Summary
A Hermitian interpolating polynomial for a function of N real variables and its first derivatives is introduced, which generalizes the Hermitian interpolating polynomial in one dimension. On integration “good cubature formulae” are obtained, that means the cubature formulae have positive weights, and the nodes are inside the domain of integration if this is convex. In addition the cubature formulae are minimal formulae
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References
Engels, H.: Numerrical Quadrature and cubature, Academic Press, 1980
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© 1985 Birkhäuser Verlag Basel
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Engels, H. (1985). Hermite-Interpolation in N Variables and Minimal Cubature Formulae. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory III. International Series of Numerical Mathematics, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9321-3_15
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DOI: https://doi.org/10.1007/978-3-0348-9321-3_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9995-6
Online ISBN: 978-3-0348-9321-3
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