The Existence of Efficient Lattice Rules for Multidimensional Numerical Integration

DOI10.2307/2153035zbMath0743.65018OpenAlexW4251271293MaRDI QIDQ3987936

Harald Niederreiter

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153035

zbMATH Keywords

lattice rulesmultidimensional numerical integrationmethod of good lattice pointsprescribed invariants

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical quadrature and cubature formulas (65D32) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (2)

Lattice Rules by Component Scaling ⋮ A lower bound for rank 2 lattice rules

Cites Work

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• Zur angenäherten Berechnung mehrfacher Integrale
• Lattice methods for multiple integration
• A best lower bound for good lattice points
• Existence of good lattice points in the sense of Hlawka
• Lattice Rules for Multiple Integration and Discrepancy
• An Introduction to Lattice Rules and their Generator Matrices
• Parameters for Integrating Periodic Functions of Several Variables
• Lattice Rules: Projection Regularity and Unique Representations
• Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples
• The Representation of Lattice Quadrature Rules as Multiple Sums
• Applications of Number Theory to Numerical Analysis
• Quasi-Monte Carlo methods and pseudo-random numbers
• A Computer Search of Rank-2 Lattice Rules for Multidimensional Quadrature
• Some Properties of Rank-2 Lattice Rules

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