BLENDING METHODS FOR 2 CLASSICAL INTEGRALS

被引：4

作者：

GODZINA, G

机构：

[1] Mathematisches Institut, Friedrich-Alexander-Universität Erlangen-Nümberg, Erlangen, D-91054

来源：

COMPUTING | 1995年 / 54卷 / 03期

关键词：

CUBATURE; QUADRATURE; PRODUCT INTEGRALS; TSCHEBYCHEFF WEIGHTS;

D O I：

10.1007/BF02253617

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Blending Methods for Two Classical Integrals. A construction method for cubature formulae of an arbitrary degree for d-dimensional product-integrals, d greater than or equal to 2, will be presented. To get a high degree of exactness with a moderate number of nodes quadrature rules are blended in a suitable way. For product-integrals with Tschebycheff-weight-functions the corresponding cubature formulae are minimal or 'minimal + 1' in the case d = 2. In higher dimensions the number of nodes of the constructed formulae is far beyond the number of nodes of other approaches known.

引用

页码：273 / 282

页数：10

共 20 条

[1]

ABRAMOWITZ M, 1964, HANDB MATH, P782

[2]

BERENS H, UNPUB MULTIVARIATE G

[3] ANOTHER STEP FORWARD IN SEARCHING FOR CUBATURE FORMULAS WITH A MINIMAL NUMBER OF KNOTS FOR THE SQUARE [J].