Summary
High order implicit integration formulae with a large region of absolute stability are developed for the approximate numerical integration of both stiff and non-stiff systems of ordinary differential equations. The algorithms derived behave essentially like one step methods and are demonstrated by direct application to certain particular examples.
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Cash, J.R. High order methods for the numerical integration of ordinary differential equations. Numer. Math. 30, 385–409 (1978). https://doi.org/10.1007/BF01398507
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DOI: https://doi.org/10.1007/BF01398507