Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18AM2-E
Session:
Number:18AM2-E-1
The interplay between nonlinear analysis and numerical analysis for semilinear elliptic problems.
P. J. McKenna,
pp.244-245
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18AM2-E-1
Summary:
The idea of this talk is to explore the interplay between the theorems of nonlinear analysis of semilinear elliptic partial differential equations and the numerical schemes that are used to find their approximate solutions. In particular, we study how theorems of symmetry and a priori boundedness for the continuous case can shed light on what can be proved for discrete approximation.