Geodesic
The finite-dimensional approximation for the Lavrent'ev method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 1, pp. 59-66

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The generalization of the Lavrent'ev method for a solution of ill-posed problems is considered. The convergence criterion for the finite-dimensional approximation in terms of duality of the Banach spaces has been obtained. 
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     author = {L. D. Menikhes and V. P. Tanana},
     title = {The finite-dimensional approximation for the {Lavrent'ev} method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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L. D. Menikhes; V. P. Tanana. The finite-dimensional approximation for the Lavrent'ev method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 1 (1998) no. 1, pp. 59-66. http://geodesic.mathdoc.fr/item/SJVM_1998_1_1_a4/