Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind

Autor: A. V. Voytishek
Rok vydání: 2018
Předmět:
Zdroj: Journal of Applied and Industrial Mathematics. 12:382-394
ISSN: 1990-4797
1990-4789
DOI: 10.1134/s1990478918020187
Popis: 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).
Databáze: OpenAIRE