Sharp multidimensional numerical integration for strongly convex functions on convex polytopes

DOI10.2298/FIL2002601AzbMath1499.65083MaRDI QIDQ5865637

Osama Alabdali, Allal Guessab

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

multivariate approximationpartitions of unitycubature formulaspositive definite formulas

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Convexity of real functions of several variables, generalizations (26B25)

Uses Software

• PolyMesher

Cites Work

• Approximations of differentiable convex functions on arbitrary convex polytopes
• \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
• Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
• Centroidal Voronoi Tessellations: Applications and Algorithms