For nonlinear infinite dimensional equations, which to begin with: linearization or discretization?

DOI10.1216/JIE-2014-26-3-413zbMath1307.65077OpenAlexW1986183665MaRDI QIDQ489282

Mario Ahues, Laurence Grammont, Filomena D. d'Almeida

Publication date: 20 January 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1414761104

zbMATH Keywords

discretizationGalerkin methodlinearizationnumerical examplesPetrov-Galerkin methodnonlinear equationsnonlinear integral equationNewton-like methodsKantorovich projection approximationnonlinear Fredholm equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15) Fredholm integral equations (45B05)

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