TITLE:
Computation of the Eigenvalues of 3D “Charged” Integral Equations
AUTHORS:
Diego Caratelli, Pierpaolo Natalini, Paolo E. Ricci
KEYWORDS:
3D Fredholm-Stieltjes Integral Equations, Eigenvalues, Rayleigh-Ritz Method, Inverse Iteration Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.10,
October
31,
2017
ABSTRACT: 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.