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Mathematics of Computation

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On comparing Adams and natural spline multistep formulas

Author: David R. Hill
Journal: Math. Comp. 29 (1975), 741-745
MSC: Primary 65L05
MathSciNet review: 0375781
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Abstract: This paper presents two techniques for the comparison of Adams formulas and methods based on natural splines. A rigorous foundation to the claim that a pth order natural spline formula produces better results than a pth order Adams method, but not quite as good as a $(p + 1)$st order Adams formula is given for $p = 2,3,4$, which suggests the general case.

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Article copyright: © Copyright 1975 American Mathematical Society