On de Vogelaere's method for

Authors:
John P. Coleman and Julie Mohamed

Journal:
Math. Comp. **32** (1978), 751-762

MSC:
Primary 65L05

DOI:
https://doi.org/10.1090/S0025-5718-1978-0492036-6

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 , and it is shown that the global truncation error is of order where *h* is the steplength.

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DOI:
https://doi.org/10.1090/S0025-5718-1978-0492036-6

Article copyright:
© Copyright 1978
American Mathematical Society