Geodesic
On error estimation for the quasi-inversion method for solving a~semi-linear ill-posed problem
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 259-271

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In this paper, the approximate solutions error estimates are obtained for an ill-posed semi-linear Cauchy problem. The continuity module of the inverse operator is used as a standard estimator for obtaining the error estimates. The value of the continuity module is calculated for two classes of uniform regularization of the original problem. The quasi-inversion method is used to construct stable approximate solutions. 
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     author = {I. V. Tabarintseva},
     title = {On error estimation for the quasi-inversion method for solving a~semi-linear ill-posed problem},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {259--271},
     publisher = {mathdoc},
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     number = {3},
     year = {2005},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2005_8_3_a6/}
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I. V. Tabarintseva. On error estimation for the quasi-inversion method for solving a~semi-linear ill-posed problem. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 8 (2005) no. 3, pp. 259-271. http://geodesic.mathdoc.fr/item/SJVM_2005_8_3_a6/