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Ian Sloan and Lattice Rules (Q4611826)

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scientific article; zbMATH DE number 7004250

Language	Label	Description	Also known as
English	Ian Sloan and Lattice Rules	scientific article; zbMATH DE number 7004250

Statements

scholarly article

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Ian Sloan and Lattice Rules (English)

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Harald Niederreiter

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Friedrich Pillichshammer

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Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

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publication date

22 January 2019

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-72456-0_33

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Theory of Reproducing Kernels

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Constructing Embedded Lattice Rules for Multivariate Integration

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On the convergence rate of the component-by-component construction of good lattice rules

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Construction algorithms for polynomial lattice rules for multivariate integration

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Good lattice rules in weighted Korobov spaces with general weights

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Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels

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The construction of good extensible rank-1 lattices

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High-dimensional integration: The quasi-Monte Carlo way

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Lattice rules for nonperiodic smooth integrands

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Error Bounds for the Method of Good Lattice Points

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Lattice Integration Rules of Maximal Rank Formed by Copying Rank 1 Rules

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Quasi-Monte Carlo for finance applications

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Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

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Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

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Parameters for Integrating Periodic Functions of Several Variables

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The existence of good extensible rank-1 lattices

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Extensible Lattice Sequences for Quasi-Monte Carlo Quadrature

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Zur angenäherten Berechnung mehrfacher Integrale

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Imbedded Lattice Rules for Multidimensional Integration

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On Computing the Lattice Rule Criterion R

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Implementation of a lattice method for numerical multiple integration

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Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces

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Component-by-component construction of good lattice rules with a composite number of points

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Component-By-Component Construction of Good Intermediate-Rank Lattice Rules

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Lattice rule algorithms for multivariate approximation in the average case setting

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Quasi-Monte Carlo for highly structured generalised response models

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Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands

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QUASI-MONTE CARLO METHODS FOR HIGH-DIMENSIONAL INTEGRATION: THE STANDARD (WEIGHTED HILBERT SPACE) SETTING AND BEYOND

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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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Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients

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A best lower bound for good lattice points

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Introduction to Quasi-Monte Carlo Integration and Applications

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Some Properties of Rank-2 Lattice Rules

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A search program for finding optimal integration lattices

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Construction algorithms for good extensible lattice rules

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Lattice Rules for Multiple Integration and Discrepancy

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Integration of nonperiodic functions of two variables by Fibonacci lattice rules

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Applied Number Theory

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Tractability of multivariate problems. Volume I: Linear information

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Tractability of multivariate problems. Volume II: Standard information for functionals.

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Tractability of multivariate problems. Volume III: Standard information for operators

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Tractability of approximation for weighted Korobov spaces on classical and quantum computers

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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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A lower bound for rank 2 lattice rules

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Pointwise convergence of multiple Fourier series: Sufficient conditions and an application to numerical integration

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Tables for the computation of multiple integrals using the method of optimal coefficients

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On the Choice of Weights in a Function Space for Quasi-Monte Carlo Methods for a Class of Generalised Response Models in Statistics

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Lattice methods for multiple integration

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Lattice Methods for Multiple Integration: Theory, Error Analysis and Examples

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The Representation of Lattice Quadrature Rules as Multiple Sums

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Lattice Rules: Projection Regularity and Unique Representations

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Component-by-component construction of good lattice rules

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A Computer Search of Rank-2 Lattice Rules for Multidimensional Quadrature

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An intractability result for multiple integration

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

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Tractability of multivariate integration for weighted Korobov classes

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Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces

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On the step-by-step construction of quasi--Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces

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Efficient Weighted Lattice Rules with Applications to Finance

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Brownian bridge and principal component analysis: towards removing the curse of dimensionality

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Quasi-Monte Carlo Methods in Financial Engineering: An Equivalence Principle and Dimension Reduction

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On Korobov Lattice Rules in Weighted Spaces

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Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-72456-0_33

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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:4611826

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