A new class of equal-weight integration rules on the hypercube

DOI10.1007/s00211-004-0562-5zbMath1067.65005OpenAlexW2084897054MaRDI QIDQ706596

Neil A. Butler

Publication date: 8 February 2005

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-004-0562-5

zbMATH Keywords

quasi-Monte Carlo integrationequal-weight integration rulesgood lattice points methodintegral approximation on hypercube

Mathematics Subject Classification ID

Monte Carlo methods (65C05)

Cites Work

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• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
• Zur angenäherten Berechnung mehrfacher Integrale
• Low-discrepancy and low-dispersion sequences
• Numerical integration using sparse grids
• Smolyak's construction of cubature formulas of arbitrary trigonometric degree
• Notes on lattice rules
• Optimal and orthogonal Latin hypercube designs for computer experiments
• Discrépance de suites associées à un système de numération (en dimension s)
• Quasi-Monte Carlo methods and pseudo-random numbers

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