Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension

Authors
Styles, V
Citation
V. Styles, Error estimates for a finite-difference approximation of a mean field model of superconducting vortices in one-dimension, IMA J NUM A, 21(3), 2001, pp. 667-701
Citations number
13
Categorie Soggetti
Mathematics
Journal title
IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN journal
02724979 → ACNP
Volume
21
Issue
3
Year of publication
2001
Pages
667 - 701
Database
ISI
SICI code
0272-4979(200107)21:3<667:EEFAFA>2.0.ZU;2-4
Abstract
Error estimates for a semi-implicit finite-difference approximation of a me an field model of superconducting vortices are obtained. The L-infinity(L-1 ) error between the approximate and the exact superconducting vortex densit y of the model is of order h(1/3).