Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope

DOI10.1007/s10543-018-0703-3zbMath1496.65040OpenAlexW2792760164MaRDI QIDQ1783378

Allal Guessab, Boris Semisalov

Publication date: 20 September 2018

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-018-0703-3

zbMATH Keywords

cubatureerror estimatesconvexityapproximationbest constants

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical quadrature and cubature formulas (65D32) Best constants in approximation theory (41A44)

Related Items (6)

Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration ⋮ Sampling and change of measure for Monte Carlo integration on simplices ⋮ On a generalization of an approximation operator defined by A. Guessab ⋮ Extended Multidimensional Integration Formulas on Polytope Meshes ⋮ A characterization for the validity of the Hermite-Hadamard inequality on a simplex ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

Uses Software

• DistMesh

Cites Work

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