2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63242We consider stability and approximate reconstruction of Riemannian manifold when the finite number of eigenvalues of the Laplace-Beltrami operator and the boundary values of the corresponding eigenfunctions are given. The reconstruction can be done in stable way when manifold is a priori known to satisfy natural geometrical conditions related to curvature and other invariant quantities.Analysis of PDEsStability and Reconstruction in Gel'fand Inverse Boundary Spectral Problemtext