for the numerical integration of Ordinary Differential Equations depending on the stage values at two consecutive step points. We describe two constructive techniques and analyze the properties of the resulting methods.
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D’Ambrosio, R., Ferro, M., Paternoster, B. (2008). Collocation–Based Two Step Runge–Kutta Methods for Ordinary Differential Equations. In: Gervasi, O., Murgante, B., Laganà, A., Taniar, D., Mun, Y., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2008. ICCSA 2008. Lecture Notes in Computer Science, vol 5073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69848-7_59
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DOI: https://doi.org/10.1007/978-3-540-69848-7_59
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