ON SOME CONNECTIONS BETWEEN WELL-POSEDNESS AND GENERAL-PROPERTIES OF NUMERICAL-METHODS

Authors
VIANELLO M ZANOVELLO R
Citation
M. Vianello et R. Zanovello, ON SOME CONNECTIONS BETWEEN WELL-POSEDNESS AND GENERAL-PROPERTIES OF NUMERICAL-METHODS, Zeitschrift fur angewandte Mathematik und Mechanik, 75(3), 1995, pp. 237-241
Citations number
27
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
75
Issue
3
Year of publication
1995
Pages
237 - 241
Database
ISI
SICI code
0044-2267(1995)75:3<237:OSCBWA>2.0.ZU;2-Z
Abstract
Some new connections between well-posedness of problems and general fe atures of the associated numerical methods are proposed. In particular , sufficient conditions for uniqueness and continuous dependence on da ta of the solutions to a problem are introduced, exploiting directly n umerical properties as stability and consistency of a suitable discret ization procedure. The results are proved in the framework of a genera l theory of convergence for numerical methods. Illustrative examples a re presented.