An Imbedded Family of Fully Symmetric Numerical Integration Rules

DOI10.1137/0720038zbMath0541.65012OpenAlexW2063901300MaRDI QIDQ3327612

A. A. Malik, A. C. Genz

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0720038

zbMATH Keywords

comparisonpolynomial degreefully symmetric quadrature rulesimbedded family of rulesn-dimensional hypercube

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (9)

On the construction of multi-dimensional embedded cubature formulae ⋮ Fully symmetric integration rules for the 4-cube ⋮ Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals ⋮ Lattice rules for nonperiodic smooth integrands ⋮ A lower bound for the number of function evaluations in an error estimate for numerical integration ⋮ Large-scale parallel numerical integration ⋮ Cuba -- a library for multidimensional numerical integration ⋮ Results and techniques for higher order calculations within the gradient-flow formalism ⋮ Monomial cubature rules since ``Stroud: A compilation

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