Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Penalty function method of ill-posed problems solutions in electro-optical and spectroscopy intensity fluctuation methods. / Bregman, K. M.; Petrov, M. P.; Trusov, A. A.; Voitylov, A. V.; Vojtylov, V. V.
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. ред. / Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2017. 170010 (AIP Conference Proceedings; Том 1863).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Penalty function method of ill-posed problems solutions in electro-optical and spectroscopy intensity fluctuation methods
AU - Bregman, K. M.
AU - Petrov, M. P.
AU - Trusov, A. A.
AU - Voitylov, A. V.
AU - Vojtylov, V. V.
PY - 2017/7/21
Y1 - 2017/7/21
N2 - The algorithm of Fredholm first kind integral equation solution which are used in electro-optics and dynamic light scattering is considered. The presented algorithm, unlike other algorithms aimed at solving the same problem, uses the peculiarities of the kernels of integral equations by applying additional constraints to the solution using specifically constructed penalty functions. This makes the precision of the solution higher for functions of one argument and allows to reliably solve integral equations with the solution as a function of two arguments.
AB - The algorithm of Fredholm first kind integral equation solution which are used in electro-optics and dynamic light scattering is considered. The presented algorithm, unlike other algorithms aimed at solving the same problem, uses the peculiarities of the kernels of integral equations by applying additional constraints to the solution using specifically constructed penalty functions. This makes the precision of the solution higher for functions of one argument and allows to reliably solve integral equations with the solution as a function of two arguments.
UR - http://www.scopus.com/inward/record.url?scp=85026667092&partnerID=8YFLogxK
U2 - 10.1063/1.4992355
DO - 10.1063/1.4992355
M3 - Conference contribution
AN - SCOPUS:85026667092
T3 - AIP Conference Proceedings
BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
A2 - Simos, Theodore E.
A2 - Simos, Theodore E.
A2 - Tsitouras, Charalambos
PB - American Institute of Physics
T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Y2 - 19 September 2016 through 25 September 2016
ER -
ID: 48680740