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Discrete‐time GALERKIN Methods for Nonlinear Evolution Equations
Author(s) -
Gröger Konrad
Publication year - 1978
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19780840115
Subject(s) - mathematics , galerkin method , nonlinear system , convergence (economics) , mathematical analysis , discontinuous galerkin method , finite element method , physics , quantum mechanics , economics , thermodynamics , economic growth
We consider a discrete‐time GALERKIN method for nonlinear evolution equations. We prove convergence properties of this method under various hypotheses. Moreover, we deal with iteration methods reducing the nonlinear GALERKIN equations to linear equations in finite dimensional spaces.