Geodesic
Iterative solution of a~retrospective inverse problem of heat conduction
Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 119-127.

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A problem with inverse time for a parabolic equation is considered. To solve it approximately, an iterative method for a more precise definition of the initial conditions is employed. Problems of selection of iterative parameters as well as operators of transition to a new iteration are considered. Examples of predictions of a model problem with random errors in the input data are provided. 
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     author = {A. A. Samarskii and P. N. Vabishchevich and V. l. Vasiliev},
     title = {Iterative solution of a~retrospective inverse problem of heat conduction},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--127},
     publisher = {mathdoc},
     volume = {9},
     number = {5},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/}
}
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A. A. Samarskii; P. N. Vabishchevich; V. l. Vasiliev. Iterative solution of a~retrospective inverse problem of heat conduction. Matematičeskoe modelirovanie, Tome 9 (1997) no. 5, pp. 119-127. http://geodesic.mathdoc.fr/item/MM_1997_9_5_a11/