Computation of spectral characteristics for charged integral equations

Diego Caratelli; Pierpaolo Natalini; Roberto Patrizi; Paolo E. Ricci

doi:10.1007/978-3-030-10419-1_3

Computation of spectral characteristics for charged integral equations

Diego Caratelli, Pierpaolo Natalini, Roberto Patrizi, Paolo E. Ricci

Electromagnetics

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

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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
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	https://doi.org/10.1007/978-3-030-10419-1_3
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)
Abbreviated title	AMINSE2017
Country/Territory	Georgia
City	Tbilisi
Period	7/12/17 → 9/12/17
Internet address	http://www.viam.science.tsu.ge/aminse2017/

Keywords

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

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

Cite this

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title = "Computation of spectral characteristics for charged integral equations",

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.",

keywords = "Charged Fredholm-Stieltjes integral equations, Eigenvalues, Inverse iteration method, The Rayleigh-Ritz method",

author = "Diego Caratelli and Pierpaolo Natalini and Roberto Patrizi and Ricci, {Paolo E.}",

year = "2019",

month = jan,

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doi = "10.1007/978-3-030-10419-1_3",

language = "English",

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booktitle = "Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017",

publisher = "Springer",

address = "Germany",

note = "3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017), AMINSE2017 ; Conference date: 07-12-2017 Through 09-12-2017",

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Caratelli, D, Natalini, P, Patrizi, R & Ricci, PE 2019, Computation of spectral characteristics for charged integral equations. in D Natroshvili & G Jaiani (eds), 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 et al.
Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017. ed. / David Natroshvili; George Jaiani. Vol. 276 Springer, 2019. p. 33-66.

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

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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

T2 - 3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017)

Y2 - 7 December 2017 through 9 December 2017

ER -

Computation of spectral characteristics for charged integral equations

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