An application of Diophantine approximation to the construction of rank-1 lattice quadrature rules

DOI10.1090/S0025-5718-96-00758-2zbMath0853.65026OpenAlexW2053935777MaRDI QIDQ4718413

Timothy N. Langtry

Publication date: 3 December 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00758-2

zbMATH Keywords

Diophantine approximationnumerical quadraturecontinued fractionslattice rulesmultiple integrationnumerical cubature

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Numerical quadrature and cubature formulas (65D32) Diophantine inequalities (11J25) Numerical integration (65D30)

Related Items (3)

Lattice rules of minimal and maximal rank with good figures of merit ⋮ Determination of the rank of an integration lattice ⋮ A construction of higher-rank lattice rules

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