Lattice Rules

DOI10.1007/978-3-031-09951-9OpenAlexW4286758941MaRDI QIDQ5094370

Peter Kritzer, Josef Dick, Friedrich Pillichshammer

Publication date: 2 August 2022

Published in: Springer Series in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-09951-9

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

Related Items (10)

Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration ⋮ The curse of dimensionality for the \(L_p\)-discrepancy with finite \(p\) ⋮ The fast reduced QMC matrix-vector product ⋮ On the distribution of partial quotients of reduced fractions with fixed denominator ⋮ On the reconstruction of functions from values at subsampled quadrature points ⋮ On the information complexity for integration in subspaces of the Wiener algebra ⋮ Tractability of \(L_2\)-approximation and integration in weighted Hermite spaces of finite smoothness ⋮ On a reduced component-by-component digit-by-digit construction of lattice point sets ⋮ A note on the CBC-DBD construction of lattice rules with general positive weights ⋮ The BMO-discrepancy suffers from the curse of dimensionality

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