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Computation of Spectral Characteristics for Charged Integral Equations

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Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering (AMINSE 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 276))

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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.

Dedicated to the Memory of Prof. Dr. David Gordeziani

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Author information

Authors and Affiliations

  1. The Antenna Company, High Tech Campus, 5656 AE, Eindhoven, The Netherlands

    Diego Caratelli

  2. Tomsk Polytechnic University, 84/3 Sovetskaya Street, 634050, Tomsk, Russia

    Diego Caratelli

  3. Dipartimento di Matematica e Fisica, Largo San Leonardo Murialdo, 1, Università degli Studi Roma Tre, Roma, 00146, Italia

    Pierpaolo Natalini

  4. CdM Sapienza, Università di Roma, Facoltà di Economia, Via del Castro Laurenziano, 9, Roma, 00161, Italia

    Roberto Patrizi

  5. International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, Roma, 00186, Italia

    Paolo E. Ricci

Authors
  1. Diego Caratelli
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  2. Pierpaolo Natalini
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  3. Roberto Patrizi
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  4. Paolo E. Ricci
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Corresponding author

Correspondence to Paolo E. Ricci .

Editor information

Editors and Affiliations

  1. Ilia Vekua Institute of Applied Mathematics & Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

    George Jaiani

  2. Georgian Technical University, Tbilisi, Georgia

    David Natroshvili

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Caratelli, D., Natalini, P., Patrizi, R., Ricci, P.E. (2019). Computation of Spectral Characteristics for Charged Integral Equations. In: Jaiani, G., Natroshvili, D. (eds) Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering. AMINSE 2017. Springer Proceedings in Mathematics & Statistics, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-030-10419-1_3

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