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Mathematics of Computation

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Osculatory and hyperosculatory cubature formulas


Author: Herbert E. Salzer
Journal: Math. Comp. 31 (1977), 230-234
MSC: Primary 65D30
DOI: https://doi.org/10.1090/S0025-5718-1977-0426381-6
MathSciNet review: 0426381
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Abstract: Osculatory and hyperosculatory cubature formulas for a rectangular region, employing the function with either first, or first and second partial derivatives, were obtained together with dominant remainder terms involving higher derivatives at one point, providing exact accuracy through the fifth (seventh) degree without (with) remainders.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1977-0426381-6
Keywords: Cubature, osculatory cubature, hyperosculatory cubature, dominant remainder terms, bivariate interpolation
Article copyright: © Copyright 1977 American Mathematical Society