Geodesic
Optimal Recovery of Pipe Temperature from Inaccurate Measurements
Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223 
G. G. Magaril-Il'yaev; K. Yu. Osipenko; E. O. Sivkova. Optimal Recovery of Pipe Temperature from Inaccurate Measurements. Informatics and Automation, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223. http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a11/
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_312_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of optimal recovery of the solution of the heat equation on a manifold at a given instant of time from inaccurate measurements of this solution at other instants of time is considered, the manifold being the product of the real line and a circle. A family of optimal recovery methods is constructed.

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