Notes on lattice rules

DOI10.1016/S0885-064X(03)00005-0zbMath1029.65024MaRDI QIDQ1401996

J. N. Lyness

Publication date: 19 August 2003

Published in: Journal of Complexity (Search for Journal in Brave)

zbMATH Keywords

cubature formulaintegration latticegenerator matrixlattice rulemultidimensional integrallattice-packing problem

Mathematics Subject Classification ID

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

Related Items (6)

Exponential convergence and tractability of multivariate integration for Korobov spaces ⋮ Five- and six-dimensional lattice rules generated by structured matrices ⋮ A new class of equal-weight integration rules on the hypercube ⋮ Five-dimensional $K$-optimal lattice rules ⋮ Discrepancy Theory and Quasi-Monte Carlo Integration ⋮ Proof techniques in quasi-Monte Carlo theory

Cites Work

• Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree
• An Introduction to Lattice Rules and their Generator Matrices
• Minimal cubature formulae of trigonometric degree
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