AbstractWe consider lattice rules (i.e. cubature formulas with equal coefficients whose nodes lie on a lattice) which are exact for trigonometric polynomials in two variables with different spectra. Various quality indexes are characterized. Extremal properties of indexes are obtained. A new family of lattice rules of trigonometric degree is presented. Also a family of lattice rules exact on trigonometric polynomials of a hexagonal spectrum is constructed
AbstractFor periodic integrands with unit period in each variable, certain error bounds for lattice ...
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for t...
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
AbstractWe consider lattice rules (i.e. cubature formulas with equal coefficients whose nodes lie on...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
AbstractAn elementary introduction to lattices, integration lattices and lattice rules is followed b...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
In this talk I start with introducing lattice rules for numerical integration with the trigonometric...
In classical multivariate quadrature with product rules it is natural to select an appropriate one-d...
A comprehensive overview of lattice rules and polynomial lattice rules is given for function spaces ...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
Lattice rules are a type of integration rules designed for periodic multivariate functions on a unit...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
AbstractFor periodic integrands with unit period in each variable, certain error bounds for lattice ...
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for t...
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
AbstractWe consider lattice rules (i.e. cubature formulas with equal coefficients whose nodes lie on...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
AbstractAn elementary introduction to lattices, integration lattices and lattice rules is followed b...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
In this talk I start with introducing lattice rules for numerical integration with the trigonometric...
In classical multivariate quadrature with product rules it is natural to select an appropriate one-d...
A comprehensive overview of lattice rules and polynomial lattice rules is given for function spaces ...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
Lattice rules are a type of integration rules designed for periodic multivariate functions on a unit...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
AbstractFor periodic integrands with unit period in each variable, certain error bounds for lattice ...
We introduce a criterion for the evaluation of multidimensional quadrature, or cubature, rules for t...
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
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