Tchakaloff-like compression of QMC volume and surface integration on the union of balls

DOI10.1007/s10092-024-00587-zzbMATH Open1546.65016MaRDI QIDQ6599780

Alvise Sommariva, Giacomo Elefante, Marco Vianello

Publication date: 6 September 2024

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

quasi-Monte Carlo integrationunion of ballssurface integralsvolume integralsnon-negative least squaresTchakaloff-like discrete measure compression

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• High order recombination and an application to cubature on Wiener space
• Mathematical analysis and calculation of molecular surfaces
• Multivariate Jackson inequality
• Computing the volume of the union of spheres
• Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points
• Monte Carlo cubature construction
• Deviation maximization for rank-revealing QR factorizations
• Monte Carlo construction of cubature on Wiener space
• A boundary-partition-based Voronoi diagram of \(d\)-dimensional balls: definition, properties, and applications
• Non-negative moment fitting quadrature rules for fictitious domain methods
• Compressed algebraic cubature over polygons with applications to optical design
• Low cardinality positive interior cubature on NURBS-shaped domains
• Spheres Unions and Intersections and Some of their Applications in Molecular Modeling
• Compression of Multivariate Discrete Measures and Applications
• A Nearest Point Algorithm for Convex Polyhedral Cones and Applications to Positive Linear Approximation.
• Numerical quadrature on the intersection of planar disks
• Ideals, Varieties, and Algorithms
• Quadrature rules and distribution of points on manifolds
• Caratheodory-Tchakaloff Subsampling
• A New Quasi-Monte Carlo Technique Based on Nonnegative Least Squares and Approximate Fekete Points
• A Construction of Nonnegative Approximate Quadratures
• Random sampling and unisolvent interpolation by almost everywhere analytic functions
• The Lawson‐Hanson algorithm with deviation maximization: Finite convergence and sparse recovery
• Accelerating the Lawson-Hanson NNLS solver for large-scale Tchakaloff regression designs
• Computing Tchakaloff-like cubature rules on spline curvilinear polygons
• CQMC: an improved code for low-dimensional compressed quasi-MonteCarlo cubature
• Cubature rules with positive weights on union of disks

This page was built for publication: Tchakaloff-like compression of QMC volume and surface integration on the union of balls