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- W4249300470 abstract "The parameter estimation problem in systems governed by stochastic partial differential equations is discussed. A recursive algorithm is derived to identify space-dependent parameters in a class of distributed systems driven by random inputs. The algorithm uses noisy observations taken over a finite number of equidistant observation points located in a spatial domain. The estimates obtained are r.m.s. - optimal due to the assumptions about the original system and the noise. Simulation studies reveal good convergence of the algorithm. This algorithm was computer realized for parabolic, hyperbolic, and the Helmholtz equations. Simulation results show its undisputable advantages in compare to the algorithm of Kubrusly and Curtain derived for the same situation, since it lends itself more readily to digital computer realization and the estimates obtained converge at a faster rate. For systems with constant parameters the computation procedure is much simplified." @default.
- W4249300470 created "2022-05-12" @default.
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- W4249300470 date "1987-01-01" @default.
- W4249300470 modified "2023-09-27" @default.
- W4249300470 title "THE ESTIMATION ALGORITHM FOR SPACE-DEPENDENT PARAMETERS IN NOISY DISTRIBUTED PARAMETER SYSTEMS" @default.
- W4249300470 doi "https://doi.org/10.1016/b978-0-08-033452-3.50013-2" @default.
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