PROOF OF A CONJECTURED ASYMPTOTIC-EXPANSION FOR THE APPROXIMATION OF SURFACE INTEGRALS

Authors
VERLINDEN P COOLS R
Citation
P. Verlinden et R. Cools, PROOF OF A CONJECTURED ASYMPTOTIC-EXPANSION FOR THE APPROXIMATION OF SURFACE INTEGRALS, Mathematics of computation, 63(208), 1994, pp. 717-725
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
63
Issue
208
Year of publication
1994
Pages
717 - 725
Database
ISI
SICI code
0025-5718(1994)63:208<717:POACAF>2.0.ZU;2-G
Abstract
Georg introduced a new kind of trapezoidal rule and midpoint rule to a pproximate a surface integral over a curved triangular surface and con jectured the existence of an asymptotic expansion for this approximati on as the subdivision of the surface gets finer. The purpose of this p aper is to prove the conjecture.