A NOTE ON THE GALERKIN METHODS STABILITY

Authors
TITENSKY ME
Citation
Me. Titensky, A NOTE ON THE GALERKIN METHODS STABILITY, Mathematische Nachrichten, 176, 1995, pp. 287-299
Citations number
25
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
176
Year of publication
1995
Pages
287 - 299
Database
ISI
SICI code
0025-584X(1995)176:<287:ANOTGM>2.0.ZU;2-0
Abstract
Numerical stability of the Galerkin method for some class of semilinea r evolution equations is studied. The stability is established in the l(p) (1 less than or equal to p less than or equal to infinity) norms. Our results are applied to the special coordinate systems. All the co nditions of the stability theorems proved in this note may be readily verifiable in practice for them.