A useful result in searches for good vertex-modified number-theoretic rules

DOI10.1016/0377-0427(96)00007-6zbMath0861.65017OpenAlexW2050141816MaRDI QIDQ1923469

Stephen Joe

Publication date: 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(96)00007-6

zbMATH Keywords

number-theoretic rulescomputation of multiple integralsquadratic discrepancyvertex variancevertex-modified lattice rules

Mathematics Subject Classification ID

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

Cites Work

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• Zur angenäherten Berechnung mehrfacher Integrale
• Parameters for Integrating Periodic Functions of Several Variables
• The number of lattice rules having given invariants
• Lattice Integration Rules of Maximal Rank Formed by Copying Rank 1 Rules
• A Computer Search of Rank-2 Lattice Rules for Multidimensional Quadrature
• Intermediate Rank Lattice Rules for Multidimensional Integration
• Tables for the computation of multiple integrals using the method of optimal coefficients
• Some applications of multidimensional integration by parts
• The Lattice Point Covering Theorem for Rectangles

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