Abstract
The truncation error in single step methods for ordinary differential equations may be bounded by terms which represent quadrature remainders. The remainders may be determined by applying Peano's theorem and this treatment suggests a variety of methods based on quadrature rules. In some cases the error bounds improve on classical results.
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References
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© 1969 Springer-Verlag
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Cooper, G.J. (1969). Error bounds for some single step methods. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060020
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DOI: https://doi.org/10.1007/BFb0060020
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