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The ultratriangular form for prime-power lattice rules

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Publication:1807784
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DOI10.1016/S0377-0427(98)00260-XzbMath0944.65025MaRDI QIDQ1807784

Stephen Joe, Muni V. Reddy

Publication date: 24 September 2000

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


zbMATH Keywords

canonical formnumerical cubature\(D\)-\(Z\) formprime-power lattice rulesultratriangular form


Mathematics Subject Classification ID

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


Related Items (1)

Lattice rules of minimal and maximal rank with good figures of merit



Cites Work

  • Zur angenäherten Berechnung mehrfacher Integrale
  • A constructive approach to lattice rule canonical forms
  • Lattice Rules: Projection Regularity and Unique Representations
  • The Representation of Lattice Quadrature Rules as Multiple Sums
  • Quasi-Monte Carlo methods and pseudo-random numbers
  • Triangular canonical forms for lattice rules of prime-power order
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