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

Development and Optimization of Randomized Functional Numerical Methods for Solving the... 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). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied and Industrial Mathematics Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Mathematics; Mathematics, general
ISSN
1990-4789
eISSN
1990-4797
DOI
10.1134/S1990478918020187
Publisher site
See Article on Publisher Site

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).

Journal

Journal of Applied and Industrial MathematicsSpringer Journals

Published: May 29, 2018

References