Esquisse d'une théorie décompositionnelle

DOI10.1051/m2an/1996300707991zbMath0879.65032OpenAlexW2506486572MaRDI QIDQ5690048

Lionel Gabet

Publication date: 4 February 1997

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193824

zbMATH Keywords

Banach spacesfixed pointnonlinear operator equationsAdomian methodcontraction operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Solution of physical problems by decomposition ⋮ A method for solving nonlinear differential equations ⋮ Solving frontier problems of physics by decomposition method: a new approach ⋮ A new algorithm for solving nonlinear boundary value problems ⋮ A Taylor expansion approach using Faà di Bruno's formula for solving nonlinear integral equations of the second and third kind ⋮ Application of the decomposition method to identify the distributed parameters of an elliptical equation ⋮ The diffusion-Brusselator equation

Cites Work

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• Polynomial nonlinearities in differential equations
• New results for convergence of Adomian's method applied to integral equations
• Nonlinear stochastic differential delay equations
• Convergence of Adomian's Method
• ALGEBRAIC COMPUTATION AND THE DECOMPOSITION METHOD
• A review of the decomposition method and some recent results for nonlinear equations
• Stochastic systems