Citation
Z. Wiener et Y. Yomdin, From formal numerical solutions of elliptic PDE's to the true ones, MATH COMPUT, 69(229), 2000, pp. 197-235
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718
→ ACNP
Volume
69
Issue
229
Year of publication
2000
Pages
197 - 235
Database
ISI
SICI code
0025-5718(200001)69:229<197:FFNSOE>2.0.ZU;2-V
Abstract
We propose a discretization scheme for a numerical solution of elliptic PDE
's, based on local representation of functions, by their Taylor polynomials
(jets). This scheme utilizes jet calculus to provide a very high order of
accuracy for a relatively small number of unknowns involved.