Approximate solving of ill posed problems

Teresa Regińska

Mathematica Applicanda (1989)

  • Volume: 17, Issue: 31
  • ISSN: 1730-2668

Abstract

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The paper has a form of review article. The aim of the paper is to explain the meaning of solution of ill posed problem. Moreover, it is shown that by using an appropriate method the ill posed problem can be reasonably solved also in the case of incexact data. The regularization method and, especially, certin methods of constructing regularization operators are discussed. The method of approximate solving of ill posed problems is illustrated by an example of the 1st kind Fredholm equation.

How to cite

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Teresa Regińska. "Approximate solving of ill posed problems." Mathematica Applicanda 17.31 (1989): null. <http://eudml.org/doc/292944>.

@article{TeresaRegińska1989,
abstract = {The paper has a form of review article. The aim of the paper is to explain the meaning of solution of ill posed problem. Moreover, it is shown that by using an appropriate method the ill posed problem can be reasonably solved also in the case of incexact data. The regularization method and, especially, certin methods of constructing regularization operators are discussed. The method of approximate solving of ill posed problems is illustrated by an example of the 1st kind Fredholm equation.},
author = {Teresa Regińska},
journal = {Mathematica Applicanda},
keywords = {Improperly posed problems, regularization; Fredholm integral equations; Equations with linear operators},
language = {eng},
number = {31},
pages = {null},
title = {Approximate solving of ill posed problems},
url = {http://eudml.org/doc/292944},
volume = {17},
year = {1989},
}

TY - JOUR
AU - Teresa Regińska
TI - Approximate solving of ill posed problems
JO - Mathematica Applicanda
PY - 1989
VL - 17
IS - 31
SP - null
AB - The paper has a form of review article. The aim of the paper is to explain the meaning of solution of ill posed problem. Moreover, it is shown that by using an appropriate method the ill posed problem can be reasonably solved also in the case of incexact data. The regularization method and, especially, certin methods of constructing regularization operators are discussed. The method of approximate solving of ill posed problems is illustrated by an example of the 1st kind Fredholm equation.
LA - eng
KW - Improperly posed problems, regularization; Fredholm integral equations; Equations with linear operators
UR - http://eudml.org/doc/292944
ER -

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