Email this article Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind
- Authors: Voytishek A.V.1,2
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics
- Novosibirsk State University
- Issue: Vol 12, No 2 (2018)
- Pages: 382-394
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213072
- DOI: https://doi.org/10.1134/S1990478918020187
- ID: 213072
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Abstract
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).
About the authors
A. V. Voytishek
Institute of Computational Mathematics and Mathematical Geophysics; Novosibirsk State University
Author for correspondence.
Email: vav@osmf.sscc.ru
Russian Federation, pr. Аkad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
