Abstract
The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of charged Fredholm-Stieltjes integral equations, i.e. Fredholm equations with respect to suitable Stieltjes-type measures. Some applications are shown, including approximation of the relevant eigenfunctions. Starting from the problem of a string charged by a finite number of cursors, a survey including the extensions to the 2D and 3D dimensional problems is presented.
Original language | English |
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Title of host publication | Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017 |
Editors | David Natroshvili, George Jaiani |
Publisher | Springer |
Pages | 33-66 |
Number of pages | 34 |
Volume | 276 |
ISBN (Print) | 9783030104184 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Event | 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017) - Tbilisi, Georgia Duration: 7 Dec 2017 → 9 Dec 2017 http://www.viam.science.tsu.ge/aminse2017/ |
Conference
Conference | 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017) |
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Abbreviated title | AMINSE2017 |
Country/Territory | Georgia |
City | Tbilisi |
Period | 7/12/17 → 9/12/17 |
Internet address |
Keywords
- Charged Fredholm-Stieltjes integral equations
- Eigenvalues
- Inverse iteration method
- The Rayleigh-Ritz method