Osculatory and hyperosculatory cubature formulas
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- by Herbert E. Salzer PDF
- Math. Comp. 31 (1977), 230-234 Request permission
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.References
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- Š. E. Mikeladze, On formulas for mechanical cubatures, containing partial derivatives of the integrand, Bull. Acad. Sci. Georgian SSR [Soobščenia Akad. Nauk Gruzinskoi SSR] 4 (1943), 297–300 (Russian, with Georgian summary). MR 0011183
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 230-234
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1977-0426381-6
- MathSciNet review: 0426381