Different quality indexes for lattice rules

被引：5

作者：

Cools, R

Reztsov, A

机构：

[1] KATHOLIEKE UNIV LEUVEN,DEPT COMP SCI,B-3001 HEVERLEE,BELGIUM

[2] UNIV AUCKLAND,DEPT IND & APPL MATH,DIV SCI & TECHNOL,AUCKLAND 1,NEW ZEALAND

来源：

JOURNAL OF COMPLEXITY | 1997年 / 13卷 / 02期

关键词：

D O I：

10.1006/jcom.1997.0443

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We 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. (C) 1997 Academic Press.

引用

页码：235 / 258

页数：24

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