A numerical method for solving nonlinear ill-posed problems

A two-step iterative process for the numerical solution of nonlinear problems is suggested. In order to avoid the ill-posed inversion of the Fréchet derivative operator, some regularization parameter is introduced. A convergence theorem is proved. The proposed method is illustrated by a numerical ex...

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Bibliographic Details
Published in:	Numerical functional analysis and optimization Vol. 20; no. 3-4; pp. 317 - 332
Main Authors:	Ramm, Alexander G., Smirnova, Alexandra B.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Marcel Dekker, Inc 01.01.1999 Taylor & Francis
Subjects:	Calculus of variations and optimal control Exact sciences and technology Fréchet derivative ill-posed problem Mathematical analysis Mathematics Partial differential equations regularization Sciences and techniques of general use Two-step iterative method Non linear equation Simpson formula Operator equation Frechet derivative A2 method Hilbert space Ill posed problem Frechet differentiability Regularization Solvability Partial differential equation Convergence
ISSN:	0163-0563, 1532-2467
Online Access:	Get full text
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