Computation of spectral characteristics for charged integral equations

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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 languageEnglish
Title of host publicationMathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017
EditorsDavid Natroshvili, George Jaiani
PublisherSpringer
Pages33-66
Number of pages34
Volume276
ISBN (Print)9783030104184
DOIs
Publication statusPublished - 1 Jan 2019
Event3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017) - Tbilisi, Georgia
Duration: 7 Dec 20179 Dec 2017
http://www.viam.science.tsu.ge/aminse2017/

Conference

Conference3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, (AMINSE 2017)
Abbreviated titleAMINSE2017
CountryGeorgia
CityTbilisi
Period7/12/179/12/17
Internet address

Fingerprint

Integral Equations
Inverse Iteration
Stieltjes Integral
Fredholm Equation
Inverse Method
Iteration Method
Rayleigh
Eigenfunctions
Strings
Eigenvalue
Approximation

Keywords

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

Cite this

Caratelli, D., Natalini, P., Patrizi, R., & Ricci, P. E. (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, pp. 33-66). Springer. https://doi.org/10.1007/978-3-030-10419-1_3
Caratelli, Diego ; Natalini, Pierpaolo ; Patrizi, Roberto ; Ricci, Paolo E. / Computation of spectral characteristics for charged integral equations. Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017. editor / David Natroshvili ; George Jaiani. Vol. 276 Springer, 2019. pp. 33-66
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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; Ricci, Paolo E.

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 proceedingConference contributionAcademicpeer-review

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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.

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Caratelli D, Natalini P, Patrizi R, Ricci PE. Computation of spectral characteristics for charged integral equations. In Natroshvili D, Jaiani G, editors, Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering - AMINSE 2017. Vol. 276. Springer. 2019. p. 33-66 https://doi.org/10.1007/978-3-030-10419-1_3