An order-optimal method for solving an inverse problem for a~parabolic equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 4, pp. 451-465.

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An order-optimal method for solving an inverse problem for a parabolic equation with a variable coefficient is proposed.
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V. P. Tanana. An order-optimal method for solving an inverse problem for a~parabolic equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 4, pp. 451-465. http://geodesic.mathdoc.fr/item/SJVM_2010_13_4_a7/

[1] Isakov G. N., Kuzin A. Ya., Savelev V. N., Ermolaev F. V., “Opredelenie kharakteristik tonkosloinykh teplozaschitnykh pokrytii iz resheniya obratnykh zadach teplo- i massoperenosa”, Fizika goreniya i vzryva, 39:5 (2003), 86–96

[2] Tanana V. P., Danilin A. R., “Ob optimalnosti regulyarizuyuschikh algoritmov pri reshenii nekorrektnykh zadach”, Differentsialnye uravneniya, 12:7 (1976), 1323–1326 | MR | Zbl

[3] Martynenko N. A., Pustylnikov L. M., Konechnye integralnye preobrazovaniya i ikh primenenie k issledovaniyu sistem s raspredelennymi parametrami, Nauka, M., 1986 | MR

[4] Tanana V. P., Bulatova M. G., “Otsenka pogreshnosti priblizhennogo resheniya obratnoi zadachi teplovoi diagnostiki”, Sib. zhurn. vychisl. matematiki (Novosibirsk), 13:1 (2010), 89–100 | Zbl

[5] Tanana V. P., Sidikova A. I., “Ob optimalnosti po poryadku odnogo metoda vychisleniya znachenii neogranichennogo operatora i ego prilozheniya”, Sib. zhurn. industrialnoi matematiki, 12:3(39) (2009), 130–140 | MR