Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight

被引：160

作者：

Genz, A

Keister, BD

机构：

[1] WASHINGTON STATE UNIV,DEPT MATH,PULLMAN,WA 99164

[2] CARNEGIE MELLON UNIV,DEPT PHYS,PITTSBURGH,PA 15213

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 71卷 / 02期

基金：

美国国家科学基金会;

关键词：

multiple integrals; infinite regions; Gaussian weight; Kronrod-Patterson rules;

D O I：

10.1016/0377-0427(95)00232-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fully symmetric interpolatory integration rules are constructed for multidimensional integrals over infinite integration regions with a Gaussian weight function. The points for these rules are determined by successive extensions of the one-dimensional three-point Gauss-Hermite rule. The new rules are shown to be efficient and only moderately unstable.

引用

页码：299 / 309

页数：11

共 16 条

[1]

[Anonymous], STAT COMPUT

[2]

CAPSTICK S, IN PRESS J COMPUT PH

[3] AN IMBEDDED FAMILY OF CUBATURE FORMULAS FOR N-DIMENSIONAL PRODUCT REGIONS [J].

COOLS, R ;

HAEGEMANS, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 51 (02) :251-262

[4]

DAVIS PJ, 1984, METHODS NUMERICAL IN

[5]

ENGELS H, 1980, NUMERICAL QUADRATURE

[6]

EVANS M, 1992, COMPUT SCI STAT, V24, P310

[7]

Gautschi Walter, 1988, NUMERICAL METHODS AP, VIII, P39

[8] FULLY SYMMETRICAL INTERPOLATORY RULES FOR MULTIPLE INTEGRALS [J].

GENZ, A .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1986, 23 (06) :1273-1283

[9]

HEYDE K, 1990, NUCLEAR SHELL MODEL

[10] P-WAVE BARYONS IN THE QUARK-MODEL [J].

ISGUR, N ;

KARL, G .

PHYSICAL REVIEW D, 1978, 18 (11) :4187-4205

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