Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind
- Autores: Voytishek A.1,2
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Afiliações:
- Institute of Computational Mathematics and Mathematical Geophysics
- Novosibirsk State University
- Edição: Volume 12, Nº 2 (2018)
- Páginas: 382-394
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213072
- DOI: https://doi.org/10.1134/S1990478918020187
- ID: 213072
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Resumo
Under study are the randomized algorithms for numerical solution of the Fredholm integral equations of the second kind (from the viewpoint of their application for the practically important problems of mathematical physics). The projection, grid and projection-grid methods are distinguished. Certain advantages of the projection and projection-grid methods are demonstrated (allowing using them for numerical solution of the equations with the integrable singularities in kernels and free terms).
Sobre autores
A. Voytishek
Institute of Computational Mathematics and Mathematical Geophysics; Novosibirsk State University
Autor responsável pela correspondência
Email: vav@osmf.sscc.ru
Rússia, pr. Аkad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090