Tractability properties of the weighted star discrepancy of regular grids
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Publication:1745636
DOI10.1016/j.jco.2017.12.003zbMath1398.65015arXiv1710.00573OpenAlexW2963818158MaRDI QIDQ1745636
Publication date: 18 April 2018
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00573
Monte Carlo methods (65C05) Complexity and performance of numerical algorithms (65Y20) Numerical integration (65D30)
Related Items (2)
Tractability properties of the weighted star discrepancy of the Halton sequence ⋮ A note on \((s,t)\)-weak tractability of the weighted star discrepancy of regular grids
Cites Work
- Tractability of multivariate problems. Volume III: Standard information for operators
- Tractability of multivariate problems. Volume I: Linear information
- Tractability of multivariate problems. Volume II: Standard information for functionals.
- When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
- Tractability results for the weighted star-discrepancy
- Approximation of analytic functions in Korobov spaces
- Exponential convergence and tractability of multivariate integration for Korobov spaces
- The weighted star discrepancy of Korobov’s $p$-sets
- The inverse of the star-discrepancy depends linearly on the dimension
- Digital inversive vectors can achieve polynomial tractability for the weighted star discrepancy and for multivariate integration
- Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces
- Introduction to Quasi-Monte Carlo Integration and Applications
- Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy
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