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- W4385317013 abstract "This work is devoted to narrowing down the set of solutions to the inverse problem, found using a combination of the Tikhonov’s regularization method and the method of choosing quasi-optimal values of the regularization parameter (next, it will be called the method to find the quasi-optimal regularization parameter or the method FqORP). First, a mathematical model described by a system of differential equations is studied. Then, an inverse problem was posed: by the given values of the unknown functions of the studied mathematical model at different points in time, determine its parameters. Further, to solve this inverse problem, the Tikhonov’s regularization method is used. The values of the regularization parameter are determined by the method FqORP. As a result, a set of approximations to the solution of the inverse problem is found. Finally, two optimization criteria are used to optimize this set. In this method, two optimization criteria are used to select the approximate parameters of the studied mathematical model. The practical implication of this work is that, by solving the direct problem with the found approximate parameters, it is possible to predict the change over time in the properties and behavior of the mathematical model." @default.
- W4385317013 created "2023-07-28" @default.
- W4385317013 creator A5086396507 @default.
- W4385317013 date "2023-01-01" @default.
- W4385317013 modified "2023-09-27" @default.
- W4385317013 title "Optimization in the Method of Choosing Quasi-Optimal Values of the Regularization Parameter" @default.
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- W4385317013 doi "https://doi.org/10.1007/978-981-99-2710-4_40" @default.
- W4385317013 hasPublicationYear "2023" @default.
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