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On de Vogelaere's method for $ y\sp{\prime\prime}=f(x,\,y)$

Authors: John P. Coleman and Julie Mohamed
Journal: Math. Comp. 32 (1978), 751-762
MSC: Primary 65L05
MathSciNet review: 492036
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Abstract: Easily calculated truncation-error estimates are given which permit efficient automatic error control in computations based on de Vogelaere's method. An upper bound for the local truncation error is established, the interval of absolute stability is found to be $ [ - 2,0]$, and it is shown that the global truncation error is of order $ {h^4}$ where h is the steplength.

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Article copyright: © Copyright 1978 American Mathematical Society

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