Penalty function method of ill-posed problems solutions in electro-optical and spectroscopy intensity fluctuation methods

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735415386
DOIs
StatePublished - 21 Jul 2017
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
Duration: 19 Sep 201625 Sep 2016
http://icnaam.org/

Publication series

NameAIP Conference Proceedings
Volume1863
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Abbreviated title ICNAAM 2016
CountryGreece
CityRhodes
Period19/09/1625/09/16
Internet address

Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Penalty function method of ill-posed problems solutions in electro-optical and spectroscopy intensity fluctuation methods'. Together they form a unique fingerprint.

Cite this