Author(s)

Diego Caratelli^1,2, Pierpaolo Natalini³, Paolo E. Ricci⁴

¹The Antenna Company, High Tech Campus, Eindhoven, the Netherlands.
²Tomsk Polytechnic University, Tomsk, Russia.
³Università degli Studi Roma Tre, Largo San Leonardo Murialdo, Roma, Italia.
⁴International Telematic University UniNettuno, Corso Vittorio Emanuele II, Roma, Italia.

The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of 3D Fredholm-Stieltjes integral equations, i.e. 3D Fredholm equations with respect to suitable Stieltjes-type measures. Some applications are shown, relevant to the problem of computing the eigenvalues of a body charged by a finite number of masses concentrated on points, curves or surfaces lying in.

3D Fredholm-Stieltjes Integral Equations, Eigenvalues, Rayleigh-Ritz Method, Inverse Iteration Method

Caratelli, D. , Natalini, P. and Ricci, P. (2017) Computation of the Eigenvalues of 3D “Charged” Integral Equations. Journal of Applied Mathematics and Physics, 5, 2051-2071. doi: 10.4236/jamp.2017.510171.