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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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 | References | Similar Articles | Additional Information

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1978-0492036-6
PII: S 0025-5718(1978)0492036-6
Article copyright: © Copyright 1978 American Mathematical Society