Van der Corput and Golden Ratio Sequences Along the Hilbert Space-Filling Curve

DOI10.1007/978-3-319-33507-0_28zbMath1356.65086OpenAlexW2504602122MaRDI QIDQ2957056

Harald Niederreiter, Zhijian He, Mathieu Gerber, Colas Schretter, Nicolas Chopin

Publication date: 20 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-33507-0_28

zbMATH Keywords

numerical integrationnumerical experimentsdiscrepancyFibonacci numbersvan der Corput sequenceHilbert curvequasi-random pointsGolden ratio sequenceHilbert space-filling curve

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Irregularities of distribution, discrepancy (11K38) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Negative association, ordering and convergence of resampling methods ⋮ Asymptotic normality of extensible grid sampling ⋮ An Efficient Approximation of Concept Stability Using Low-Discrepancy Sampling

Uses Software

• SFCGen

Cites Work

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• Local antithetic sampling with scrambled nets
• Space-Filling Curves
• Spacefilling curves and the planar travelling salesman problem
• A direct inversion method for non-uniform quasi-random point sequences
• SFCGen: A framework for efficient generation of multi-dimensional space-filling curves by recursion
• Alternative Algorithm for Hilbert's Space-Filling Curve

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