CONVERGENCE OF THE APPROXIMATION OF WAVE- FUNCTIONS BY OSCILLATORY FUNCTIONS IN THE HIGH-FREQUENCY LIMIT

Authors
DELABOURDONNAYE A
Citation
A. Delabourdonnaye, CONVERGENCE OF THE APPROXIMATION OF WAVE- FUNCTIONS BY OSCILLATORY FUNCTIONS IN THE HIGH-FREQUENCY LIMIT, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(8), 1994, pp. 765-768
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
8
Year of publication
1994
Pages
765 - 768
Database
ISI
SICI code
0764-4442(1994)318:8<765:COTAOW>2.0.ZU;2-O
Abstract
In this Note, is presented an analysis of the approximation by oscilla tory functions of functions of the type A (x) e(ikphi(x)) WhiCh WaS in troduced by the author in [1], [2] or [3]. It is shown here that when the number of degrees of freedom by wavelength is increased, the discr etization error tends to 0.