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
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
AbstractWe consider lattice rules (i.e. cubature formulas with equal coefficients whose nodes lie on...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
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...
AbstractAn elementary introduction to lattices, integration lattices and lattice rules is followed b...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
In this talk I start with introducing lattice rules for numerical integration with the trigonometric...
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 ...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
In classical multivariate quadrature with product rules it is natural to select an appropriate one-d...
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
AbstractWe consider lattice rules (i.e. cubature formulas with equal coefficients whose nodes lie on...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
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...
AbstractAn elementary introduction to lattices, integration lattices and lattice rules is followed b...
In this paper some of the results of a recent computer search [CoLy99] for optimal three- and four-d...
In this talk I start with introducing lattice rules for numerical integration with the trigonometric...
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 ...
In this paper we study construction algorithms for polynomial lattice rules over arbitrary polynomia...
AbstractWe describe the results of a computer-based search for five and six-dimensional lattice rule...
In classical multivariate quadrature with product rules it is natural to select an appropriate one-d...
We study the trigonometric degree of pairs of embedded cubature rules for the approximation of two-d...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
The continuing and widespread use of lattice rules for high-dimensional numerical quadrature is driv...
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