On the determination of the weights in multi-dimensional numerical quadrature

DOI10.1007/BF02252195zbMath0404.65014OpenAlexW198840643MaRDI QIDQ1256833

Augustin Paulik

Publication date: 1978

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252195

zbMATH Keywords

Generalized InverseRounding ErrorsAverage ErrorMultidimensional IntegrationQuadrature Rules

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Roundoff error (65G50) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• On the optimal approximation of bounded linear functionals in Hilbert spaces with inner product invariant in rotation or translation
• On generalized inverses and on the uniform convergence of \((I-\beta K)_ n\) with application to iterative methods
• Exactness conditions in numerical quadrature
• Minimum Variance Approximate Formulas
• Optimal Approximation in Hilbert Spaces with Reproducing Kernel Functions
• Smoothest Approximation Formulas

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