Lattice rules of minimal and maximal rank with good figures of merit
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Publication:1964083
DOI10.1016/S0377-0427(99)00220-4zbMath0941.65019OpenAlexW2091571379WikidataQ127658883 ScholiaQ127658883MaRDI QIDQ1964083
Publication date: 20 July 2000
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00220-4
Monte Carlo methods (65C05) Numerical quadrature and cubature formulas (65D32) Tables in numerical analysis (65A05)
Related Items (2)
Interpolation lattices for hyperbolic cross trigonometric polynomials ⋮ A construction of higher-rank lattice rules
Cites Work
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- On integration lattices
- Tables of good lattices in four and five dimensions
- Gratis lattice points for multidimensional integration
- A search program for finding optimal integration lattices
- An algorithm for finding optimal integration lattices of composite order
- The ultratriangular form for prime-power lattice rules
- A table of good lattice points in three dimensions
- Good lattic points, discrepancy, and numerical integration
- Parameters for Integrating Periodic Functions of Several Variables
- The Representation of Lattice Quadrature Rules as Multiple Sums
- Lattice Integration Rules of Maximal Rank Formed by Copying Rank 1 Rules
- Imbedded Lattice Rules for Multidimensional Integration
- A Computer Search of Rank-2 Lattice Rules for Multidimensional Quadrature
- Lattice Rules by Component Scaling
- Intermediate Rank Lattice Rules for Multidimensional Integration
- An application of Diophantine approximation to the construction of rank-1 lattice quadrature rules
- Triangular canonical forms for lattice rules of prime-power order
- Tables for the computation of multiple integrals using the method of optimal coefficients
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