Constructing cubature formulae by the method of reproducing kernel

Authors
Xu, U
Citation
U. Xu, Constructing cubature formulae by the method of reproducing kernel, NUMER MATH, 85(1), 2000, pp. 155-173
Citations number
22
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
85
Issue
1
Year of publication
2000
Pages
155 - 173
Database
ISI
SICI code
0029-599X(200003)85:1<155:CCFBTM>2.0.ZU;2-W
Abstract
We examine the method of reproducing kernel for constructing cubature formu lae on the unit ball and on the triangle in light of the compact formulae o f the reproducing kernels that are discovered recently. Several new cubatur e formulae are derived.