Optimal Recovery of Pipe Temperature from Inaccurate Measurements
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223
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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.
@article{TM_2021_312_a11,
author = {G. G. Magaril-Il'yaev and K. Yu. Osipenko and E. O. Sivkova},
title = {Optimal {Recovery} of {Pipe} {Temperature} from {Inaccurate} {Measurements}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {216--223},
publisher = {mathdoc},
volume = {312},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2021_312_a11/}
}
TY - JOUR AU - G. G. Magaril-Il'yaev AU - K. Yu. Osipenko AU - E. O. Sivkova TI - Optimal Recovery of Pipe Temperature from Inaccurate Measurements JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2021 SP - 216 EP - 223 VL - 312 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2021_312_a11/ LA - ru ID - TM_2021_312_a11 ER -
%0 Journal Article %A G. G. Magaril-Il'yaev %A K. Yu. Osipenko %A E. O. Sivkova %T Optimal Recovery of Pipe Temperature from Inaccurate Measurements %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2021 %P 216-223 %V 312 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2021_312_a11/ %G ru %F TM_2021_312_a11
G. G. Magaril-Il'yaev; K. Yu. Osipenko; E. O. Sivkova. Optimal Recovery of Pipe Temperature from Inaccurate Measurements. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function Spaces, Approximation Theory, and Related Problems of Analysis, Tome 312 (2021), pp. 216-223. http://geodesic.mathdoc.fr/item/TM_2021_312_a11/