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 contribution

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 New York LLC
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

Conference

Conference3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2017
CountryGeorgia
CityTbilisi
Period7.12.179.12.17

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Computation of spectral characteristics for charged integral equations'. Together they form a unique fingerprint.

  • 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 New York LLC. https://doi.org/10.1007/978-3-030-10419-1_3