Tikhonov's “Regularization Method” for weak solutions of boundary value problems

TIKHONOV [1] has proposed a method for the approximate solution of degenerate systems of linear algebraic equations. This paper contains a generalization of this method to the infinite-dimensional case and an application to the approximate solution of Dirichlet's problem for the wave equation.

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1969, Vol.9 (3), p.287-293
Main Author: Denchev, R.
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:TIKHONOV [1] has proposed a method for the approximate solution of degenerate systems of linear algebraic equations. This paper contains a generalization of this method to the infinite-dimensional case and an application to the approximate solution of Dirichlet's problem for the wave equation.
ISSN:0041-5553
DOI:10.1016/0041-5553(69)90081-0