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Communications of the ACM

A note on “A modification of Nordsieck's method using an ‘Off-Step’ point”


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An examination was made of the experimental results presented by J.J. Kohfeld and G.T. Thompson [1] in their paper on a modification of Nordsieck's method for the numerical solution of ordinary differential equations, using a multiple precision arithmetic package [2] available on the IBM 7094 at The Ohio State University Computer Center. A comparison was made between the errors of the Nordsieck and the Gragg-Stetter-Nordsieck methods in which, after the starting procedure, the interval length “h” was held constant. Results relative to the five functions used by Kohfeld and Thompson are presented in Tables I and II (@ b means 10b).

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