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Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces (Q2345667)

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Language	Label	Description	Also known as
English	Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces	scientific article

Statements

scholarly article

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Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces (English)

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Journal of Computational and Applied Mathematics

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publication date

22 May 2015

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full work available at URL

https://arxiv.org/abs/1306.4573

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zbMATH Keywords

quasi-Monte Carlo

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numerical integration

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higher order digital nets

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interlaced polynomial lattice rules

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MaRDI profile type

MaRDI publication profile

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Low-discrepancy point sets obtained by digital constructions over finite fields

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Polynomial Lattice Point Sets

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Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions

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Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order

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On Quasi-Monte Carlo Rules Achieving Higher Order Convergence

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Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

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Construction algorithms for higher order polynomial lattice rules

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Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules

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Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules

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Fast construction of higher order digital nets for numerical integration in weighted Sobolev spaces

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Construction of interlaced scrambled polynomial lattice rules of arbitrary high order

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When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?

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A lower estimate for the error of quadrature formulae for certain classes of functions

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A class of generalized Walsh functions

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Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces

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Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces

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Construction algorithms for polynomial lattice rules for multivariate integration

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Identifiers

zbMATH Open document ID

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10.1016/j.cam.2015.02.041

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2345667

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