Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind
Autor: | A. V. Voytishek |
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Rok vydání: | 2018 |
Předmět: |
Integrable system
Applied Mathematics Numerical analysis MathematicsofComputing_NUMERICALANALYSIS Grid 01 natural sciences Integral equation Industrial and Manufacturing Engineering Randomized algorithm 010101 applied mathematics 010104 statistics & probability Development (topology) Applied mathematics Gravitational singularity 0101 mathematics Projection (set theory) Mathematics |
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 |
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