Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences
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Publication:1750388
DOI10.1007/s10208-017-9345-0zbMath1393.41010arXiv1603.08638OpenAlexW2319072435MaRDI QIDQ1750388
Kosuke Suzuki, Takehito Yoshiki, Takashi Goda
Publication date: 18 May 2018
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.08638
Monte Carlo methods (65C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)
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A Tool for Custom Construction of QMC and RQMC Point Sets ⋮ Lattice rules in non-periodic subspaces of Sobolev spaces ⋮ On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness ⋮ Digital net properties of a polynomial analogue of Frolov's construction
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