Gratis lattice points for multidimensional integration

DOI10.1007/BF02278712zbMath0609.65011OpenAlexW351590243MaRDI QIDQ1086975

Peter Zinterhof

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02278712

zbMATH Keywords

pseudo-random numbersquadrature and cubature formulascomputational comparisonsMonte-Carlo methodsuseful coefficients

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items

Numerical integration of the Radon transform on classes \(E_ s^ \alpha\) in multiple (finite) dimensions, Random points in the cube and on the sphere with applications to numerical analysis, Lattice rules of minimal and maximal rank with good figures of merit, Variance reduction order using good lattice points in Monte Carlo methods, On integration lattices

Cites Work

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• Lattice methods for multiple integration
• Applications of Number Theory to Numerical Analysis
• Trigonometrische Interpolation bei Funktionen von mehreren Variablen