Processing of Experimental Curves by Applying a Regularized Double Period Methodстатья
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Дата последнего поиска статьи во внешних источниках: 30 декабря 2016 г.
Аннотация:In physical and engineering applications, an important task is the processing of experimental curves measured with considerable errors. Such problems are solved by applying the regularization method, in which success relies heavily on the researcher’s intuition. We propose using an approximation based on the double period method designed for smooth aperiodic functions. Regularization makes use of a Tikhonov stabilizer with the second derivative squared. As a result, the spurious oscillations are suppressed and the shape
of an experimental curve is well approximated. This approach makes it possible to solve broad classes of problems in a unified manner. The method is demonstrated as applied to the approximation of cross sections of nuclear reactions important for controlled thermonuclear fusion. Tables recommended as reference data are obtained.