### 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 | Georgia |

City | Tbilisi |

Period | 7/12/17 → 9/12/17 |

Internet address |

### Fingerprint

### Keywords

- Charged Fredholm-Stieltjes integral equations
- Eigenvalues
- Inverse iteration method
- The Rayleigh-Ritz method

### Cite this

*Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017*(Vol. 276, pp. 33-66). Springer. https://doi.org/10.1007/978-3-030-10419-1_3

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*Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017.*vol. 276, Springer, pp. 33-66, 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017), Tbilisi, Georgia, 7/12/17. https://doi.org/10.1007/978-3-030-10419-1_3

**Computation of spectral characteristics for charged integral equations.** / Caratelli, Diego; Natalini, Pierpaolo; Patrizi, Roberto; Ricci, Paolo E.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Computation of spectral characteristics for charged integral equations

AU - Caratelli, Diego

AU - Natalini, Pierpaolo

AU - Patrizi, Roberto

AU - Ricci, Paolo E.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Charged Fredholm-Stieltjes integral equations

KW - Eigenvalues

KW - Inverse iteration method

KW - The Rayleigh-Ritz method

UR - http://www.scopus.com/inward/record.url?scp=85060694422&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-10419-1_3

DO - 10.1007/978-3-030-10419-1_3

M3 - Conference contribution

AN - SCOPUS:85060694422

SN - 9783030104184

VL - 276

SP - 33

EP - 66

BT - Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017

A2 - Natroshvili, David

A2 - Jaiani, George

PB - Springer

ER -