Computation of spectral characteristics for charged integral equations

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

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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 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

Keywords

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

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